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Applied Mathematics

The objective of the doctoral programme in Applied Mathematics (hereafter, DAM) is to offer training in research techniques in the field of mathematics, which takes shape in the form of formulating and drafting a doctoral thesis. A doctoral thesis is understood to be research work that contains original contributions that are apt to be published in the peer-reviewed communication channels that exist for disseminating quality scientific output.

The programme has an interdisciplinary nature in the sense that research into both the more theoretical aspects of mathematics and research aimed at solving problems related to technology are welcomed. In fact, the programme has as another of its objective to provide advanced mathematical training and education to graduates from other disciplines.

The DAM collaborates with various mathematics research groups. The UPC focuses mainly on studies related to engineering and architecture, and it is one of the Spanish universities with the most mathematics professors, boasting around 200 in the Department of Mathematics alone, plus those maths professors working in other departments, including Civil and Environmental Engineering, Computer Sciences, and Computer Architecture. Thus, since its foundation, the DAM is and has been the natural offspring of the UPC’s strength in mathematics.

The DAM itself is structured around five lines of research

1. Algebra and geometry
2. Discrete and algorithmic mathematics
3. Modelling in engineering and biomedical sciences
4. Differential equations

5. Scientific computing

These lines of research reflect the main areas of focus of the mathematics research groups at the UPC.

The School of Mathematics and Statistics (FME, by its Catalan acronym) is the body that oversees the DAM, and it serves as a natural meeting point for the UPC’s mathematics community. The FME also offers undergraduate- and master’s-level studies in mathematics, ensuring a quality education in mathematics at all levels. See http://fme.upc.edu/ca/estudis/graus/grau-en-matematiques for the undergraduate programme and http://mamme.masters.upc.edu/en for the master’s programme in Applied Mathematics and Mathematical Engineering (MAMME).

It is also worth mentioning the Barcelona Graduate School of Mathematics (BGSMath, https://bgsmath.cat/), an organisation where research groups, researchers and especially doctoral candidates in the field of mathematics meet. Four universities and the Centre for Mathematics Research are involved with the School, and mathematics researchers from the UPC contribute at all levels.

The programme coordinator, the programme’s Academic Committee and a technical representative from the FME’s administrative staff handle the management of the DAM. The programme’s Academic Committee is made up of the coordinator, the dean of the FME, the director of the Department of Mathematics or the person whom he/she delegates, a professor from each of the five lines of research, the head of services and management of the FME or the person whom he/she delegates and a student representative (see https://appliedmathematics.postgrau.upc.edu/en/thesis/academic-committee). The programme coordinator is appointed by the dean of the FME and must be approved by the Academic Committee.

Other Universities


COORDINATOR

Ventura Capell, Enric

CONTACT

School of Mathematics and Statistics
South Diagonal Campus, Building U. C/ Pau Gargallo, 14. 08028 Barcelona
Tel.: 934 015 861, 934 015 916
E-mail: doctoma.fme@upc.edu

https://appliedmathematics.postgrau.upc.edu/en

General information

Access profile

The doctoral programme in Applied Mathematics is designed for students with abstract reasoning abilities and interest in solving problems, in addition to having good work habits, being dedicated to studying and having a passion for mathematics. Applicants must have a solid background in mathematics. Along this line, the main undergraduate and master’s degrees that will provide access to this doctoral programme are the following:

Undergraduate degrees:
• Bachelor’s degree in Mathematics
• Bachelor’s degree in Physics
Engineering:
• Bachelor’s degree in Computer Science
• Bachelor’s degree in Statistics


Master’s degrees:
• Official master’s degrees in mathematics (Advanced Mathematics, Applied Mathematics, Mathematics Research, etc.)
• Official master’s degrees in Physics
• Official master’s degrees in Engineering
• Official master’s degrees in Computer Science
• Official master’s degrees in Statistics

This is not a closed list of degrees. Each applicant will be assessed based on whether the education he/she received in mathematics in his/her undergraduate and master’s studies is appropriate for a doctoral programme in applied mathematics.

Output profile

Doctoral candidates who complete a doctoral degree will have acquired the following competencies, which are needed to carry out quality research (Royal Decree 99/2011, of 28 January, which regulates official doctoral studies):

a) A systematic understanding of the field of study and a mastery of the research skills and methods related to the field.
b) An ability to conceive, design or create, put into practice and adopt a substantial process of research or creation.
c) An ability to contribute to pushing back the frontiers of knowledge through original research.
d) A capacity for critical analysis and an ability to assess and summarise new and complex ideas.
e) An ability to communicate with the academic and scientific community and with society in general as regards their fields of knowledge in the manner and languages that are typical of the international scientific community to which they belong.
f) An ability to foster scientific, technological, social, artistic and cultural progress in academic and professional contexts within a knowledge-based society.

The award of a doctoral degree must equip the graduate for work in a variety of settings, especially those requiring creativity and innovation. Doctoral graduates must have at least acquired the personal skills needed to:

a) Develop in contexts in which there is little specific information.
b) Find the key questions that must be answered to solve a complex problem.
c) Design, create, develop and undertake original, innovative projects in their field.
d) Work as part of a team and independently in an international or multidisciplinary context.
e) Integrate knowledge, deal with complexity and make judgements with limited information.
f) Offer criticism on and intellectually defend solutions.

Finally, with respect to competencies, doctoral students must:
a) have acquired advanced knowledge at the frontier of their discipline and demonstrated, in the context of internationally recognised scientific research, a deep, detailed and well-grounded understanding of theoretical and practical issues and scientific methodology in one or more research fields;
b) have made an original and significant contribution to scientific research in their field of expertise that has been recognised as such by the international scientific community;
c) have demonstrated that they are capable of designing a research project that serves as a framework for carrying out a critical analysis and assessment of imprecise situations, in which they are able to apply their contributions, expertise and working method to synthesise new and complex ideas that yield a deeper knowledge of the research context in which they work;
d) have developed sufficient autonomy to set up, manage and lead innovative research teams and projects and scientific collaborations (both national and international) within their subject area, in multidisciplinary contexts and, where appropriate, with a substantial element of knowledge transfer;
e) have demonstrated that they are able to carry out their research activity in a socially responsible manner and with scientific integrity;
f) have demonstrated, within their specific scientific context, that they are able to make cultural, social or technological advances and promote innovation in all areas within a knowledge-based society;
g) have demonstrated that they are able to participate in scientific discussions at the international level in their field of expertise and disseminate the results of their research activity to audiences of all kinds.

Number of places

20

Duration of studies and dedication regime

Duration
The maximum period of study for full-time doctoral studies is three years, counted from the date of admission to the programme to the date of submission of the doctoral thesis. The academic committee of the doctoral programme may authorise a doctoral candidate to pursue doctoral studies on a part-time basis. In this case, the maximum period of study is five years, counting from the date of admission to the programme to the date of submission of the doctoral thesis. For calculating these periods, the date of admission is considered to be the date of the first enrolment for tutorials, and the date of submission the moment in which the Doctoral School officially deposits the doctoral thesis.

For full-time doctoral candidates, the minimum period of study is two years, counted from the date of an applicant's admission to the programme until the date on which the doctoral thesis is deposited; for part-time doctoral candidates it is four years. When there are justified grounds for doing so, and the thesis supervisor and academic tutor have given their authorisation, doctoral candidates may request that the academic committee of their doctoral programme exempt them from the minimum period of study requirement.

The calculation of periods of study will not include periods of absence due to illness, pregnancy or any other reason provided for in the regulations in force. Students who find themselves in any of these circumstances must notify the academic committee of the doctoral programme, which, where appropriate, must inform the Doctoral School. Doctoral candidates may also temporarily withdraw from the programme for up to one year, and this period may be extended for an additional year. Doctoral candidates who wish to interrupt their studies must submit a justified request to the academic committee of the doctoral programme, which will decide whether or not to approve the request. Each programme will establish conditions for readmission to doctoral studies.

Extension
If full-time doctoral candidates have not applied to deposit their thesis by the end of the three-year period of study, the academic committee of the programme may authorise an extension of up to one year. In exceptional circumstances, a further one-year extension may be granted, subject to the conditions established by the corresponding doctoral programme. In the case of part-time doctoral candidates, an extension of two years may be authorised. In both cases, in exceptional circumstances a further one-year extension may be granted by the Doctoral School's Standing Committee, upon the submission of a reasoned application by the academic committee of the doctoral programme.

Dismissal from the doctoral programme
A doctoral candidate may be dismissed from a doctoral programme for the following reasons:

  • The doctoral candidate submitting a justified application to withdraw from the programme.
  • The maximum period of study and of extensions thereof ending.
  • The doctoral candidate not having enrolled every academic year (unless he or she has been authorised to temporarily withdraw).
  • The doctoral candidate failing two consecutive assessments.
  • The doctoral candidate having disciplinary proceedings filed against him or her that rule that he or she must be dismissed from the UPC.

Dismissal from the programme implies that doctoral candidates cannot continue studying at the UPC and the closing of their academic record. This notwithstanding, they may apply to the academic committee of the programme for readmission and the committee must reevaluate them in accordance with the criteria established in the regulations.

Organization

COORDINATOR:
ACADEMIC COMMISSION OF THE PROGRAM:
Other Universities:


STRUCTURAL UNITS:
  • School of Mathematics and Statistics (PROMOTORA)
  • Barcelona Supercomputing Center-Centro Nacional de Supercomputación
  • Department of Civil and Environmental Engineering
  • Department of Mathematics
  • Institute of Robotics and Industrial Informatics
SPECIFIC URL OF THE DOCTORAL PROGRAM:
https://appliedmathematics.postgrau.upc.edu/en

CONTACT:
School of Mathematics and Statistics
South Diagonal Campus, Building U. C/ Pau Gargallo, 14. 08028 Barcelona
Tel.: 934 015 861, 934 015 916
E-mail: doctoma.fme@upc.edu

Agreements with other institutions


Access, admission and registration

Access profile

The doctoral programme in Applied Mathematics is designed for students with abstract reasoning abilities and interest in solving problems, in addition to having good work habits, being dedicated to studying and having a passion for mathematics. Applicants must have a solid background in mathematics. Along this line, the main undergraduate and master’s degrees that will provide access to this doctoral programme are the following:

Undergraduate degrees:
• Bachelor’s degree in Mathematics
• Bachelor’s degree in Physics
Engineering:
• Bachelor’s degree in Computer Science
• Bachelor’s degree in Statistics


Master’s degrees:
• Official master’s degrees in mathematics (Advanced Mathematics, Applied Mathematics, Mathematics Research, etc.)
• Official master’s degrees in Physics
• Official master’s degrees in Engineering
• Official master’s degrees in Computer Science
• Official master’s degrees in Statistics

This is not a closed list of degrees. Each applicant will be assessed based on whether the education he/she received in mathematics in his/her undergraduate and master’s studies is appropriate for a doctoral programme in applied mathematics.

Access requirements

Applicants must hold a Spanish bachelor’s degree or equivalent and a Spanish master’s degree or equivalent, provided they have completed a minimum of 300 ECTS credits on the two degrees (Royal Decree 43/2015, of 2 February)

In addition, the following may apply:

  • Holders of an official degree awarded by a university in Spain or any other country in the European Higher Education Area, pursuant to the provisions of Article 16 of Royal Decree 1393/2007, of 29 October, which establishes official university course regulations, who have completed a minimum of 300 ECTS credits on official university degrees, of which at least 60 must be at the master's degree level.
  • Holders of an official Spanish bachelor’s degree comprising at least 300 credits, as provided for by EU regulations. Holder of degrees of this kind must complete bridging courses unless the curriculum of the bachelor’s degree in question included research training credits equivalent in value to those which would be earned on a master's degree.
  • Holders of an official university qualification who, having passed the entrance examination for specialised medical training, have completed at least two years of a training course leading to an official degree in a health-sciences specialisation.
  • Holders of a degree issued under a foreign education system. In these cases, homologation is not required, but the UPC must verify that the degree certifies a level of training equivalent to an official Spanish master's degree and qualifies the holder for admission to doctoral studies in the country where it was issued. Admission on this basis does not imply homologation of the foreign degree or its recognition for any purpose other than admission to doctoral studies.
  • Holders of a Spanish doctoral qualification issued under previous university regulations.
  • Note 1: Doctoral studies entrance regulations for holders of an undergraduate degree awarded before the introduction of the EHEA (CG 47/02 2014)

    Note 2: Governing Council Decision 64/2014, which approves the procedure and criteria for assessing the fulfilment of academic admission requirements for doctoral studies by holders of non-homologated foreign degrees (CG 25/03 2014)

Admission criteria and merits assessment

During the admission process, the following elements will be considered (with their associated weights):

• Academic transcript from the applicant’s undergraduate and master’s programmes (70%).

• CV (10%).

• Motivation letter and/or personal interview (10%).

• Two letters of recommendation from professors/researchers (10%).

These criteria will be published on the programme’s web page. The final score will be used as the admission criteria in the case that demand exceeds the number of available seats.

There is no provision for entrance exams or any specific entrance tests. If candidates’ backgrounds in mathematics or the subject of the candidates’ doctoral theses so require, they will be required to take bridging courses in the master’s programme in Advanced Mathematics and Mathematical Engineering (MAMME), the official master’s programme offered by the FME that is associated with this doctoral programme.

Training complements

The academic committee for the programme may require that doctoral students pass specific bridging courses. In such cases, the committee will keep track of the bridging courses completed and establish appropriate criteria to limit their duration. The courses could involve training in research or transversal education, but in no case will candidates be required to enrol in 60 or more ECTS credits.

Depending on the doctoral student activity report, the programme’s Academic Committee may propose measures, in addition to those established by current regulations, that would disassociate candidates who do not meet the established requisites.

Additionally, students who require it based on their previous education and the subject of their thesis, will have to take courses from the master’s programme in Advanced Mathematics and Mathematical Engineering (MAMME) offered by the School of Mathematics and Statistics. A detailed list of the subjects offered is listed hereafter:

• Commutative Algebra
• Noncommutative Algebra
• Number Theory
• Codes and Cryptography
• Combinatorics
• Discrete and Algorithmic Geometry
• Mathematical Modelling with Partial Differential Equations
• Computational Mechanics
• Mathematical Models in Biology
• Hamiltonian Systems
• Numerical Methods for Partial Differential Equations
• Algebraic Geometry
• Graph Theory
• Quantitative and Qualitative Methods in Dynamical Systems
• Advanced Course in Partial Differential Equations
• Numerical Methods for Dynamical Systems
• Differentiable Manifolds

Enrolment period for new doctoral students

All up-to-date information can be found on the FME’s web page: https://fme.upc.edu/ca/curs-actual/matricula/estudiants-de-doctorat

More information at the registration section for new doctoral students

Enrolment period

All up-to-date information can be found on the FME’s web page: https://fme.upc.edu/ca/curs-actual/matricula/estudiants-de-doctorat

More information at the general registration section

Monitoring and evaluation of the doctoral student

Procedure for the preparation and defense of the research plan

Doctoral candidates must submit a research plan, which will be included in their doctoral student activity report, before the end of the first year. The plan may be improved over the course of the doctoral degree. It must be endorsed by the tutor and the supervisor, and it must include the method that is to be followed and the aims of the research.

At least one of these annual assessments will include a public presentation and defence of the research plan and work done before a committee composed of three doctoral degree holders, which will be conducted in the manner determined by each academic committee. The examination committee awards a Pass or Fail mark. A Pass mark is a prerequisite for continuing on the doctoral programme. Doctoral candidates awarded a Fail mark must submit a new research plan for assessment by the academic committee of the doctoral programme within six months.

The committee assesses the research plan every year, in addition to all of the other activities in the doctoral student activity report. Doctoral candidates who are awarded two consecutive Fail marks for the research plan will be obliged to definitely withdraw from the programme.

If they change the subject of their thesis, they must submit a new research plan.

Formation activities

Activity: Tutorial.
Hours: 288.
Type: compulsory.

Activity: Mobility.
Hours: 480.
Type: optional.

Activity: Research seminars.
Hours: 2.
Type: optional.

Activity: Workshops.
Hours: 30.
Type: optional.

Activity: Training in information skills.
Hours: 1.5.
Type: optional.

Activity: Research methodologies.
Hours: 12.
Type: optional.

Activity: Innovation and creativity.
Hours: 8.
Type: optional.

Activity: Language and communication skills.
Hours: 18.
Type: optional.

Activity: Assessment based on doctoral student activity report (DAD) and research plan.
Hours: 4.
Type: compulsory.

Procedure for assignment of tutor and thesis director

The academic committee of the doctoral programme assigns a thesis supervisor to each doctoral candidate when they are admitted or enrol for the first time, taking account of the thesis supervision commitment referred to in the admission decision.

The thesis supervisor will ensure that training activities carried out by the doctoral candidate are coherent and suitable, and that the topic of the candidate’s doctoral thesis will have an impact and make a novel contribution to knowledge in the relevant field. The thesis supervisor will also guide the doctoral candidate in planning the thesis and, if necessary, tailoring it to any other projects or activities undertaken. The thesis supervisor will generally be a UPC professor or researcher who holds a doctoral degree and has documented research experience. This includes PhD-holding staff at associated schools (as determined by the Governing Council) and UPC-affiliated research institutes (in accordance with corresponding collaboration and affiliation agreements). When thesis supervisors are UPC staff members, they also act as the doctoral candidate’s tutor.

PhD holders who do not meet these criteria (as a result of their contractual relationship or the nature of the institution to which they are attached) must be approved by the UPC Doctoral School's Standing Committee in order to participate in a doctoral programme as researchers with documented research experience.

The academic committee of the doctoral programme may approve the appointment of a PhD-holding expert who is not a UPC staff member as a candidate’s thesis supervisor. In such cases, the prior authorisation of the UPC Doctoral School's Standing Committee is required. A UPC staff member who holds a doctoral degree and has documented research experience must also be proposed to act as a co-supervisor, or as the doctoral candidate’s tutor if one has not been assigned.

A thesis supervisor may step down from this role if there are justified reasons (recognised as valid by the committee) for doing so. If this occurs, the academic committee of the doctoral programme will assign the doctoral candidate a new thesis supervisor.

Provided there are justified reasons for doing so, and after hearing any relevant input from the doctoral candidate, the academic committee of the doctoral programme may assign a new thesis supervisor at any time during the period of doctoral study.

If there are academic reasons for doing so (an interdisciplinary topic, joint or international programmes, etc.) and the academic committee of the programme gives its approval, an additional thesis supervisor may be assigned. Supervisors and co-supervisors have the same responsibilities and academic recognition.

The maximum number of supervisors of a doctoral thesis is two: a supervisor and a co-supervisor.

For theses carried out under a cotutelle agreement or as part of an Industrial Doctorate, if necessary and if the agreement foresees it this maximum number of supervisors may not apply. This notwithstanding, the maximum number of supervisors belonging to the UPC is two.

More information at the PhD theses section

Permanence

The academic committee of the programme may authorise an extension of up to one year for full-time doctoral candidates who have not applied to deposit their thesis by the end of the three-year period of study, in the terms outlined in the Academic Regulations for Doctoral Studies of the Universitat Politècnica de Catalunya. In the case of part-time candidates, an extension of two years may be authorised. In both cases, in exceptional circumstances a further one-year extension may be granted by the Doctoral School's Standing Committee, upon the submission of a reasoned application by the academic committee of the doctoral programme.

A doctoral candidate may be dismissed from a doctoral programme for the following reasons:

  • The doctoral candidate submitting a justified application to withdraw from the programme.
  • The maximum period of study and of extensions thereof ending.
  • The doctoral candidate not having enrolled every academic year (unless he or she has been authorised to temporarily withdraw).
  • The doctoral candidate failing two consecutive assessments.
  • The doctoral candidate having disciplinary proceedings filed against him or her that rule that he or she must be dismissed from the UPC.

Dismissal from the programme implies that doctoral candidates cannot continue studying at the UPC and the closing of their academic record. This notwithstanding, they may apply to the academic committee of the programme for readmission and the committee must reevaluate them in accordance with the criteria established in the regulations.

International Mention

The doctoral degree certificate may include International Doctorate mention. In this case, the doctoral candidate must meet the following requirements:

a) During the period of study leading to the award of the doctoral degree, the doctoral candidate must have spent at least three months at a respected higher education institution or research centre outside Spain to complete courses or do research work. The stays and activities carried out must be endorsed by the thesis supervisor and authorised by the academic committee of the programme. The candidate must provide a certifying document issued by the person responsible for the research group of the body or bodies where the stay or activity was completed. This information will be added to the doctoral student’s activity report.
b) Part of the thesis (at least the summary and conclusions) must be written and presented in one of the languages commonly used for science communication in the relevant field of knowledge, which must not be an official language of Spain. This rule does not apply to stays and reports in Spanish or to experts from Spanish-speaking countries.
c) At least two PhD-holding experts belonging to a higher education institution or research centre outside Spain must have issued officially certified reports on the thesis.
d) The thesis examination committee must have included at least one PhD-holding expert from a higher education or research institution outside Spain who was not responsible for the candidate’s stay abroad (point a) above).
e) The thesis defence must have taken place on UPC premises or, in the case of joint programmes, at the location specified in the collaboration agreement.

Learning resources

Through the doctoral programme, the university provides candidates with a place to study and work. Similarly, candidates may use all of the resources that the university has to offer. Especially useful are the bibliographic resources, available digitally or on paper via the university’s library and documentation system. 

Doctoral Theses

List of authorized thesis for defense

  • PICCARDO, STEFANO: Simulation of two-fluid immiscible Stokes flows using hybrid nonconforming methods and geometrically unfitted meshes
    Author: PICCARDO, STEFANO
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Change of supervisor
    Deposit date: 29/09/2023
    Reading date: 04/12/2023
    Reading time: 09:00
    Reading place: Sala d'Actes FME, Edifici U, Campus Sud.
    Thesis director: ERN, ALEXANDRE | HUERTA CEREZUELA, ANTONIO | GIACOMINI, MATTEO
    Committee:
         PRESIDENT: PRUD\'HOMME, CHRISTOPHE
         SECRETARI: DIEZ MEJIA, PEDRO
         VOCAL: KRELL, STELLA
    Thesis abstract: We consider two-fluid problems involving immiscible Stokes fluids in contact and with surface tension at their interface. We develop, analyze, and compare two approaches for space discretization, the Hybrid High-Order (HHO) and the Hybridizable Discontinuous Galerkin (HDG) methods, both combined with a geometrically unfitted approach to handle fluid interfaces. Both methods do not place discrete unknowns on the interface, and for both methods, we observe optimal error decay and condition number growth. The first part of the Thesis deals with the unfitted HHO solver, where the interface is described by a level-set function and discretized using isoparametric finite elements. We use the methodology to study the equilibrium problem with a shear flow imposed at infinity, and we investigate the relationship between the eccentricity of the ellipse-shaped interface at equilibrium and the ratio of shear to surface tension force Then, we explore settings where the shape of the interface is unknown. We devise a fixed-point iterative procedure that alternates a transport step for the level-set function with the unfitted HHO solver with frozen interface. In the second part of the Thesis, the unfitted HDG solver is combined with a NURBS description of the interface and of the external boundary, enabling a seamless transition from CAD geometries. We use this solver to study one- and two-fluid Stokes problems with applications in microfluidics related to microfluidic mixers and to emulsion flows in porous media. Both applications employ a polynomial-adaptivity error estimator, delivering results with at least two significant digits. Finally, in the third part of the Thesis, the HDG and HHO methods are compared for one- and two-fluid Stokes problems. In the simplest setting, we prove that the HHO and HDG methods can differ only in the choice of the approximation spaces and of the stabilization operator.

Last update: 30/11/2023 05:45:31.

List of lodged theses

No hi ha registres per mostrar.

Last update: 30/11/2023 05:30:26.

List of defended theses by year

  • APARICIO ESTREMS, GUILLERMO: Metric-aware optimization of high-order meshes for curved adaptivity
    Author: APARICIO ESTREMS, GUILLERMO
    Thesis link: http://hdl.handle.net/10803/689346
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 26/04/2023
    Thesis director: ROCA NAVARRO, FRANCISCO JAVIER | GARGALLO PEIRO, ABEL

    Committee:
         PRESIDENT: MOXEY, DAVID
         SECRETARI: SARRATE RAMOS, JOSE
         VOCAL: MITTAL, KETAN
    Thesis abstract: To enhance the simulation accuracy when the solution presents sharp curved features, the community of high-order methods has started to curve not only the boundary but also the interior of unstructured high-order meshes. Many of these approaches contribute to curved high-order adaptivity based on error estimators. The error estimators determine a discrete metric that is used to modify the curved high-order mesh. Unfortunately, although all these approaches must modify the mesh coordinates, no approach considers metric-aware optimization of curved high-order meshes for a high-polynomial degree. Furthermore, the existing approaches neither explicitly enforce unitary Riemannian measures for all mesh entities nor specifically devise a specific-purpose solver for curved sharp features. To address these issues, this thesis aims to demonstrate metric-aware optimization of high-order meshes on curved geometry with the coordinates as design variables. To this end, it proposes the following contributions. First, to verify and optimize the stretching and alignment deviation between the mesh and an analytic metric, we define a differentiable shape distortion measure for curved high-order meshes. Second, to enforce unitary Riemannian measures of the mesh entities, we define a differentiable size-shape distortion measure for curved high-order meshes. Third, to efficiently minimize with tight tolerances a point-wise metric-aware distortion measure for curved high-order meshes, we devise a specific-purpose solver. Fourth, to apply Newton¿s method for the distortion minimization of meshes equipped with a discrete target metric, we derive up to second-order the derivatives for a high-order metric interpolation. Finally, to also match curved boundaries, we derive up to second-order the derivatives for an implicit CAD representation. In conclusion, this thesis demonstrates metric-aware optimization of high-order meshes on curved geometry. To this end, it proposes a novel metric- and geometry- aware mesh optimization framework and a specific-purpose optimization solver. These novelties will contribute to error-driven curved high-order adaptivity. Hence, they will help to enhance the simulation accuracy for solutions presenting sharp curved features.

  • BARCELÓ MERCADER, JORDI: Mathematical and computational modeling of flexoelectricity at fixed and moving interfaces, fracture surfaces and contact
    Author: BARCELÓ MERCADER, JORDI
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 08/09/2023
    Thesis director: ARIAS VICENTE, IRENE

    Committee:
         PRESIDENT: RÓDENAS GARCÍA, JUAN JOSÉ
         SECRETARI: RODRIGUEZ FERRAN, ANTONIO
         VOCAL: PANDOLFI, ANNA MARINA
    Thesis abstract: Flexoelectricity is a two-way coupling between strain gradient and polarisation or strain and polarization-gradient. Harnessing flexoelectricity as a functional property requires gradient engineering. This is a major step from the uniform-field configurations of piezoelectric devices, since piezoelectricity couples strains and polarisation. Gradients can be generated by non-uniform deformation, such as bending and torsion, or through non-uniform material distributions, electrode configurations and complex geometries. Gradient engineering thus requires accurate quantitative modelling tools capable of efficiently dealing with all these elements with high-physical fidelity in order to build engineering tools for the design of flexoelectric devices. From a mathematical point of view, flexoelectricity is modelled as a system of coupled high-order PDEs. This poses important challenges to computationally solving boundary value problems in general multi-material samples with complex geometries and electrode configurations.In this thesis, a theoretical and computational model for flexoelectricity in the presence of interfaces has been developed and implemented in the context of the hierarchical B-spline immersed boundary approach. This framework has been used to study physical material interfaces, as well as fictitious interfaces such as generalised periodicity unit cell boundaries. The former has been used in multimaterial symmetry-breaking arrangements up-scaling flexoelectricity in electromechanical devices. For the latter case, an elegant and efficient implementation making use of the periodicity of the B-spline bases functions has been derived and used for the design and analysis of flexoelectric architected periodic lattice metamaterials. Moving interfaces such as cracks and ferroelectric domain boundaries have also been studied by coupling phase-field models for fracture and ferroelectric microstructure accounting for flexoelectricity. Finally, flexoelectricity has been shown as a plausible cause for the asymmetric tribology observed in ferroelectrics in tight collaboration with experimentalists.

  • CHAHARE, NIMESH RAMESH: Mechanics of Epithelial tissue subjected to controlled pressure
    Author: CHAHARE, NIMESH RAMESH
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 20/06/2023
    Thesis director: ARROYO BALAGUER, MARINO | TREPAT GUIXER, XAVIER

    Committee:
         PRESIDENT: TRIVEDI, VIKAS
         SECRETARI: MUÑOZ ROMERO, JOSE JAVIER
         VOCAL: SUZANNE, MAGALI
    Thesis abstract: Epithelial sheets form specialized 3D structures suited to their physiological roles, such as branched alveoli in the lungs, tubes in the kidney, and villi in the intestine. To generate and maintain these structures, epithelia must undergo complex 3D deformations across length and time scales. How epithelial shape arises from active stresses, viscoelasticity, and luminal pressure remains poorly understood. To address this question, we developed a microfluidic chip and a computational framework to engineer 3D epithelial tissues with controlled shape and pressure. In the setup, an epithelial monolayer is grown on a porous surface with circular low adhesion zones. On applying hydrostatic pressure, the monolayer delaminates into a spherical cap from the circular zone. This simple shape allows us to calculate epithelial tension using Laplace's law. Through this approach, we subject the monolayer to a range of lumen pressures at different rates and hence probe the relation between strain and tension in different regimes while computationally tracking actin dynamics and their mechanical effect at the tissue scale. Slow pressure changes relative to the actin dynamics allow the tissue to accommodate large strain variations. However, under sudden pressure reductions, the tissue develops buckling patterns and folds with different degrees of symmetry-breaking to store excess tissue area. These insights allow us to pattern epithelial folds through rationally directed buckling. Our study establishes a new approach for engineering epithelial morphogenetic events.

  • COLTRARO IANNIELLO, FRANCO: Robotic manipulation of cloth: mechanical modeling and perception
    Author: COLTRARO IANNIELLO, FRANCO
    Thesis link: http://hdl.handle.net/10803/688226
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 30/03/2023
    Thesis director: AMOROS TORRENT, JAUME | ALBERICH CARRAMIÑANA, MARIA

    Committee:
         PRESIDENT: GONZALEZ DIAZ, ROCIO
         SECRETARI: SUSIN SANCHEZ, ANTONIO
         VOCAL: BRIOT, SEBASTIEN
    Thesis abstract: In this work we study various mathematical problems arising from the robotic manipulation of cloth. First, we develop a locking-free continuous model for the physical simulation of inextensible textiles. We present a novel 'finite element' discretization of our inextensibility constraints which results in a unified treatment of triangle and quadrilateral meshings of the cloth. Next, we explain how to incorporate contacts, self-collisions and friction into the equations of motion, so that frictional forces and inextensibility and collision constraints may be integrated implicitly and without any decoupling. We develop an efficient 'active-set' solver tailored to our non-linear problem which takes into account past active constraints to accelerate the resolution of unresolved contacts and moreover can be initialized from any non-necessarily feasible point. Then, we embark ourselves in the empirical validation of the developed model. We record in a laboratory setting --with depth cameras and motion capture systems-- the motions of seven types of textiles (including e.g. cotton, denim and polyester) of various sizes and at different speeds and end up with more than 80 recordings. The scenarios considered are all dynamic and involve rapid shaking and twisting of the textiles, collisions with frictional objects and even strong hits with a long stick. We then, compare the recorded textiles with the simulations given by our inextensible model, and find that on average the mean error is of the order of 1 cm even for the largest sizes (DIN A2) and the most challenging scenarios. Furthermore, we also tackle other problems relevant to robotic cloth manipulation, such as cloth perception and classification of its states. We present a reconstruction algorithm based on Morse theory that proceeds directly from a point-cloud to obtain a cellular decomposition of a surface with or without boundary: the results are a piecewise parametrization of the cloth surface as a union of Morse cells. From the cellular decomposition the topology of the surface can be then deduced immediately. Finally, we study the configuration space of a piece of cloth: since the original state of a piece of cloth is flat, the set of possible states under the inextensible assumption is the set of developable surfaces isometric to a fixed one. We prove that a generic simple, closed, piecewise regular curve in space can be the boundary of only finitely many developable surfaces with nonvanishing mean curvature. Inspired on this result we introduce the dGLI cloth coordinates, a low-dimensional representation of the state of a piece of cloth based on a directional derivative of the Gauss Linking Integral. These coordinates --computed from the position of the cloth's boundary-- allow to distinguish key qualitative changes in folding sequences.

  • FINOGINA, TAMARA: Coercion-resistant cast-as-intended verifiability in electronic voting systems
    Author: FINOGINA, TAMARA
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 02/10/2023
    Thesis director: HERRANZ SOTOCA, JAVIER

    Committee:
         PRESIDENT: RONNE, PETER BROWNE
         SECRETARI: VILLAR SANTOS, JORGE LUIS
         VOCAL: HAENNI, ROLF
    Thesis abstract: One of the most common fears regarding electronic voting is that a voting device will disregard the voter's intent and cast a different vote instead. An undetectable attack like that on a large scale will allow the adversary to control the election result completely. Therefore, the cast-as-intended verification, which ensures that the ballot contains the voter's choice and not something else, is crucial. Another common fear when introducing electronic voting is coercion, which captures a variety of ways the coercer can use to prevent voters from expressing their will. Hence, coercion resistance is a valuable property of electronic voting as well. One particularly challenging task is to find a trade-off between ensuring a voter cannot be coerced and, at the same time, preventing a malicious voting device from cheating. This thesis explores this trade-off to find how we can provide coercion-resistant cast-as-intended verification. The contributions can be roughly divided into three parts: (1) study in the standard settings, (2) exploration of post-quantum cryptography, and (3) practical constructions and search for the limitations of both properties. In the first part, we give an extensive overview of the current state of the art in electronic voting literature regarding those properties. Then, we put forward two formal definitions for achieving coercion-resistant cast-as-intended verification in settings without pre-exchanged data. After that, we present two practical constructions and prove their security under the proposed definitions. We also show the efficiency of our proposals by providing proof of the concept implementations. In the second part, we switch to post-quantum settings and identify the usability issues rooted in the lattice-based math affecting both proposed solutions. To address those issues, we present a generic transformation that departs from an interactive zero-knowledge system (that might require multiple re-runs to complete the protocol) and obtains a 3-move zero-knowledge system (without re-runs). The transformation combines the well-known Fiat-Shamir technique with several initially exchanged messages. The resulting 3-move system enjoys honest-verifier zero-knowledge and can be easily turned into a fully deniable proof using standard methods. In the final part, we focus on the practical aspects of the coercion-resistant cast-as-intended verification. First, we present the case of a computationally limited voter, which we consider the most realistic. We show that even a computationally limited voter can enjoy coercion-resistant cast-as-intended verification, but a help of a simple aid device for nonce generation is required. Also, we demonstrate that our generic definition easily adapts to the constraints of the limited voter. After that, we present ongoing work that focuses on the cases of extreme coercion based on new and unexplored mechanisms such as delay encryption and blockchain. We show an advanced coercive attack on our first construction and describe an improvement to the second solution that reduces the number of interactions to an optimal three rounds. To summarize, we start by studying coercion-resistant cast-as-intended verification in standard settings, which results in formal definitions and two practical solutions. Then we move into the post-quantum world, where we learn that an extra step is needed to preserve the usability of our previously proposed constructions, which results in the generic transformation to avoid protocol re-runs. After that, we concentrate on a computationally limited voter, which leads to another simple solution and shows the adaptability of our original definitions. Finally, we explore the extreme coercion threats, which result in a new coercion attack on the first construction and upgrade of the second solution.

  • FONT I REVERTER, JORDI: Mathematical and computational modeling of active cellular flows
    Author: FONT I REVERTER, JORDI
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 08/06/2023
    Thesis director: ARROYO BALAGUER, MARINO

    Committee:
         PRESIDENT: ETIENNE, JOCELYN
         SECRETARI: SAEZ VIÑAS, PABLO
         VOCAL: HERNÁNDEZ MACHADO, AURORA
    Thesis abstract: During development, cellular tissues undergo dramatic reconfigurations as a result oforganized flows driven by active forces. Depending on the system, cellular flows and activeforces can be understood from a continuum perspective that views tissues as active fluids, whoseeffective properties depend on processes at cellular scales. Here, we develop a mathematicaland computational modeling framework to simulate and understand cellular flows of thin tissuelayers driven by active force densities, bulk tension fields, edge line tension fields, and patternsof proliferation/extrusion. This framework is capable of describing interfacial active fluidson curved geometries or in deformable domains. We first describe the mathematical models,present the finite element discretization, verify our implementation against analytical solutions,and examine tissue dynamics under prototypical active patterns. We then apply this frameworkto understand two morphogenetic cellular flows. First, we examine supra-cellular migrationby fountain flows within planar cell clusters. This mode of supra-cellular motion is quiteprevalent but its ability to drive efficient migration is unclear due to the existence of conflictingretrograde and anterograde flows organized around two vortices, both in contact with thesubstrate. We find that efficient locomotion is achieved by patterned friction and/or cellular selfpropulsion,both of which being natural consequences of the mechanism of contact inhibitionof locomotion. Second, we use our framework to infer the active forces driving morphogeneticflows on a spherical surface during gastrulation in zebrafish embryos. Starting from individualcell tracking data, we estimate density and velocity fields, and using an inverse hydrodynamicmethod, we infer first the active force density, and then the previously unmapped activetension field in the bulk of the interfacial tissue. We finally provide conclusions and proposeideas to continue from here.

  • GUTIÉRREZ TERRADILLOS, ARMANDO: Theta correspondences and arithmetic intersections
    Author: GUTIÉRREZ TERRADILLOS, ARMANDO
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 26/05/2023
    Thesis director: ROTGER CERDÀ, VICTOR | FREIXAS I MONTPLET, GERARD

    Committee:
         PRESIDENT: MOLINA BLANCO, SANTIAGO
         SECRETARI: RIO DOVAL, ANA
         VOCAL: LEMMA, FRANCESCO
    Thesis abstract: The thesis is mainly divided into two parts. In essence, the first one is an extension of the paper [Ter22]. Using the regularized Siege-Weil formula of [GQT14] we obtain an explicit expression for the truncated integral of the Siegel theta function. The main application of this result is an explicit formula for the integral of the logarithm of the Borcherds forms. The result involves different zeta values and coefficients of Eisenstein series. It completes the work of [Kud03]. Besides the aforementioned formula for the integral of the theta function, a detailed analysis of the Siegel theta function near the infinity is required. Chapter two is an extension of the work with Antonio Cauchi in [CT]. The purpose of this part is twofold. On the one hand, under some conditions, we show that the multiplicity of the Shalika model of unramified representations for the group GU(2, 2) is one. Using this result and following the ideas of [Sak06], we are able to find an expression of the Shalika functional in terms of the Satake parameter of a representation in GSp4. On the other hand, we use this result and to establish a relationship between a zeta integral for a group GU(2,2) and a twisted standard L-function of GSp4, where the relation between the involved automorphic representations is given by the theta correspondence.

  • JIMÉNEZ RAMOS, ALBERT: Nodal distributions on the high-dimensional simplex for high-order interpolation and integration
    Author: JIMÉNEZ RAMOS, ALBERT
    Thesis link: http://hdl.handle.net/10803/689343
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 28/06/2023
    Thesis director: ROCA NAVARRO, FRANCISCO JAVIER | GARGALLO PEIRO, ABEL

    Committee:
         PRESIDENT: PERSSON, PER-OLOF
         SECRETARI: FERNANDEZ MENDEZ, SONIA
         VOCAL: RAPETTI GABELLINI, FRANCESCA
    Thesis abstract: To simulate unsteady phenomena on complex moving geometry, computational scientists and engineers have been interested in unstructured space-time discretizations. These space-time discretizations aim to overcome some issues of standard time marching methods by considering a unique mesh that discretizes the steady space-time geometry described by the moving spatial geometry. Unfortunately, they have not been widely adopted for 3D unsteady high-fidelity simulations because many fundamental capabilities related to high-order approximation to geometry and solution must still be developed in 4D. These capabilities include performing high-order numerical interpolation and integration on complex space-time geometry. To address these issues, this thesis aims to demonstrate interpolation-aware optimization of nodal distributions on the high-dimensional simplex constrained to fulfill either feasible interpolation or feasible integration with the point coordinates as design variables. To this end, it proposes the following contributions. First, to interpolate a curved subdivision model obtained from a linear triangular mesh, we devise an equispaced nodal geometry representation method. Second, to additionally preserve the required simulation intent, we devise a nodal modeling method. Third, to estimate the interpolation error of a nodal distribution, we propose a point refinement method. Fourth, to explore the nodal distributions that are the heuristically best local minima of an interpolation error proxy, we propose a specific-purpose optimization method. Fifth, to minimize the interpolation error of an initial nodal distribution, we propose a constrained optimization method. Finally, to enforce small interpolation error and exact integration, we propose a constrained optimization problem. In conclusion, this thesis demonstrates interpolation-aware optimization of nodal distributions on the high-dimensional simplex for feasible interpolation or integration. To this end, it proposes novel nodal methods to model and represent the simulation intent and to explore and optimize nodal distributions. These novelties will contribute to performing high-order numerical interpolation and integration on complex 4D geometry. Hence, they will help to exploit the benefits of high-fidelity 4D space-time simulation for 3D moving complex geometries.

  • LARRAURI BORROTO, LÁZARO ALBERTO: First Order Logic of Random Sparse Structures
    Author: LARRAURI BORROTO, LÁZARO ALBERTO
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 03/03/2023
    Thesis director: NOY SERRANO, MARCOS

    Committee:
         PRESIDENT: DAWAR, ANUJ
         SECRETARI: ATSERIAS PERI, ALBERT
         VOCAL: FERAY, VALENTIN
    Thesis abstract: This work is dedicated to the study several models of random structures from the perspective of first-order logic. We prove that the asymptotic probabilities of first-order statements converge in a general model of random structures with linear density, extending previous results by Lynch. Additionally, we give an application of this result to the random SAT problem. We also inspect the set of limiting probabilities of first-order properties in sparse binomial graphs, binomial d-uniform hypergraphs and graphs with given degree sequences. In particular, we characterize the conditions under which this set of asymptotic probabilities is dense in the interval [0, 1]. Finally, we introduce the question of whether preservation theorems, namely Los-Tarski Theorem and Lyndon¿s Theorem, hold in a probabilistic sense in various models of random graphs. We obtain several positive results in different regimes of the binomial random graph and uniform graphs from addable minor-closed classes.

  • MARTÍNEZ PINILLA, RAMIRO: Lattice-based zero-knowledge proofs of knowledge
    Author: MARTÍNEZ PINILLA, RAMIRO
    Thesis link: http://hdl.handle.net/10803/689369
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 29/09/2023
    Thesis director: MORILLO BOSCH, MARIA PAZ

    Committee:
         PRESIDENT: RÀFOLS SALVADOR, CARLA
         SECRETARI: HERRANZ SOTOCA, JAVIER
         VOCAL: GUASCH CASTELLÓ, SANDRA
    Thesis abstract: The main goal of this dissertation is to develop new lattice-based cryptographic schemes. Most of the cryptographic protocols that each and every one of us use on a daily basis are only secure under the assumption that two mathematical problems, namely the discrete logarithm on elliptic curves and the factorization of products of two primes, are computationally hard. That is believed to be true for classical computers, but quantum computers would be able to solve these problems much more efficiently, demolishing the foundations of plenty of cryptographic constructions. This reveals the importance of post-quantum alternatives, cryptographic schemes whose security relies on different problems intractable for both classical and quantum computers. The most promising family of problems widely believed to be hard for quantum computers are lattice-based problems. We increase the supply of lattice-based tools providing new Zero-Knowledge Proofs of Knowledge for the Ring Learning With Errors (RLWE) problem, perhaps the most popular lattice-based problem. Zero-Knowledge proofs are protocols between a prover and a verifier where the prover convinces the verifier of the validity of certain statements without revealing any additional relevant information. Our proofs extend the literature of Stern-based proofs, following the techniques presented by Jacques Stern in 1994. His original idea involved a code-based problem, but it has been reiteratedly improved and generalized to be used with lattices. We illustrate our proposal defining a variant of the commitment scheme, a cryptographic primitive that allows us to ensure some message was already determined at some point without revealing it until a future time, defined by Benhamouda et al. in ESORICS 2015, and proving in Zero-Knowledge the knowledge of a valid opening. Most importantly we also show how to prove that the message committed in one commitment is a linear combination, with some public coefficients, of the committed messages from two other commitments, again without revealing any further information about the messages. Finally, we also present a Zero-Knowledge proof analogous to the previous one but for multiplicative relations, something much more involved that allows us to prove any arithmetic circuit. We give first an interactive version of these proofs and then show how to construct a non-interactive one. We diligently prove that both the commitment and the companion Zero-Knowledge Proofs of Knowledge are secure under the assumption of the hardness of the underlying lattice problems. Furthermore, we specifically develop such proofs so that the arising conditions can be directly used to compute parameters that satisfy them. This way we provide a general method to instantiate our commitment and proofs with any desired security level. Thanks to this practical approach we have been able to implement all the proposed schemes and benchmark the prototype implementation with actually secure parameters, which allows us to obtain meaningful results and compare its performance with the existing alternatives. Moreover, provided that multiplication of polynomials in the quotient ring Z¿[x]/<xn+1>, with p prime and n a power of two, is the most basic operation when working with ideal lattices we comprehensively study what are the necessary and sufficient conditions needed for applying (a generalized version of) the Fast Fourier Transform (FFT) to obtain an efficient multiplication algorithm in quotient rings as Z¿[x]/<xn-a> (where we consider any positive integer m and generalize the quotient), as we think it is of independent interest. We believe such a theoretical analysis is fundamental to be able to determine when a given generalization can also be applied to design an efficient multiplication algorithm when the FFT is not defined for the ring we are considering. That is the case of the rings used for the commitment and proofs described before, where only a partial FFT is available.

  • MIRZA, WALEED AHMAD: A theoretical and computational study of the active self-organization of nematic patterns in thin cytoskeletal layers and their effect on curvature
    Author: MIRZA, WALEED AHMAD
    Thesis link: http://hdl.handle.net/10803/689383
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 16/02/2023
    Thesis director: ARROYO BALAGUER, MARINO

    Committee:
         PRESIDENT: TURLIER, HERVÉ
         SECRETARI: ORIOLA SANTANDREU, DAVID
         VOCAL: ERZBERGER, ANNA
    Thesis abstract: The structure and dynamics of important biological systems, ranging from cytoskeletal gels to tissues, are controlled by an interplay between activity, dissipation, nematic order, density, and geometry. In particular, the actin cytoskeleton is remarkably adaptable and versatile and self-organizes into a variety of architectures, notably dense nematic structures. Examples of such structures are contractile rings to accomplish cell division and wound healing, or stress fibers playing an essential role in cell spreading, force generation, and migration. However, the mechanisms leading to dense nematic bundles remain poorly understood and to our knowledge, no prior theory explains their mesoscale self-assembly. Previous hydrodynamic approaches to active nematic systems have focused on incompressible liquid crystals. However, these models are not pertinent to actin gels, which are highly porous and exhibit very large density variations controlling activity gradients and active flows. Furthermore, porous actin networks can exhibit extended isotropic states without defects, and nematic order is presumably induced by flows and active mechanisms rather than by crowding. Finally, little attention has been paid to the formulation of active nematics on deformable surfaces and to a general computational framework to address such complex problems. Finally, we lack a unified understanding of actin network polymorphism, and more specifically of the physical mechanisms that enable a single active material to adopt very different network architectures with distinct cellular functions. To address these challenges, we develop a variety of theoretical and computational models for active nematic gels. In part I of the thesis, we focus on active nematic gels confined to a plane. We develop a transparent modeling framework for density-dependent active nemato-hydrodynamics based on Onsager¿s variational formalism, according to which the dynamics result from a competition between free-energy release, dissipation and activity. We also develop a numerical finite element method based on a time-incremental version of Onsager's formalism, which inherits the nonlinear stability and thermodynamic consistency of the continuum principle. We use this numerical approach to study the assembly of a contractile ring during wound healing and the defect dynamics in a confined colony of contractile cells. We next study the active self-assembly of nematic patterns from a uniform and quiescent gel using linearized theory and nonlinear simulations. We establish the conditions for nematic bundle formation and how active gel parameters control the architecture, connectivity and dynamics of self-organized patterns of nematic bundles. Finally, using discretenetwork simulations, we substantiate the major requirements for active nematic self-organization according to our theory. We thus provide a framework to understand the emergence and dynamics of mesoscale nematic organizations in actin networks. In part II of the thesis, we develop a general model for active nematic gels on deformable surfaces. Again, Onsager's nonlinear formalism provides a simple method to transparently develop complex models. The resulting system tight couples shape dynamics, nematic dynamics, density dynamics, and interfacial hydrodynamics. We exercise this model to understand the self-organization of the cytokinetic ring using an axisymmetric numerical formulation. Finally, we provide a general 3D computational approach and apply it to an inextensible active liquid crystalline deformable surface. We examine the interplay between the motion of nematic defects and shape.

  • MOHAMMADI, HOSSEIN: Mathematical and computational modeling of geometrically nonlinear electromechanical
    Author: MOHAMMADI, HOSSEIN
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 16/06/2023
    Thesis director: ARIAS VICENTE, IRENE

    Committee:
         PRESIDENT: LATORRE FERRUS, MARCOS
         SECRETARI: RODRIGUEZ FERRAN, ANTONIO
         VOCAL: SHARMA, PRADEEP
    Thesis abstract: The flexoelectric effect, the two-way linear coupling between strain gradient and electric polarization (direct flexoelectricity) or electric field gradient and strain (converse flexoelectricity) universally present in any dielectric, has given rise to a new research area referred to as strain gradient engineering in which in contrast to the conventional wisdom that views strain gradients as undesirable, researchers seek to mobilize strain gradients in a smart way to design sensors, actuators, and energy harvesting devises for next-generation micro/nano electromechanical systems.Ionic crystals with high dielectricity, such as ferroelectric perovskites at their paraelectric phase, achieve the best flexoelectric properties and have thus been a favorite to explore the flexoelectric effect. Nevertheless, large strain gradients are required for the flexoelectric effect to be noticeable. In these materials, large enough strain gradients are only achieved at very small scales. Soft and deformable materials, on the other hand, can endure large strains at larger scales before failure making them suitable candidates for the development of electromechanical devices. The focus of this thesis is two-fold, on the one hand, it explores novel ways to generate electricity in soft materials, including non-piezoelectric dielectric elastomers, under non-homogeneous fields. In particular, surface instabilities in flexoelectric film/ dielectric substrate are explored in depth. On the other hand, the manifestations of flexoelectricity on material behavior, in particular around stress singularities are explored.

  • OKS LEVIS, DAVID: High-performance computing fluid-structure interaction model of bioprosthetic aortic valve replacements
    Author: OKS LEVIS, DAVID
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 17/07/2023
    Thesis director: SAMANIEGO, CRISTOBAL | HOUZEAUX, GUILLAUME PASCAL

    Committee:
         PRESIDENT: ARZAMENDI AIZPURUA, DABIT
         SECRETARI: SOUDAH PRIETO, EDUARDO
         VOCAL: PALMER, MARK
    Thesis abstract: Computational modeling and simulation (CM&S) provides a powerful cost- and time-efficient tool to access detailed mechanistic information of biomedical problems, which is not accessible in either clinical imaging or in vitro bench testing. This enables the efficient testing of medical devices for a wide range of design parameters and working conditions, dictated by patient-specific characteristics such as age, gender, ethnicity, or comorbidities. Furthermore, computational models can be used to simulate not only single patients or bench-test setups but also populations of virtual patients, from either clinical or synthetic databases to obtain informative statistics. These studies, known as in silico clinical trials, can be used to reduce, refine and augment both animal and bench tests. CM&S can thus reduce cost and accelerate the time-to-market of medical devices while improving their safety and efficacy before the first-in-human implantation. In this thesis, a predictive fluid-structure interaction (FSI) computational model of bioprosthetic heart valve replacements was developed to be used in supercomputing environments and applied to problems of biomedical and clinical interest. The end objective is to provide a framework to test and optimize valve prostheses. Given that transcatheter aortic valve replacements (TAVRs) are being implanted in lower-risk and younger patients, long-term effects such as leaflet thrombosis have become a critical concern for patients, doctors, and device manufacturers. This work is focused on predicting the thrombogenic risk and overall hemodynamic performance of bioprosthetic aortic valve replacements. Motivated by minimizing patient-device mismatch, the main questions of interest addressed involve evaluating the effect of multiple geometric and material parameters on prosthesis performance. Some of these parameters include aortic annulus eccentricity, the diameter of the sinotubular junction, coronary alignment, and leaflet rigidity. In this thesis, both in vitro and patient-specific settings were modeled, according to the application of interest. For the model to run in practical computational times, the immersed finite element FSI method developed was designed to meet high-performance computing (HPC) standards. The numerical method was validated against well-known FSI benchmarks, and its performance was analyzed using HPC tools and was deployed in Barcelona Supercomputing Center's in-house multi-physics code, Alya. The model solves the two-way coupling between fluid and solid mechanics, together with fluid-particle dynamics to model the risk of platelet activation. The completeness and efficiency of the tool open an array of possibilities for predicting the performance of devices in patient-specific settings. This thesis hence represents a step towards in silico medicine becoming the gold standard in R&D of novel medical devices, regulatory submissions, and clinical planning.

  • OUZERI, ADAM AMINE: Theory and computation of multiscale epithelial mechanics : from active gels to vertex models
    Author: OUZERI, ADAM AMINE
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: (DECA)
    Mode: Normal
    Reading date: 14/06/2023
    Thesis director: ARROYO BALAGUER, MARINO

    Committee:
         PRESIDENT: JOANNY, JEAN FRANÇOIS
         SECRETARI: SAEZ VIÑAS, PABLO
         VOCAL: FOUCHARD, JONATHAN
    Thesis abstract: Epithelial monolayers perform a variety of mechanical functions, which include maintaining a cohesive barrier or developing 3D shapes, while undergoing stretches over a wide range of magnitudes and loading rates. To perform these functions, they rely on a hierarchical organization, which spans molecules, cytoskeletal networks, adhesion complexes and junctional networks up to the tissue scale. While the molecular understanding and ability to manipulate cytoskeletal components within cells is rapidly increasing, how these components integrate to control tissue mechanics is far less understood, partly due to the disconnect between theoretical models of subcellular dynamics and those at a tissue scale. To fill this gap, here we propose a formalism bridging active-gel models of the actomyosin cortex and 3D vertex-like models at a tissue scale. We show that this unified framework recapitulates a number of seemingly disconnected epithelial time-dependent phenomenologies, including stress relaxation following stretch/unstretch manoeuvres, active flattening after buckling, pulsatile non-affine contractions, curling, or active superelasticity. We further apply the proposed modelling framework to understand and predict the mechanics and reshaping of 3D epithelia in the context of epithelial domes. More specifically, we examine the effect of size, shape and deformation rate on the mechanics of pressurized cell monolayers. We show how the active viscoelasticity of the actomyosin cortex enables the directed folding of rapidly deflating domes into pre-defined buckling patterns. Overall, the proposed framework systematically connects subcellular cortical dynamics and tissue mechanics, and ties a variety of epithelial phenomenologies to a common sub-cellular origin.

  • PARADELA DIAZ, JAIME: Unstable motions in the Three Body Problem
    Author: PARADELA DIAZ, JAIME
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 30/06/2023
    Thesis director: GUARDIA MUNARRIZ, MARCEL | MARTINEZ-SEARA ALONSO, MARIA TERESA

    Committee:
         PRESIDENT: TERRACINI, SUSANNA
         SECRETARI: DELSHAMS I VALDES, AMADEU
         VOCAL: FEJOZ, JACQUES
    Thesis abstract: The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. In the region of the phase space where one body is far from the other two (the primaries for the restricted case) both models can be studied as a nearly integrable Hamiltonian system. This is the so-called hierarchical regime. The present thesis deals with the existence of unstable motions, in the 3BP and/or its restricted versions. More concretely, we analyze the existence of topological instability, non trivial hyperbolic sets and oscillatory motions (complete orbits which are unbounded but return infinitely often to some bounded region). On one hand, the existence of (a strong form of) topological instability in the N Body Problem was coined by Herman to be "the oldest question in dynamical systems". On the other hand, oscillatory motions are the unique type of complete motions for the 3BP which are not present in the integrable approximation. Their connection with the existence of non trivial hyperbolic sets have lead to the formulation of fundamental, yet unsolved, conjectures about their abundance.We establish the existence of Arnold diffusion, a robust mechanism leading to topological instability, in the Restricted 3BP for any value of the masses of the primaries. The transition chain leading to Arnold diffusion is built in the hierarchical region. We extend a previous result by Kaloshin, Delshams, De la Rosa and Seara, which applied to arbitrarily small mass ratio. Their setting, which exploits the trick, used by Arnold in his original paper, of making use of two perturbative parameters, lead to an a priori unstable model. In our setting, we face some of the challenges present in a priori stable systems.We present several results concerning the existence of oscillatory motions and non trivial hyperbolic sets in the restricted and non restricted 3 Body Problem. First, we develop new tools which blend geometric ideas with variational techniques to prove that there exist oscillatory motions in the restricted 3BP in a non nearly integrable regime. Second we show the existence of non trivial hyperbolic sets and oscillatory motions in the 3BP for all values of the masses. The non trivial hyperbolic set, contained in a subset of the hierarchical region where the inner bodies perform approximately circular motions, is associated to a transverse intersection between the stable and unstable manifolds of a Normally Hyperbolic Invariant Manifold. The existence of center directions complicates heavily both the analysis of existence of transverse intersections between these invariant manifolds and the construction of the horseshoe. The contribution of the author focuses on completing the first of these two steps.Finally, we study the existence of Arnold diffusion in the 3BP for all values of the masses. The robustness of the mechanism which we use to prove the existence of Arnold Diffusion in the Restricted 3BP implies that the obtained transition chain admits a continuation in the 3BP if one mass is sufficiently small. The substantial difference when the masses are fixed is that one can construct a transition chain along which there is a significant exchange of momentum between the inner and outer bodies, resulting in a large change of the eccentricity of the inner bodies. This requires considerably more work than in our construction of the transition chain in the Restricted 3BP and our construction of hyperbolic sets for the 3BP. The first step towards establishing this result, which constitutes the subject of the last chapter of this thesis, is the analysis of the so called Melnikov approximation associated to the aforementioned transition chain.

  • URTIAGA ERNETA, IÑIGO: Elliptic problems: regularity of stable solutions and a nonlocal Weierstrass extremal field theory
    Author: URTIAGA ERNETA, IÑIGO
    Thesis file: (contact the Doctoral School to confirm you have a valid doctoral degree and to get the link to the thesis)
    Programme: DOCTORAL DEGREE IN APPLIED MATHEMATICS
    Department: Department of Mathematics (MAT)
    Mode: Normal
    Reading date: 04/07/2023
    Thesis director: CABRE VILAGUT, XAVIER

    Committee:
         PRESIDENT: DE PHILIPPIS, GUIDO
         SECRETARI: SAARI, OLLI
         VOCAL: SERRA MONTOLÍ, JOAQUIM
    Thesis abstract: This PhD dissertation deals with qualitative questions from the theory of elliptic Partial Differential Equations (PDE) and integro-differential equations. We are primarily interested in a distinguished class of solutions satisfying appropriate minimality conditions.The first part of the thesis provides a regularity theory for stable solutions to semilinear problems involving variable coefficients. Here, stability refers to the nonnegativity of the principal eigenvalue of the linearized equation. For variational problems, this amounts to the nonnegativity of the second variation, a necessary condition for minimality. Our main achievement is to show the boundedness of stable solutions in C11 domains in the optimal range of dimensions n < 10. This result is new even for the Laplacian, for which a C3 assumption on the domain was needed.The second part furnishes natural sufficient conditions for the minimality of critical points in a general nonlocal framework. Namely, we construct a calibration for nonlocal energy functionals, under the assumption that the critical point is embedded in a family of sub/supersolutions whose graphs produce a foliation. As a consequence, we deduce that the solution is a minimizer with respect to competitors taking values in the foliated region. Our result extends, for the first time, the classical Weierstrass extremal field theory in the Calculus of Variations to a nonlocal setting. To find a calibration for the most basic fractional functional, the Gagliardo-Sobolev seminorm, was an important open problem that we have solved.

Last update: 30/11/2023 06:01:54.

Theses related publications

AUTHOR:URTIAGA ERNETA, IÑIGO
Title:Elliptic problems: regularity of stable solutions and a nonlocal Weierstrass extremal field theory
Reading date:04/07/2023
Director:CABRE VILAGUT, XAVIER
Mention:No mention
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Subdivided linear and curved meshes preserving features of a linear mesh model
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Title:Mathematical and computational modeling of geometrically nonlinear electromechanical
Reading date:16/06/2023
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Mention:International Mention
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Presentation of work at congresses

Rank of the symmetric approximation matrix in Phylogenetics
Barcelona Mathematical Days
Presentation date: 05/2017
Presentation of work at congresses

Stochasticity conditions for phylogenetic reconstruction
Summer School on Algebra, Statistics and Combinatorics
Presentation date: 06/2016
Presentation of work at congresses

AUTHOR:FELIPE NAVARRO, JUAN CARLOS
Title:Qualitative properties of solutions to integro-differential elliptic problems
Reading date:14/07/2021
Director:CABRE VILAGUT, XAVIER
Mention:International Mention
RELATED PUBLICATIONS
Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation
Felipe-Navarro, J.C.; Sanz, T.
Revista matemática iberoamericana, ISSN: 0213-2230 (JCR Impact Factor-2020: 1.174; Quartil: Q2)
Publication date: 01/01/2020
Journal article

Semilinear integro-differential equations, I: odd solutions with respect to the Simons cone
Felipe-Navarro, J.C.; Sanz, T.
Journal of functional analysis, ISSN: 0022-1236 (JCR Impact Factor-2020: 1.748; Quartil: Q1)
Publication date: 15/01/2020
Journal article

Semilinear integro-differential equations, II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation
Felipe-Navarro, J.C.; Sanz, T.
Mathematics in engineering, ISSN: 2640-3501 (JCR Impact Factor-2021: 1.333; Quartil: Q4)
Publication date: 2021
Journal article

AUTHOR:RODRÍGUEZ DEL RÍO, ÓSCAR
Title:Ejection-collision orbits in the Restricted Three-Body Problem
Reading date:06/07/2021
Director:OLLE TORNER, MERCEDES
Co-director:SOLER VILLANUEVA, JAUME
Mention:No mention
RELATED PUBLICATIONS
Regularisation in ejection-collision orbits of the RTBP
Olle, M.; Rodriguez, O.; Soler, J.
Publication date: 04/2020
Book chapter

Analytical and numerical results on families of n-ejection-collision orbits in the RTBP
Olle, M.; Rodriguez, O.; Soler, J.
Communications in nonlinear science and numerical simulation, ISSN: 1007-5704 (JCR Impact Factor-2020: 4.26; Quartil: Q1)
Publication date: 01/11/2020
Journal article

Transit regions and ejection/collision orbits in the RTBP
Olle, M.; Rodriguez, O.; Soler, J.
Communications in nonlinear science and numerical simulation, ISSN: 1007-5704 (JCR Impact Factor-2021: 4.186; Quartil: Q1)
Publication date: 03/2021
Journal article

Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
Olle, M.; Rodriguez, O.; Soler, J.
Communications in nonlinear science and numerical simulation, ISSN: 1007-5704 (JCR Impact Factor-2021: 4.186; Quartil: Q1)
Publication date: 08/2022
Journal article

Ejection-collision orbits in the RTBP
Recent Trends in Nonlinear Science 2011
Presentation date: 23/01/2019
Presentation of work at congresses

Ejection-collision orbits in the restricted three body problem
Equadiff 2019
Presentation date: 10/07/2019
Presentation of work at congresses

AUTHOR:CARDONA I AGUILAR, ROBERT
Title:The geometry and topology of steady Euler flows, integrability and singular geometric structures
Reading date:26/05/2021
Director:MIRANDA GALCERÁN, EVA
Award:
Mention:International Mention
RELATED PUBLICATIONS
Reeb embeddings and universality of Euler flows
Springer
Publication date: 2021
Book chapter

On the volume elements of a manifold with transverse zeroes
Miranda, E.; Cardona i, R.
Regular and chaotic dynamics, ISSN: 1560-3547 (JCR Impact Factor-2019: 1.285; Quartil: Q2)
Publication date: 2019
Journal article

Euler flows and singular geometric structures
Miranda, E.; Cardona i, R.; Peralta-Salas, D.
Philosophical transactions of the Royal Society A. Mathematical physical and engineering sciences, ISSN: 1364-503X (JCR Impact Factor-2019: 3.275; Quartil: Q2)
Publication date: 2019
Journal article

Steady Euler flows and Beltrami fields in high dimensions
Cardona i, R.
Ergodic theory and dynamical systems, ISSN: 0143-3857 (JCR Impact Factor-2020: 1.202; Quartil: Q2)
Publication date: 07/12/2020
Journal article

Constructing Turing complete Euler flows in dimension 3
Cardona i, R.; Miranda, E.; Peralta, Daniel; Presas, F.
Proceedings of the National Academy of Sciences of the United States of America, ISSN: 1091-6490 (JCR Impact Factor-2021: 12.779; Quartil: Q1)
Publication date: 11/05/2021
Journal article

The periodic orbit conjecture for steady Euler flows
Cardona i, R.
Qualitative theory of dynamical systems, ISSN: 1575-5460 (JCR Impact Factor-2021: 0.931; Quartil: Q3)
Publication date: 01/07/2021
Journal article

Turing universality of the incompressible Euler equations and a conjecture of Moore
Cardona i, R.; Miranda, E.; Peralta-Salas, D.
International mathematics research notices, ISSN: 1073-7928 (JCR Impact Factor-2021: 1.53; Quartil: Q1)
Publication date: 24/08/2021
Journal article

Integrable systems on singular symplectic manifolds: from local to global
Cardona i, R.; Miranda, E.
International mathematics research notices, ISSN: 1073-7928 (JCR Impact Factor-2021: 1.53; Quartil: Q1)
Publication date: 22/09/2021
Journal article

AUTHOR:ROCA LACOSTENA, JORDI
Title:The embedding problem for Markov matrices
Reading date:18/05/2021
Director:FERNANDEZ SANCHEZ, JESUS
Co-director:CASANELLAS RIUS, MARTA
Mention:No mention
RELATED PUBLICATIONS
Embeddability and rate identifiability of Kimura 2-parameter matrices
Casanellas, M.; Fernández-Sánchez, J.; Roca, J.
Journal of mathematical biology, ISSN: 0303-6812 (JCR Impact Factor-2020: 2.259; Quartil: Q2)
Publication date: 01/03/2020
Journal article

An open set of 4×4 embeddable matrices whose principal logarithm is not a Markov generator
Casanellas, M.; Fernández-Sánchez, J.; Roca, J.
Linear and multilinear algebra, ISSN: 0308-1087 (JCR Impact Factor-2020: 1.736; Quartil: Q1)
Publication date: 17/12/2020
Journal article

AUTHOR:TOZZI, CATERINA
Title:A theoretical and computational study of the interaction between biomembranes and curved proteins
Reading date:30/04/2021
Director:ARROYO BALAGUER, MARINO
Mention:No mention
RELATED PUBLICATIONS
Out-of-equilibrium mechanochemistry and self-organization of fluid membranes interacting with curved proteins
Tozzi, C.; Walani, N.; Arroyo, M.
New journal of physics, ISSN: 1367-2630 (JCR Impact Factor-2019: 3.539; Quartil: Q1)
Publication date: 04/09/2019
Journal article

A theory of ordering of elongated and curved proteins on membranes driven by density and curvature
Tozzi, C.; Walani, N.; Le Roux, A.; Roca-cusachs Solere, Pere; Arroyo, M.
Soft matter, ISSN: 1744-683X (JCR Impact Factor-2021: 4.046; Quartil: Q2)
Publication date: 02/02/2021
Journal article

AUTHOR:PORRO MARTORELL, OLGA
Title: A Hesitant Fuzzy Perceptual-Based Approach to Model Linguistic Assessments
Reading date:07/04/2021
Director:SANCHEZ SOLER, MONICA
Co-director:AGELL JANÉ, NÚRIA
Mention:No mention
RELATED PUBLICATIONS
Understanding location decisions of energy multinational enterprises within the European smart cities’ context: An integrated AHP and extended fuzzy linguistic TOPSIS method
Porro, O.; Pardo-Bosch, F.; Agell, N.; Sanchez, M.
Energies, ISSN: 1996-1073 (JCR Impact Factor-2020: 3.004; Quartil: Q3)
Publication date: 12/05/2020
Journal article

An ensemble learning solution for predicitive manintenance of wind turbines main bearing
Beretta, M.; Julian, A.; Sepúlveda, J.; Cusido, J.; Porro, O.
Sensors (Basel), ISSN: 1424-8220 (JCR Impact Factor-2021: 3.847; Quartil: Q2)
Publication date: 02/2021
Journal article

Improved ensemble learning for wind turbine main bearing fault diagnosis
Beretta, M.; Vidal, Y.; Sepúlveda, J.; Porro, O.; Cusido, J.
Applied sciences (Basel), ISSN: 2076-3417 (JCR Impact Factor-2021: 2.838; Quartil: Q2)
Publication date: 17/08/2021
Journal article

A multi-attribute group decision model based on unbalanced and multi-granular linguistic information: an application to assess entrepreneurial competencies in secondary schools
Porro, O.; Agell, N.; Sanchez, M.; Ruiz, F.
Applied soft computing, ISSN: 1568-4946 (JCR Impact Factor-2021: 8.263; Quartil: Q1)
Publication date: 01/11/2021
Journal article

A location decision problem based on AHP: Strategic priorities of European energy companies
Meeting of the European Working Group in Multi Criteria Decision Aiding
Presentation date: 11/04/2019
Presentation of work at congresses

A fuzzy decision-aiding approach to implement sustainable marine itineraries
22nd International Conference of the Catalan Association for Artificial Intelligence
Presentation date: 24/10/2019
Presentation of work at congresses

Perceptual maps to aggregate information from decision makers
23é Congrés Internacional de l’Associació Catalana d’Intel·ligència Artificial
Presentation date: 22/10/2021
Presentation of work at congresses

AUTHOR:CODONY GISBERT, DAVID
Title:Mathematical and computational modeling of flexoelectricity at mesoscopic and atomistic scales
Reading date:01/03/2021
Director:ARIAS VICENTE, IRENE
Mention:International Mention
RELATED PUBLICATIONS
Lattice structure with piezoelectric behavior, a force or movement sensor and an actuator containing said lattice structure
Universitat Politècnica de Catalunya
Registration date: 12/02/2020
Patent

An immersed boundary hierarchical B-spline method for flexoelectricity
Codony, D.; Marco, O.; Fernandez, S.; Arias, I.
Computer methods in applied mechanics and engineering, ISSN: 0045-7825 (JCR Impact Factor-2019: 5.763; Quartil: Q1)
Publication date: 01/09/2019
Journal article

A Cº interior penalty method for 4th order PDEs
Fojo, Dani; Codony, D.; Fernandez, S.
Reports@SCM, ISSN: 2385-4227
Publication date: 01/12/2020
Journal article

Modeling flexoelectricity in soft dielectrics at finite deformation
Codony, D.; Gupta, P.; Marco, O.; Arias, I.
Journal of the mechanics and physics of solids, ISSN: 0022-5096 (JCR Impact Factor-2021: 5.582; Quartil: Q1)
Publication date: 01/2021
Journal article

Flexoelectricity in atomic monolayers from first principles
Kumar, S.; Codony, D.; Arias, I.; Suryanarayana, P.
Nanoscale, ISSN: 2040-3364 (JCR Impact Factor-2021: 8.307; Quartil: Q1)
Publication date: 2021
Journal article

Transversal flexoelectric coefficient for nanostructures at finite deformations from first principles
Codony, D.; Arias, I.; Suryanarayana, P.
Physical review materials, ISSN: 2475-9953 (JCR Impact Factor-2021: 3.98; Quartil: Q2)
Publication date: 08/03/2021
Journal article

Geometrically polarized architected dielectrics with apparent piezoelectricity
Mocci, A.; Barcelo, J.; Codony, D.; Arias, I.
Journal of the mechanics and physics of solids, ISSN: 0022-5096 (JCR Impact Factor-2021: 5.582; Quartil: Q1)
Publication date: 12/2021
Journal article

Weak enforcement of interface continuity and generalized periodicity in high-order electromechanical problems
Barcelo, J.; Codony, D.; Fernandez, S.; Arias, I.
International journal for numerical methods in engineering, ISSN: 0029-5981 (JCR Impact Factor-2019: 5.5
Publication date: 28/02/2022
Journal article

Immersed boundary hierarchical B-spline method for the numerical simulation of nano-scale electromechanical transduction
13th World Congress on Computational Mechanics
Presentation date: 25/07/2018
Presentation of work at congresses

Numerical solution of straingradient elasticity based on an immersed boundary B-spline framework
16th European Mechanics of Materials Conference (EMMC16)
Presentation date: 27/03/2018
Presentation of work at congresses

Numerical solution of the flexo- electric coupling based on an immersed boundary B-spline framework
10th European Solid Mechanics Conference (ESMC2018)
Presentation date: 04/07/2018
Presentation of work at congresses

An immersed boundary hierarchical B-spline-based computational approach for nano-scale electromechanics
55th Technical Meeting of the Society of Engineering Science (SES2018).
Presentation date: 11/10/2018
Presentation of work at congresses

Unfitted Bspline- based computational approach for non-local continuum mechanics: application to hard and soft flexoelectric materials and composites.
56th Technical Meeting of the Society of Engineering Science (SES2019)
Presentation date: 14/10/2019
Presentation of work at congresses

AUTHOR:LATORRE IBARS, ERNEST
Title:ACTIVE SUPERELASTICITY IN THREE-DIMENSIONAL EPITHELIA OF CONTROLLED SHAPE
Reading date:19/02/2021
Director:ARROYO BALAGUER, MARINO
Co-director:TREPAT GUIXER, XAVIER
Mention:No mention
RELATED PUBLICATIONS
Measuring mechanical stress in living tissues
Gómez, M.; Latorre, E.; Arroyo, M.; Trepat, X.
Nature Reviews Physics, ISSN: 2522-5820 (JCR Impact Factor-2020: 31.068; Quartil: Q1)
Publication date: 01/01/2020
Journal article

Addendum: active superelasticity in three-dimensional epithelia of controlled shape
Latorre, E.; Kale, S.; Casares, L.; Gómez, M.; Uroz, M.; Valon, L.; Nair, R.; Garreta, E.; Montserrat, N.; del Campo, A.; Ladoux, B.; Arroyo, M.; Trepat, X.
Nature, ISSN: 0028-0836 (JCR Impact Factor-2021: 69.504; Quartil: Q1)
Publication date: 12/04/2021
Journal article

AUTHOR:RIVERO SALGADO, ÓSCAR
Title:Arithmetic applications of the Euler systems of Beilinson-Flach elements and diagonal cycles
Reading date:12/02/2021
Director:ROTGER CERDÀ, VICTOR
Award:
Mention:International Mention
RELATED PUBLICATIONS
The Euler system of Beilinson--Flach elements
One day workshop on modular forms, Euler systems and p-adic L-functions
Presentation date: 22/11/2017
Presentation of work at congresses

Towards the rationality of Darmon--Dasgupta units
Seminari de Teoria de Nombres de Barcelona
Presentation date: 23/01/2018
Presentation of work at congresses

On the exceptional specializations of Big Heegner points
Seminari de Teoria de Nombres de Barcelona
Presentation date: 26/01/2018
Presentation of work at congresses

Iwasawa theory and Euler systems: the case of diagonal cycles
Seminari de Teoria de Nombres (UB-UAB-UPC)
Presentation date: 21/01/2019
Presentation of work at congresses

A Gross--Zagier trace formula for product of theta series
Seminari de Teoria de Nombres de Barcelona
Presentation date: 24/01/2019
Presentation of work at congresses

The Euler system of Beilinson--Flach elements and Gross--Stark units
p-adic modular forms
Presentation date: 08/07/2019
Presentation of work at congresses

The arithmetic of the adjoint of a weight one modular form
Automorphic p-adic L-functions and regulators
Presentation date: 14/10/2019
Presentation of work at congresses

Exceptional zeros, p-adic L-functions and Euler systems
Seminari de Teoria de Nombres de Barcelona
Presentation date: 04/02/2020
Presentation of work at congresses

AUTHOR:VILA PÉREZ, JORDI
Title:Low and high-order hybridised methods for compressible flows
Reading date:10/02/2021
Director:HUERTA CEREZUELA, ANTONIO
Co-director:GIACOMINI, MATTEO
Mention:International Mention
RELATED PUBLICATIONS
Hybridisable discontinuous Galerkin formulation of compressible flows
Vila-Pérez, J.; Giacomini, M.; Sevilla, R.; Huerta, A.
Archives of computational methods in engineering, ISSN: 1134-3060 (JCR Impact Factor-2021: 8.171; Quartil: Q1)
Publication date: 2021
Journal article

A face-centred finite volume method for the Euler equations
NMASE 2018- 13th Workshop on Numerical Methods in Applied Sciences and Engineering
Presentation date: 01/2018
Presentation of work at congresses

HLL-type Riemann solvers for hybridisable discontinuous Galerkin
14th World Congress in Computational Mechanics and 8th European Congress on Computational Methods in Applied Sciences and Engineering
Presentation date: 01/2021
Presentation of work at congresses

AUTHOR:AGIS CHERTA, DAVID
Title:Desarrollo de un sistema de monitorización de la integridad estructural para aplicaciones en ingeniería mediante técnicas de reducción de la dimensionalidad
Reading date:21/12/2020
Director:POZO MONTERO, FRANCESC
Mention:No mention
RELATED PUBLICATIONS
Damage diagnosis for offshore fixed wind turbines
Agis, D.; Vidal, Y.; Pozo, F.
Renewable energy and power quality journal, ISSN: 2172-038X (JCR Impact Factor-2019: 0.147; Quartil: Q4)
Publication date: 01/07/2019
Journal article

A frequency-based approach for the detection and classification of structural changes using t-SNE
Agis, D.; Pozo, F.
Sensors (Basel), ISSN: 1424-8220 (JCR Impact Factor-2019: 3.275; Quartil: Q1)
Publication date: 21/11/2019
Journal article

Damage identification in structural health monitoring: a brief review from its implementation to the Use of data-driven applications
Tibaduiza, Diego Alexander; Gomez, R.; Pedraza, C.; Agis, D.; Pozo, F.
Sensors (Basel), ISSN: 1424-8220 (JCR Impact Factor-2020: 3.576; Quartil: Q1)
Publication date: 29/01/2020
Journal article

Vibration-based detection and classification of structural changes using principal component analysis and t-distributed stochastic neighbor embedding
Agis, D.; Tibaduiza, Diego Alexander; Pozo, F.
Structural control and health monitoring, ISSN: 1545-2263 (JCR Impact Factor-2020: 4.819; Quartil: Q1)
Publication date: 05/03/2020
Journal article

Vibration-Based structural health monitoring using piezoelectric transducers and parametric t-SNE
Agis, D.; Pozo, F.
Sensors (Basel), ISSN: 1424-8220 (JCR Impact Factor-2020: 3.576; Quartil: Q1)
Publication date: 19/03/2020
Journal article

Detection and classification of structural changes using t-distributed stochastic neighbor embedding
International Conference on Structural Engineering Dynamics
Presentation date: 24/06/2019
Presentation of work at congresses

AUTHOR:DOMENECH BLAZQUEZ, MARGARITA
Title:Estudio y caracterización de soluciones para juegos cooperativos y bicooperativos
Reading date:24/11/2020
Director:PUENTE DEL CAMPO, MARIA ALBINA
Co-director:GIMENEZ PRADALES, JOSE MIGUEL
Mention:No mention
RELATED PUBLICATIONS
Some properties for probabilistic and multinomial (probabilistic) values on cooperative games
Domenech, M.; Gimenez, J.; Puente, M.
Optimization, ISSN: 0233-1934 (JCR Impact Factor-2016: 0.943; Quartil: Q2)
Publication date: 18/02/2016
Journal article

Semivalues: weighting coefficients and allocations on unanimity games
Domenech, M.; Gimenez, J.; Puente, M.
Optimization letters, ISSN: 1862-4472 (JCR Impact Factor-2017: 1.013; Quartil: Q2)
Publication date: 12/12/2017
Journal article

Bisemivalues for bicooperative games
Domenech, M.; Gimenez, J.; Puente, M.
Optimization, ISSN: 0233-1934 (JCR Impact Factor-2018: 1.206; Quartil: Q2)
Publication date: 04/02/2018
Journal article

Some properties for bisemivalues on bicooperative games
Domenech, M.; Gimenez, J.; Puente, M.
Journal of optimization theory and applications, ISSN: 0022-3239 (JCR Impact Factor-2020: 2.249; Quartil: Q1)
Publication date: 29/02/2020
Journal article

Study and characterization of the multinomial values
XII Congreso Galego de Estatística e Investigación de Operacións
Presentation date: 22/10/2015
Presentation of work at congresses

A n-parametric family of probabilistic values for cooperat ive games with n players
XXXVI Congreso Nacional de Estadística e Investigación Operativa y de las X Jornadas de Estadística Pública
Presentation date: 07/09/2016
Presentation of work at congresses

Multilinear extension of a bicooperative game. A computational method to calculate bisemivalues
XXXVI Congreso Nacional de Estadística e Investigación Operativa y de las X Jornadas de Estadística Pública
Presentation date: 06/09/2016
Presentation of work at congresses

Bisemivalues and binomial bisemivalues: study and characteritzation
XXXVI Congreso Nacional de Estadística e Investigación Operativa y de las X Jornadas de Estadística Pública
Presentation date: 07/09/2016
Presentation of work at congresses

The (p,q)-bisemivalues on bicooperative games
XXXVII Congreso Nacional de Estadística e Investigación Operativa
Presentation date: 30/05/2018
Presentation of work at congresses

Bisemivalores en juegos bicooperativos: estudio de algunas propiedades
XXXVII Congreso Nacional de Estadística e Investigación Operativa
Presentation date: 30/05/2018
Presentation of work at congresses

A dynamic axiomatization for the semivalues on classic cooperative games
XXXVII Congreso Nacional de Estadística e Investigación Operativa
Presentation date: 30/05/2018
Presentation of work at congresses

A method to calculate the (p,q)-bisemivalues
30th European Conference on Operational Research
Presentation date: 24/06/2019
Presentation of work at congresses

Estudio de propiedades complementarias para valores probabilísticos en juegos cooperativos
XXXVIII Congreso Nacional de Estadística e Investigación Operativa
Presentation date: 06/09/2019
Presentation of work at congresses

AUTHOR:OMS, CEDRIC
Title:Global Hamiltonian Dynamics on Singular Symplectic Manifolds
Reading date:02/10/2020
Director:MIRANDA GALCERÁN, EVA
Mention:International Mention
RELATED PUBLICATIONS
On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields
Miranda, E.; Oms, C.; Peralta-Salas, D.
Communications in contemporary mathematics, ISSN: 0219-1997 (JCR Impact Factor-2021: 1.708; Quartil: Q1)
Publication date: 01/07/2021
Journal article

The singular Weinstein conjecture
Miranda, E.; Oms, C.
Advances in mathematics, ISSN: 0001-8708 (JCR Impact Factor-2021: 1.675; Quartil: Q1)
Publication date: 23/07/2021
Journal article

AUTHOR:MUIXÍ BALLONGA, ALBA
Title:Locally adaptive phase-field models and transition to fracture
Reading date:30/09/2020
Director:FERNANDEZ MENDEZ, SONIA
Co-director:RODRIGUEZ FERRAN, ANTONIO
Mention:No mention
RELATED PUBLICATIONS
Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method
Muixí, A.; Fernandez, S.; Rodriguez-Ferran, A.
Computational mechanics, ISSN: 0178-7675 (JCR Impact Factor-2020: 4.014; Quartil: Q1)
Publication date: 18/03/2020
Journal article

A hybridizable discontinuous Galerkin phase-field model for brittle fracture with adaptive refinement
Muixí, A.; Rodriguez-Ferran, A.; Fernandez, S.
International journal for numerical methods in engineering, ISSN: 0029-5981 (JCR Impact Factor-2020: 3.477; Quartil: Q1)
Publication date: 30/03/2020
Journal article

A combined XFEM phase-field computational model for crack growth without remeshing
Muixí, A.; Marco, O.; Rodriguez-Ferran, A.; Fernandez, S.
Computational mechanics, ISSN: 0178-7675 (JCR Impact Factor-2021: 4.391; Quartil: Q1)
Publication date: 01/01/2021
Journal article

AUTHOR:SPIEGEL, CHRISTOPH STEFAN
Title:Additive Structures and Randomness in Combinatorics
Reading date:03/07/2020
Director:RUE PERNA, JUAN JOSÉ
Co-director:SERRA ALBO, ORIOL
Mention:International Mention
RELATED PUBLICATIONS
On a problem of Sárközy and Sós for multivariate linear forms
Rue, J.; Spiegel, C.
Revista matemática iberoamericana, ISSN: 0213-2230 (JCR Impact Factor-2020: 1.174; Quartil: Q2)
Publication date: 18/03/2020
Journal article

On strong infinite Sidon and Bh sets and random sets of integers
Journal of combinatorial theory. Series A, ISSN: 0097-3165 (JCR Impact Factor-2021: 1.263; Quartil: Q2)
Publication date: 01/08/2021
Journal article

AUTHOR:BLANCO FERNÁNDEZ, GUILLEM
Title:Bernstein-Sato polynomial of plane curves and Yano's conjecture
Reading date:16/04/2020
Director:ALBERICH CARRAMIÑANA, MARIA
Co-director:ALVAREZ MONTANER, JOSEP
Mention:No mention
RELATED PUBLICATIONS
Extended abstracts GEOMVAP 2019
Alberich, M.; Blanco, G.; Galvez, M.; Garrote-Lopez, M.; Miranda, E.
Springer
Publication date: 2021
Book

Monomial generators of complete planar ideals
Alberich, M.; Alvarez, J.; Blanco, G.
Journal of algebra and its applications, ISSN: 0219-4988 (JCR Impact Factor-2020: 0.736; Quartil: Q3)
Publication date: 01/01/2020
Journal article

The minimal tjurina number of irreducible germs of plane curve singularities
Alberich, M.; Almirón, P.; Blanco, G.; Melle, A.
Indiana University mathematics journal, ISSN: 0022-2518 (JCR Impact Factor-2021: 1.059; Quartil: Q2)
Publication date: 01/01/2021
Journal article

AUTHOR:ROY, MALLIKA
Title:Algebraic and algorithmic aspects of Zm × Fn : fixed subgroups and quantification of inertia
Reading date:12/02/2020
Director:VENTURA CAPELL, ENRIC
Mention:No mention
RELATED PUBLICATIONS
Degrees of compression and inertia for free-abelian times free groups
Roy, M.; Ventura, E.
Journal of Algebra, ISSN: 1090-266X (JCR Impact Factor-2021: 0.908; Quartil: Q3)
Publication date: 15/02/2021
Journal article

AUTHOR:CALVO SCHWARZWÄLDER, MARC
Title:Non-classical thermal transport and phase change at the nanoscale
Reading date:12/07/2019
Director:MYERS, TIMOTHY
Co-director:ALVAREZ CALAFELL, FRANCESC XAVIER
Mention:International Mention
RELATED PUBLICATIONS
The Stefan problem with variable thermophysical properties and phase change temperature
Myers, T.; Hennessy, M.; Calvo, M.
International journal of heat and mass transfer, ISSN: 0017-9310 (JCR Impact Factor-2020: 5.584; Quartil: Q1)
Publication date: 01/03/2020
Journal article

The one-dimensional Stefan problem with non-Fourier heat conduction
Calvo, M.; Myers, T.; Hennessy, M.
International journal of thermal sciences, ISSN: 1290-0729 (JCR Impact Factor-2020: 3.744; Quartil: Q1)
Publication date: 01/04/2020
Journal article

AUTHOR:KLYMCHUK, TETIANA
Title:Stratification theory of matrix pairs under equivalence and contragredient equivalence
Reading date:21/06/2019
Director:GARCIA PLANAS, MARIA ISABEL
Mention:No mention
RELATED PUBLICATIONS
Structural stability of matrix pencils and matrix pairs under contragredient equivalence
Garcia-Planas, M.I.; Klymchuk, T.
Ukrainian Mathematical Journal, ISSN: 0041-5995 (JCR Impact Factor-2019: 0.518; Quartil: Q4)
Publication date: 01/01/2019
Journal article

Differentiable families of traceless matrix triples
Garcia-Planas, M.I.; Klymchuk, T.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN: 1579-1505 (JCR Impact Factor-2019: 0.617; Quartil: Q2)
Publication date: 06/12/2019
Journal article

Operators on positive semidefinite inner product spaces
Bovdi, V.; Klymchuk, T.; Rybalkina, T.; Salim, M.; Sergeichuk, V.
Linear algebra and its applications, ISSN: 0024-3795 (JCR Impact Factor-2020: 1.401; Quartil: Q2)
Publication date: 01/07/2020
Journal article

AUTHOR:PÉREZ CERVERA, ALBERTO
Title:On the role of oscillatory dynamics in neural communication
Reading date:04/04/2019
Director:HUGUET CASADES, GEMMA
Co-director:MARTINEZ-SEARA ALONSO, MARIA TERESA
Mention:International Mention
RELATED PUBLICATIONS
Global phase-amplitude description of oscillatory dynamics via the parameterization method
Perez, A.; Martinez-seara, M.; Huguet, G.
Chaos (Woodbury, N.Y.), ISSN: 1054-1500 (JCR Impact Factor-2020: 3.642; Quartil: Q1)
Publication date: 01/08/2020
Journal article

Research projects

START DATEEND DATEACTIVITYFINANCING ENTITY
23/05/202331/12/2024Ajuts als grups de recerca AGRUPS 2023Universitat Politècnica de Catalunya
01/01/202331/12/2025Xarxa R+D+I en Tecnologies de la Salut (Xartec Salut)AGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/01/202330/06/2023Donació pel 39th European Workshop Comput. GeometryOMRON ELECTRONICS IBERIA SA
01/01/202331/12/2025Xarxa d’Innovació de Noves Tecnologies en Salut MentalAGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/01/202331/12/2025HUB D'INNOVACIÓ PEDIÀTRICAFondo Europeo de Desarrollo Regional
01/12/202230/11/2024Gemelos digitales para la monitorización de la condición de aerogeneradores.AGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Estabilidad en microrredes multi-energía con vectores de electricidad, hidrógeno y gasAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Gestión Eficiente de Sistemas Energéticos incluyendo Almacenamiento de Energía Electroquímico Híbrido mediante Técnicas de DigitalizaciónAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Simulación y visualización de la Erosión y la Degradación Natural debida a actividades AntropogénicasAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Gemelo digital de alta precisión habilitado por computador de altas prestaciones para aplicaciones de sistema eléctrico modernasAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Diseño basado en datos para la optimización de baterías en automociónAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Sistema computacional para el diagnóstico de leucemias agudas y linfomas usando imágenes de células de la sangre: prueba de concepto y plan de valorización tecnológicaAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Computational System for the Diagnosis of Acute Leukemia and Lymphoma from Peripheral Blood Images: Proof of Concept and Roadmap for Technological ValorizationMinisteria de Ciencia e innovación
01/09/202231/08/2025Simulación in silico de la respuesta inmune del sistema glioblastoma-cerebroAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Modelado neuromusculoesquelético y simulación de la recuperación de la función motora mediante rehabilitación robótica de la marchaAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Artificial Intelligence for Wind Turbine Condition Monitoring and Structural Health Monitoring.AGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Eliminando barreras técnicas en redes con alta penetración de renovables y electrónica de potencia mediante dispositivos STATCOM y enlaces HVDC basados en grid-formingAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Métodos Geométricos en Teoría de GruposAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Entornos 3D de alta fidelidad para Realidad Virtual y Computación Visual: geometría, movimiento, interacción y visualización para salud, arquitectura y ciudadesAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Métodos Modernos en Mecánica Celeste y AplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Invariant Manifolds, Hamiltonian systems and dynamics in Neuroscience, Epidemiology and AtmosphereAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Métodos Geométricos en Mecánica y Teoría de CamposAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Estabilidad de microrredes formadas por agrupaciones de clustersAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Ecuaciones en Derivadas Parciales: problemas de reacción-difusión, integro-diferenciales, y de la física matemáticaAGENCIA ESTATAL DE INVESTIGACION
01/07/202230/06/2025Computational, dynamical and geometrical complexity in fluid dynamics.FUNDACIÓN BBVA
01/07/202230/06/2025Securing tailings dam infrastructure with an innovative monitoring SystemEUROPEAN INST OF INNOV.& TECHNOL.
24/05/202231/12/2023Ajuts als grups de recerca AGRUPS 2022Universitat Politècnica de Catalunya
17/03/202217/03/2022Coda4Microbiome
04/03/202203/03/2024Intermediate filament networks: form biological function to biommetic material resilienceAGENCIA ESTATAL DE INVESTIGACION
01/01/202231/12/2025Hpc EuRopean ConsortiUm Leading Education activitieSEUROPEAN COMMISSION
01/01/202231/12/2025MarÍa de Maeztu Program for Centers and Units of Excellence in R&D (proyecto CEX2020-001084-M).Agencia Estatal de Investigación
01/01/202231/12/2026ICREA ACADEMIA 2021Institució Catalana de Recerca i Estudis Avançats (ICREA)
01/01/202231/12/2024Estimación y control en baterias de flujo redox de VanadioAGENCIA ESTATAL DE INVESTIGACION
01/01/202231/12/2025Centre de Recerca MatemàticaMinisterio de Ciencia e Innovación
01/01/202231/12/2024Geometria de Varietats i AplicacionsAgència de Gestió d'Ajuts Universitaris i de Recerca (Agaur)
01/01/202231/12/2025María de Maeztu Award for Centers and Units of Excellence in R&DAgencia Estatal de Investigación
01/12/202130/11/2023BIBLIOTECA CREIBLE DE RUTINAS FUNDAMENTALES E INTERFACES PARA LA INDUSTRIAMinisterio de Ciencia e Innovación
01/12/202130/11/2023Biblioteca creíble de rutinas fundamentales e interfaces para la industriaAGENCIA ESTATAL DE INVESTIGACION
01/10/202130/09/2024Programa de Becas de doctorado INPHiNIT/'La Caixa/' en Universidades y Centros de Investigación españoles y portuguesesFUNDACIO LA CAIXA
01/09/202131/01/2022Desarrollo de técnicas no invasivas para el diagnóstico de la salud estructural de los hornos FC-150 y FC-01 de la empresa Cerro Matoso SACerro Matoso SA
01/09/202131/08/2024Combinatoria: nuevas tendencias y aplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/09/202131/08/2025Dinámica de sistemas celulares contráctiles guiada por adhesión intercel·lularAGENCIA ESTATAL DE INVESTIGACION
01/09/202131/08/2024Ingeniería computacional basada en simulación de aprendizaje automáticoAGENCIA ESTATAL DE INVESTIGACION
01/09/202131/08/2024Scientific Machine Learning for computational Engineering: machine learning for data-driven modelingAgencia Estatal de Investigación
01/07/202131/12/2022Collaboration contract relating to data-driven modelsSHAOXING UNIVERSITY
17/06/202117/06/2021hiperlife
23/05/202123/05/2021Morphable sheet structure.
01/05/202130/04/2026Ayuda adicional RyC2019-026784-I para la ejecución de actividades de investigaciónAGENCIA ESTATAL DE INVESTIGACION
01/03/202130/11/2021Exploración de daños en las paredes de un horno de fundición de ferroníquel líneas 1 y 2 de Cerro MatosoUniversidad Santo Tomás
01/01/202130/04/2026Randomness and learning in networksCommission of European Communities
01/12/202031/12/2024Ampliació del contracte de col·laboració en R+D amb CIMNECENTRE INTERNACIONAL DE METODES NUM
01/11/202030/11/2022Formación Doctoral en Mecanobiológía y BioingnieríaAGENCIA ESTATAL DE INVESTIGACION
15/08/202031/12/2022Xarxa R+D+I en Tecnologies de la Salut (XarTEC SALUT)AGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/07/202031/12/2022Xarxa Fourth Industrial RevolutionAGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/07/202031/12/2022Red de Innovación de Nuevas Tecnologías en Salud Mental (TECSAM)Fondos FEDER
01/06/202029/02/2024Conexión entre la bio-quemo-mecánica subcelular y la dinámica activa de materiales epiteliales mediante modelización y computación multiescalaAGENCIA ESTATAL DE INVESTIGACION
01/06/202031/05/2024Geometría, Álgebra, Topología y Aplicaciones MultidisciplinaresAGENCIA ESTATAL DE INVESTIGACION
01/06/202031/05/2024Teoría y aplicaciones de configuraciones de puntos y redesAGENCIA ESTATAL DE INVESTIGACION
01/06/202029/02/2024Criptografía para retos digitales emergentes: escenarios multi-usuario y seguridad post-cuánticaAGENCIA ESTATAL DE INVESTIGACION
01/06/202030/11/2023Hematopatología computacional: soluciones de aprendizaje profundo para el diagnóstico de enfermedades hematológicas a partir de imágenes de células de sangre periférica.AGENCIA ESTATAL DE INVESTIGACION
01/06/202031/05/2024Juegos de votación y cooperación con aplicaciones a las redes sociales y a las ciencias políticasAGENCIA ESTATAL DE INVESTIGACION
01/06/202031/05/2023Hematología computacional: soluciones de aprendizaje profundo para el diagnóstico de enfermedades hematológicas a partir de imágenes de células de sangre periférica (CellsiMaticDeep)Ministerio de Ciencia e Innovación
06/03/202006/03/2022Estudio comparativo de tecnologías y soluciones en aprendizaje profundo (deep learning) para el diagnóstico de averías en aerogeneradores.ITESTIT,S.L.
03/03/202031/12/2022Hub d'Innovació PediàtricaFondos FEDER
01/03/202031/12/2022Centre de Recerca i Transferència en Salut Mental (CRETSAM)Fondos FEDER
01/03/202030/11/2020Diseño de un sistema para la localización de daños en estructuras metálicas y de material compuesto expuestas a cambios de temperatura (Etapa II)Universidad Santo Tomás
12/02/202012/02/2020Lattice structure with piezoelectric behavior, a force or movement sensor and an actuator containing said lattice structure
01/01/202031/12/2022Red de ecuaciones en derivadas parciales no locales y aplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/01/202031/12/2021Integración de energías renovables mediante sistemas de corriente continua de media tensiónAgencia Estatal de Investigación
01/01/202031/12/2021Red Temática de Cálculo Simbólico, Algebra computacional y AplicacionesMinisterio de Ciencia, Innovación y Universidades
27/12/201927/09/2021Hydrogen lab for the modernisation and technological transformation of the city of BarcelonaINSTITUT DE CULTURA DE BARCELONA
04/11/201930/10/2020Internacionalització de la web educativa corresponent al projecte docent Numerical Factory (https://numfactory.upc.edu). Elaboració de nous materials desenvolupats amb les eines de Matlab.The Marthworks Inc
01/09/201931/01/2020Bernstein-Sato polynomials and related invariantsMINISTERIO DE CIENCIA, INNOVACIÓN Y UNIVERSIDADES
01/09/201901/09/2021Diagnostic methods by means of images and machine learningSIEMENS HEALTHCARE DIAGNOSTICS, S.L
01/07/201930/06/2021Red Temática de Cálculo Simbólico, Álgebra Computacional y AplicacionesMinisterio de Ciencia e Innovación
01/07/201930/06/2021Red de Geometria Algebraica y SingularidadesMinisterio de Ciencia e Innovación
01/06/201931/05/2020Guiado mecánico de la migración celularAGENCIA ESTATAL DE INVESTIGACION
20/05/201931/12/2019Informe per validar les especificacions d'un protocol de votació electrònica.SCYTL Secure Electronic Voting S.A.
06/05/201930/11/2022A computational tool to elucidate the mechanobiological regulation of limb developmentCommission of European Communities
01/03/201930/11/2019Diseño de un sistema para la localización de daños en estructuras metálicas y de material compuesto expuestas a cambios de temperatura (Etapa I)Universidad Santo Tomás
01/01/201931/12/2023PREMI ICREA ACADEMIAINSTITUCIO CAT DE RECERCA I
01/01/201930/09/2022Geometría-Física-Control y AplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022Simulación in vivo del efecto de la pioxia y la dosis del fármaco en el crecimiento del glioblastomaAGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022 Modelización y computación para una nueva generación de celdas flexo-fotovoltaicas (FlexoPVComp)AGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022Estabilidad de redes MVDC integrando tecnologías de energías renovables, almacenamiento de energía y convertidores de fuente de impedanciaAGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022Dinámica Asociada a Conexiones entre Objetos Invariantes con Aplicaciones a la Neurociencia y la MecánicaAGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022Mecánica Celeste: métodos analíticos y numéricos y aplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022Control y gestión de energía en vehículos eléctricos híbridos con pilas de combustibleAGENCIA ESTATAL DE INVESTIGACION
01/01/201930/09/2022Estudio matemático de los fallos en cascada en sistemas complejos mediante invariantes y centralidades en grafos. Aplicaciones a redes realesAGENCIA ESTATAL DE INVESTIGACION
01/01/201931/12/2021Development of novel mathematical and experimental methodologies to control neuronal activity and dissect spatio-temporal neuronal codesMinisterio de Ciencia, Innovación y Universidades
01/12/201801/12/2018Sistema de multiplexación con aplicación en monitoreo de salud estructural
23/11/201823/11/2018Morphable sheet structure
01/10/201830/09/2020Development of a design-through-analysis methodology based on a coupled isogemetrcic-maximum entropy approachCommission of European Communities
12/09/201812/09/2021Reduction numerical techniques for minimisation of geometrical errors in car body tooling industry.AGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
12/09/201830/09/20222018 DI 038AGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/04/201831/03/2023Multiscale Inversion of Porous Rock Physics using High-Performance Simulators: Bridging the Gap between Mathematics and GeophysicsCommission of European Communities
01/03/201801/09/2021Analysis of “shared value” iniciatives for SME: Multi-criteria decision aid approaches under uncertaintyAGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/03/201828/02/2019CCD 2018-S001 Creació de contingut d’una web interactiva per a la resolució de problemes relatius a la competencia de Sostenibilitat i compromis social a través de l’àlgebra linealCentre de Cooperació per al Desenvolupament , UPC
01/03/201828/02/2022Industrial decision-making on complex production technologies supported by simulation-based engineering (ProTechTion)European Commission
01/03/201830/11/2018Diseño de un sistema de monitoreo de salud estructural utilizando machine learning y computación bio-inspirada (Etapa II)Universidad Santo Tomás
09/02/201828/10/2021Quantifying uncertainty in complex automotive crashworthiness computational models: development of methodologies and implementation in VPSAGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
10/01/201831/07/2018Estudi per l'aprenentatge sobre el muntatge d'un far a un vehicle amb aplicació de realitat virtualFUNDACIO C INNOVACIO I TEC CIT UPC
01/01/201831/12/2023CLOTH manIpulation Learning from DEmonstrationsEuropean Research Council (ERC)
01/01/201830/10/2022Instabilities and homoclinic phenomena in Hamiltonian systemsEuropean Research Council (ERC)
01/01/201830/06/2022PRivacy preserving pOst-quantuM systEms from advanced crypTograpHic mEchanisms Using latticeSCommission of European Communities
01/01/201831/01/201926th International Symposium on Graph Drawing and Network VisualizationMICROSOFT CORP.
01/01/201830/09/2022Métodos Geométricos en Teoría de Grupos (GEOGROUPS)AGENCIA ESTATAL DE INVESTIGACION
01/01/201830/06/2022Visualización, modelado, simulación e interacción con modelos 3D. Aplicaciones en ciencias de la vida y entornos rurales y urbanosAGENCIA ESTATAL DE INVESTIGACION
01/01/201830/09/2022Desarrollo y validación de sistemas de monitorización inteligente, estrategias de control del pitch y de amortiguación estructural para aerogeneradores offshore flotantes.AGENCIA ESTATAL DE INVESTIGACION
01/01/201830/09/2022Ecuaciones en derivadas parciales: problemas de reacción-difusión, integro-diferenciales y geométricosAGENCIA ESTATAL DE INVESTIGACION
01/01/201830/09/2021Asimilación de datos para una simulación ingenieril creibleAGENCIA ESTATAL DE INVESTIGACION
01/01/201830/09/2021Combinatoria geométrica, algebraica y probabilísticaAGENCIA ESTATAL DE INVESTIGACION
01/01/201831/01/2019Graph Drawing 2018CLIENTS DIVERSOS CONGRESOS
04/01/201431/12/2025Automatic Classification of Digital Images of Peripheral Blood: Application to the Initial Diagnosis of Leukemias and LymphomasFundación GOTEO

Teaching staff and research groups

Teachers

Doctoral Programme teachers:

Research projects

START DATEEND DATEACTIVITYFINANCING ENTITY
23/05/202331/12/2024Ajuts als grups de recerca AGRUPS 2023Universitat Politècnica de Catalunya
01/01/202331/12/2025Xarxa R+D+I en Tecnologies de la Salut (Xartec Salut)AGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/01/202330/06/2023Donació pel 39th European Workshop Comput. GeometryOMRON ELECTRONICS IBERIA SA
01/01/202331/12/2025Xarxa d’Innovació de Noves Tecnologies en Salut MentalAGAUR. Agència de Gestió d'Ajuts Universitaris i de Recerca
01/01/202331/12/2025HUB D'INNOVACIÓ PEDIÀTRICAFondo Europeo de Desarrollo Regional
01/12/202230/11/2024Gemelos digitales para la monitorización de la condición de aerogeneradores.AGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Estabilidad en microrredes multi-energía con vectores de electricidad, hidrógeno y gasAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Gestión Eficiente de Sistemas Energéticos incluyendo Almacenamiento de Energía Electroquímico Híbrido mediante Técnicas de DigitalizaciónAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Simulación y visualización de la Erosión y la Degradación Natural debida a actividades AntropogénicasAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Gemelo digital de alta precisión habilitado por computador de altas prestaciones para aplicaciones de sistema eléctrico modernasAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Diseño basado en datos para la optimización de baterías en automociónAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Sistema computacional para el diagnóstico de leucemias agudas y linfomas usando imágenes de células de la sangre: prueba de concepto y plan de valorización tecnológicaAGENCIA ESTATAL DE INVESTIGACION
01/12/202230/11/2024Computational System for the Diagnosis of Acute Leukemia and Lymphoma from Peripheral Blood Images: Proof of Concept and Roadmap for Technological ValorizationMinisteria de Ciencia e innovación
01/09/202231/08/2025Simulación in silico de la respuesta inmune del sistema glioblastoma-cerebroAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Modelado neuromusculoesquelético y simulación de la recuperación de la función motora mediante rehabilitación robótica de la marchaAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Artificial Intelligence for Wind Turbine Condition Monitoring and Structural Health Monitoring.AGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Eliminando barreras técnicas en redes con alta penetración de renovables y electrónica de potencia mediante dispositivos STATCOM y enlaces HVDC basados en grid-formingAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Métodos Geométricos en Teoría de GruposAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Entornos 3D de alta fidelidad para Realidad Virtual y Computación Visual: geometría, movimiento, interacción y visualización para salud, arquitectura y ciudadesAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Métodos Modernos en Mecánica Celeste y AplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Invariant Manifolds, Hamiltonian systems and dynamics in Neuroscience, Epidemiology and AtmosphereAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Métodos Geométricos en Mecánica y Teoría de CamposAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2025Estabilidad de microrredes formadas por agrupaciones de clustersAGENCIA ESTATAL DE INVESTIGACION
01/09/202231/08/2026Ecuaciones en Derivadas Parciales: problemas de reacción-difusión, integro-diferenciales, y de la física matemáticaAGENCIA ESTATAL DE INVESTIGACION
01/07/202230/06/2025Computational, dynamical and geometrical complexity in fluid dynamics.FUNDACIÓN BBVA
01/07/202230/06/2025Securing tailings dam infrastructure with an innovative monitoring SystemEUROPEAN INST OF INNOV.& TECHNOL.
24/05/202231/12/2023Ajuts als grups de recerca AGRUPS 2022Universitat Politècnica de Catalunya
17/03/202217/03/2022Coda4Microbiome
04/03/202203/03/2024Intermediate filament networks: form biological function to biommetic material resilienceAGENCIA ESTATAL DE INVESTIGACION
01/01/202231/12/2025Hpc EuRopean ConsortiUm Leading Education activitieSEUROPEAN COMMISSION
01/01/202231/12/2025MarÍa de Maeztu Program for Centers and Units of Excellence in R&D (proyecto CEX2020-001084-M).Agencia Estatal de Investigación
01/01/202231/12/2026ICREA ACADEMIA 2021Institució Catalana de Recerca i Estudis Avançats (ICREA)
01/01/202231/12/2024Estimación y control en baterias de flujo redox de VanadioAGENCIA ESTATAL DE INVESTIGACION
01/01/202231/12/2025Centre de Recerca MatemàticaMinisterio de Ciencia e Innovación
01/01/202231/12/2024Geometria de Varietats i AplicacionsAgència de Gestió d'Ajuts Universitaris i de Recerca (Agaur)
01/01/202231/12/2025María de Maeztu Award for Centers and Units of Excellence in R&DAgencia Estatal de Investigación
01/12/202130/11/2023BIBLIOTECA CREIBLE DE RUTINAS FUNDAMENTALES E INTERFACES PARA LA INDUSTRIAMinisterio de Ciencia e Innovación
01/12/202130/11/2023Biblioteca creíble de rutinas fundamentales e interfaces para la industriaAGENCIA ESTATAL DE INVESTIGACION
01/10/202130/09/2024Programa de Becas de doctorado INPHiNIT/'La Caixa/' en Universidades y Centros de Investigación españoles y portuguesesFUNDACIO LA CAIXA
01/09/202131/01/2022Desarrollo de técnicas no invasivas para el diagnóstico de la salud estructural de los hornos FC-150 y FC-01 de la empresa Cerro Matoso SACerro Matoso SA
01/09/202131/08/2024Combinatoria: nuevas tendencias y aplicacionesAGENCIA ESTATAL DE INVESTIGACION
01/09/202131/08/2025Dinámica de sistemas celulares contráctiles guiada por adhesión intercel·lularAGENCIA ESTATAL DE INVESTIGACION
01/09/202131/08/2024Ingeniería computacional basada en simulación de aprendizaje automáticoAGENCIA ESTATAL DE INVESTIGACION
01/09/202131/08/2024Scientific Machine Learning for computational Engineering: machine learning for data-driven modelingAgencia Estatal de Investigación
01/07/202131/12/2022Collaboration contract relating to data-driven modelsSHAOXING UNIVERSITY
17/06/202117/06/2021hiperlife
23/05/202123/05/2021Morphable sheet structure.
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Quality

The Validation, Monitoring, Modification and Accreditation Framework (VSMA Framework) for official degrees ties the quality assurance processes (validation, monitoring, modification and accreditation) carried out over the lifetime of a course to two objectives—the goal of establishing coherent links between these processes, and that of achieving greater efficiency in their management—all with the overarching aim of improving programmes.

Validation

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    Registry of Universities, Centers and Degrees (RUCT)

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