Departament de Matemàtica Aplicada III
Recent Submissions
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On iterative methods to solve nonlinear equations
(Universitat Politècnica de Catalunya, 2015-01-28)
Doctoral thesis
Open AccessMany of the problems in experimental sciences and other disciplines can be expressed in the form of nonlinear equations. The solution of these equations is rarely obtained in closed form. With the development of computers, ... -
On the consistency of hysteresis models
(Universitat Politècnica de Catalunya, 2014-01-30)
Doctoral thesis
Open AccessHysteresis is a nonlinear behavior encountered in a wide variety of processes including biology, optics, electronics, ferroelectricity, magnetism, mechanics, structures, among other areas. One of the main features of ... -
Engineering patterns of wrinkles and bubbles in supported graphene through modeling and simulation
(Universitat Politècnica de Catalunya, 2015-06-10)
Doctoral thesis
Open AccessGraphene deposited on a substrate often exhibits out-of-plane deformations with different features and origins. Networks of localized wrinkles have been observed in graphene synthesized through CVD, as a result of compressive ... -
Machine learning in multiscale modeling and simulations of molecular systems
(Universitat Politècnica de Catalunya, 2015-05-08)
Doctoral thesis
Open AccessCollective variables (CVs) are low-dimensional representations of the state of a complex system, which help us rationalize molecular conformations and sample free energy landscapes with molecular dynamics simulations. ... -
Estimación bayesiana de cópulas extremales en procesos de Poisson
(Universitat Politècnica de Catalunya, 2015-02-04)
Doctoral thesis
Open AccessThe estimation of occurrence probabilities of extremal quantities is essential in the study of hazards associated with natural phenomena. The extremal quantities of interest usually correspond to phenomena characterized ... -
Matroids : h-vectors, zonotopes, and Lawrence polytopes
(Universitat Politècnica de Catalunya, 2015-02-25)
Doctoral thesis
Open AccessThe main objects of study in this thesis are matroids. In particular we are interested in three particular classes matroids: regular matroids, arithmetic matroids, and internally perfect matroids. Of these families, regular ... -
Rational points on Shimura curves and Galois representations
(Universitat Politècnica de Catalunya, 2014-11-07)
Doctoral thesis
Open AccessThis thesis explores one of the essential arithmetical and diophantine properties of Shimura curves and their Atkin-Lehner quotients: the existence of rational points on these families of curves over both number fields and ... -
Decomposition techniques for computational limit analysis
(Universitat Politècnica de Catalunya, 2014-10-27)
Doctoral thesis
Open AccessLimit analysis is relevant in many practical engineering areas such as the design of mechanical structure or the analysis of soil mechanics. The theory of limit analysis assumes a rigid, perfectly-plastic material to model ... -
Arithmetic properties of non-hyperelliptic genus 3 curves
(Universitat Politècnica de Catalunya, 2014-09-10)
Doctoral thesis
Open AccessThis thesis explores the explicit computation of twists of curves. We develope an algorithm for computing the twists of a given curve assuming that its automorphism group is known. And in the particular case in which the ... -
The inverse problem on finite networks
(Universitat Politècnica de Catalunya, 2014-06-19)
Doctoral thesis
Open AccessThe aim of this thesis is to contribute to the field of discrete boundary value problems on finite networks. Boundary value problems have been considered both on the continuum and on the discrete fields. Despite working ... -
Validation and generation of curved meshes for high-order unstructured methods
(Universitat Politècnica de Catalunya, 2014-07-25)
Doctoral thesis
Open AccessIn this thesis, a new framework to validate and generate curved high-order meshes for complex models is proposed. The main application of the proposed framework is to generate curved meshes that are suitable for finite ... -
Continuous-discontinuous modelling for quasi-brittle failure: propagating cracks in a regularised bulk
(Universitat Politècnica de Catalunya, 2013-12-05)
Doctoral thesis
Open AccessA new strategy to describe failure of quasi-brittle materials -concrete, for example- is presented. Traditionally, numerical simulation of quasi-brittle failure has been tackled from two different points of view: damage ...
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