Now showing items 21-32 of 32

    • Implementation of the proper generalized decomposition for hybridizable discontinuous Galerkin 

      Ribera Manzano, Pablo (Universitat Politècnica de Catalunya, 2017-10)
      Master thesis
      Open Access
      En aquest treball de final de màster es desenvolupa una narració lògica de la implementació de la ''proper generalized decomposition'' (model order reduction technique) per al mètode d'elements finits (FEM) ''hybridizable ...
    • Multiscale proper generalized decomposition based on the partition of unity 

      Ibáñez Pinillo, Rubén; Ammar, Amine; Cueto Prendes, Elias; Huerta, Antonio; Duval, Jean Louis; Chinesta, Francisco (John Wiley & sons, 2019-11-09)
      Article
      Open Access
      Solutions of partial differential equations could exhibit a multiscale behavior. Standard discretization techniques are constraints to mesh up to the finest scale to predict accurately the response of the system. The ...
    • Numerical approximation of internal discontinuity interface problems 

      Discacciati, Marco; Quarteroni, Alfio; Quinodoz, Samuel (2013-10-23)
      Article
      Open Access
      This work focuses on the finite element discretization of boundary value problems whose solution features either a discontinuity or a discontinuous conormal derivative across an in- terface inside the computational domain. ...
    • Numerical modelling of the growth of glioblastoma cells in microfluidic devices 

      Elzaurdi Carrera, Maria (Universitat Politècnica de Catalunya, 2022-06)
      Master thesis
      Open Access
      Glioblastoma Multiform tumour (GBM) is the most common and aggressive of the primary gliomas. Therefore, special efforts are focused on the development of new drugs and therapies that can lead to a better prognosis. To ...
    • Numerical solution of PDEs in periodical domains 

      Barceló Mercader, Jordi (Universitat Politècnica de Catalunya, 2018-01)
      Master thesis
      Open Access
      We present in this work two schemes of approximation for numerical solutions of PDEs. The first one is the maximum entropy method (max-ent) and the second one is the b-spline method. These methods let us impose a special ...
    • Numerical solution of the Helmholtz Equation using high-order continuous Galerkin methods 

      Corella Pérez, Sandra (Universitat Politècnica de Catalunya, 2017-07)
      Master thesis
      Open Access
      We show a continuous Galerkin formulation with high-order polynomials to solve the Helmholtz equation. High-order formulations obtain solutions with less numerical error, and can use curved high-order meshes to approximate ...
    • Option pricing using numerical methods for PDEs 

      Comas Ollé, Pau (Universitat Politècnica de Catalunya, 2016-07)
      Bachelor thesis
      Restricted access - author's decision
      Now a days mathematics can be used for many different purposes or topics, and every day new fields to be applied are found. One of this fields, which is becoming more and more popular, is financial mathematics. This thesis ...
    • Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition 

      Tsiolakis, Vasileios; Giacomini, Matteo; Sevilla Cárdenas, Rubén; Othmer, Carsten; Huerta, Antonio (Elsevier, 2022-01-15)
      Article
      Open Access
      An a priori reduced order method based on the proper generalised decomposition (PGD) is proposed to compute parametric solutions involving turbulent incompressible flows of interest in an industrial context, using OpenFOAM. ...
    • Partial differential equations in finance : The case of The American Option 

      Elson, Thomas Alain Christopher (Universitat Politècnica de Catalunya, 2020-07)
      Bachelor thesis
      Restricted access - author's decision
      This work introduces the well known Black-Scholes partial differential equation. Namely,the focus is on its application on assessing the value of American options. This is an important topic in finance, as researchers are ...
    • Solució pel mètode dels elements finits de materials electroactius 

      González Esteve, Mariona (Universitat Politècnica de Catalunya, 2020-07)
      Bachelor thesis
      Open Access
      Els materials electroactius són materials que generen un camp elèctric quan se'ls hi aplica una tensió que els deforma, i viceversa. En aquest treball es fa un anàlisi matemàtic d'aquest fenomen en els materials piezoelèctrics ...
    • String method for the study of nucleation events in multicomponent liquid mixtures 

      Bataller i Umbert, Josep (Universitat Politècnica de Catalunya, 2021-07-15)
      Bachelor thesis
      Open Access
      Covenantee:   Princeton University
      La nucleació és un procés molt comú pel qual la separació de fases es dóna en sistemes líquids multicomponents. Els models de camps de fase són habitualment emprats per estudiar la separació de fases, però són insuficients ...
    • Study of the Laplacian eigenvalues of fractal sets 

      Aparicio Estrems, Guillermo (Universitat Politècnica de Catalunya, 2017-07)
      Master thesis
      Open Access
      This thesis presents an example of known discretization methods for spectral problems in partial dierential equations and it is applied with some computations in planar domains with irregular (non-smooth) and self-similar ...