Now showing items 1-20 of 28

    • A boundary algebraic formulation for plane strain elastodynamic scattering 

      Poblet-Puig, Jordi; Shanin, Andrey (Society for Industrial and Applied Mathematics (SIAM), 2018)
      Article
      Open Access
      Solving of elastodynamic problems arises in many scientific fields such as wave propagation in the ground, non-destructive testing, vibration design of buildings, or vibroacoustics in general. An integral formulation based ...
    • A C0 interior penalty method for 4th order PDE's 

      Fojo Álvarez, Daniel (Universitat Politècnica de Catalunya, 2019-07)
      Master thesis
      Open Access
      Fourth order Partial Differential Equations (PDE's) arise in many different physic's fields. As an example, the research group for Mathematical and Computational Modeling at UPC LaCàN is studying flexoelectricity, a very ...
    • A face-centred finite volume method for second-order elliptic problems 

      Sevilla Cárdenas, Rubén; Giacomini, Matteo; Huerta, Antonio (John Wiley & sons, 2018-08-24)
      Article
      Open Access
      This work proposes a novel finite volume paradigm, the face-centred finite volume (FCFV) method. Contrary to the popular vertex (VCFV) and cell (CCFV) centred finite volume methods, the novel FCFV defines the solution on ...
    • A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity 

      Shen, Yongxing; Lew, Adrian J. (2012)
      Article
      Open Access
      We introduce a family of mixed discontinuous Galerkin (DG) finite element methods for nearly and perfectly incompressible linear elasticity. These mixed methods allow the choice of polynomials of any order k 2: 1 for the ...
    • A finite calculus formulation of the level set equation 

      Idelshon, Sergio Rodolfo; Oñate Ibáñez de Navarra, Eugenio; Ransau, S. (2003-09)
      External research report
      Open Access
      A finite calculus formulation of the level set equation is presented. Quadratic Galerkin finite elements are used for spatial discretization. A unique stabilization parameter is computed. A time stabilization parameter ...
    • A Finite Element Method Solution to the Phase-Field Model of the Stefan Problem 

      Orteu Capdevila, Max (Universitat Politècnica de Catalunya, 2021-01)
      Bachelor thesis
      Open Access
      The heat equation is known as one of the easiest PDEs to solve. However, when we consider the case where two different phases coexist, (i.e. the so-called Stefan problem), suddenly everything becomes much harder to solve, ...
    • A hybridizable discontinuous Galerkin phase-field model for brittle fracture 

      Muixí Ballonga, Alba; Fernández Méndez, Sonia; Rodríguez Ferran, Antonio (2019-05-01)
      Article
      Open Access
      Phase-field models for brittle fracture consider smeared representations of cracks, which are described by a continuous field that varies abruptly in the transition zone between unbroken and broken states. Computationally, ...
    • A locking-free face-centred finite volume (FCFV) method for linear elastostatics 

      Sevilla Cárdenas, Rubén; Giacomini, Matteo; Huerta, Antonio (2019-02-01)
      Article
      Open Access
      A face-centred finite volume (FCFV) method is proposed for linear elastostatic problems. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines the unknowns on the faces (edges ...
    • A new numerical method for solving the acoustic radiation problem 

      Poblet-Puig, Jordi; Shanin, Andrey (2018-03)
      Article
      Open Access
      A numerical method of solving the problem of acoustic wave radiation in the presence of a rigid scatterer is described. It combines the finite element method and the boundary algebraic equation one. In the proposed method, ...
    • A superconvergent hybridisable discontinuous Galerkin method for linear elasticity 

      Sevilla Cárdenas, Rubén; Giacomini, Matteo; Karkoulias, Alexandros; Huerta, Antonio (John Wiley & sons, 2018-10-12)
      Article
      Open Access
      The first superconvergent hybridisable discontinuous Galerkin method for linear elastic problems capable of using the same degree of approximation for both the primal and mixed variables is presented. The key feature of ...
    • An upwind cell centred Total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications 

      Haider, Jibran; Lee, Chun Hean; Gil, Antonio; Huerta, Antonio; Bonet Carbonell, Javier (2018-10-01)
      Article
      Open Access
      The paper presents a new computational framework for the numerical simulation of fast large strain solid dynamics, with particular emphasis on the treatment of near incompressibility. A complete set of first order hyperbolic ...
    • Automatically imposing incremental boundary displacements for valid mesh morphing and curving 

      Ruiz Gironès, Eloi; Gargallo Peiró, Abel; Sarrate Ramos, Josep; Roca, Xevi (2019-07)
      Article
      Open Access
      We present a new incremental mesh morphing method obtained by proposing and discretizing a solution procedure for the continuous morphing problem. Our method seeks a diffeomorphism that transforms an initial domain to a ...
    • Estudi d’alternatives per a la resolució de problemes no lineals discretitzats amb HDG 

      Deumal Abizanda, Josep (Universitat Politècnica de Catalunya, 2013-07)
      Master thesis (pre-Bologna period)
      Open Access
      El treball Estudi d'alternatives per a la resolució de problemes no lineals discretitzats amb HDG, escrit per Josep Deumal A. tracta sobre la búsqueda i anàlisi de diferents metodologies de resolució del problema no lineal ...
    • Experimental and numerical study of Advanced Transfer Path Analysis applied to a box prototype 

      Aragonès Martín, Àngels; Poblet-Puig, Jordi; Arcas, Kevin; Vicens Rodríguez, Pere; Magrans Fontrodona, Francesc Xavier; Rodríguez Ferran, Antonio (2019-01-01)
      Article
      Open Access
      Advanced Transfer Path Analysis (ATPA) is a technique that allows the characterisation of vibroacoustic systems not only from the point of view of contributions but also topologically by means of the path concept. Some of ...
    • Extended finite elements for problems with Voids 

      Li, Qian (Universitat Politècnica de Catalunya, 2013-07)
      Master thesis
      Open Access
      The Finite Element Method (FEM) is currently widely used for the numerical so- lution of boundary value problems de ned by Partial Di erential Equations. It has been successfully applied in many areas of applied sciences ...
    • Finite Volume vs Finite Element: is there really a choice? 

      Zienkiewicz, Olgierd Cecil; Oñate Ibáñez de Navarra, Eugenio (1990-11)
      External research report
      Open Access
    • HDG para problemas de ondas : Análisis de la dispersión numérica y aplicaciones 

      Belda Ferrín, Guillem (Universitat Politècnica de Catalunya, 2014-07)
      Bachelor thesis
      Open Access
      En este trabajo se realiza un análisis de dispersión para los métodos Continuous Galerkin (CG) y Hybridizable Discontinuous Galerkin (HDG) al ser aplicados a la ecuación de Helmholtz en 1D. Se calcula la expresión del error ...
    • HDG-NEFEM with degree adaptivity for stokes flows 

      Sevilla Cárdenas, Rubén; Huerta, Antonio (2018-02-07)
      Article
      Open Access
      The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable discontinuous Galerkin (HDG) approach is presented for the first time. The proposed technique completely eliminates the uncertainty induced by ...
    • HDGlab: an open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB 

      Giacomini, Matteo; Sevilla, Rubén; Huerta, Antonio (2020-10-22)
      Article
      Open Access
      This paper presents HDGlab, an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both the HDG method for elliptic problems and ...
    • 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 ...