Ara es mostren els items 1-20 de 24

  • A comparison of two formulations to blend finite elements and mesh-free methods 

    Huerta, Antonio; Fernandez Mendez, Sonia; Liu, W K (2004-03)
    Article
    Accés obert
    Mesh-free methods have since their early developments been blended to the finite element formulation in order to benefit from the advantages of both numerical techniques. In this paper, two recently proposed formulations ...
  • A discontinuous galerkin formulation for solid dynamics 

    Peraire Guitart, Jaume; Bonet Carbonell, Javier; Huerta, Antonio; Persson, Per Olof; Vidal Seguí, Yolanda (Omnipress, 2006)
    Presentació
    Accés obert
  • A simple shock-capturing technique for high-order discontinuous Galerkin methods 

    Huerta, Antonio; Casoni Rero, Eva; Peraire Guitart, Jaume (2012-08)
    Article
    Accés obert
    This article presents a novel shock-capturing technique for the discontinuous Galerkin (DG) method. The technique is designed for compressible flow problems, which are usually characterized by the presence of strong shocks ...
  • Adaptive finite element simulation of incompressible flows by hybrid continuous-discontinuous Galerkin formulations 

    Badia, Santiago; Baiges Aznar, Joan (2013-02)
    Article
    Accés obert
    In this work we design hybrid continuous-discontinuous finite element spaces that permit discontinuities on non-matching element interfaces of non-conforming meshes. Then, we develop an equal-order stabilized finite element ...
  • Aplicación del método de Galerkin discontinuo a problemas de flujo comprensible 

    Sarrado Giménez, Maria (Universitat Politècnica de Catalunya, 2007-07-03)
    Tesina
    Accés obert
    La resolució numèrica de les equacions d'Euler, sistema hiperbòlic no lineal que descriu el comportament dels fluids compressibles, comporta nombroses dificultats. El mètode de Galerkin discontinu és en l'actualitat una ...
  • Aspectos computacionales del método Local Discontinuous Galerkin para mallas no conformes en 2D 

    Castillo, Paul E. (Universitat Politècnica de Catalunya. CIMNE, 2010)
    Article
    Accés obert
    En este artículo se describe una implementación del método Local Discontinuous Galerkin (LDG) aplicado a problemas elípticos en 2D para mallas no conformes con elementos rectilí­neos. Esta implementación toma ventaja de ...
  • Bounds for quantities of interest and adaptivity in the element-free Galerkin method 

    Vidal Seguí, Yolanda; Parés Mariné, Núria; Díez, Pedro; Huerta, Antonio (Wiley and Sons, 2008-07)
    Article
    Accés obert
    A novel approach to implicit residual-type error estimation in mesh-free methods and an adaptive refinement strategy are presented. This allows computing upper and lower bounds of the error in energy norm with the ultimate ...
  • Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization 

    Parés Mariné, Núria; Díez, Pedro; Huerta, Antonio (2008-03)
    Article
    Accés obert
    Classical implicit residual type error estimators require using an underlying spatial finer mesh to compute bounds for some quantity of interest. Consequently, the bounds obtained are only guaranteed asymptotically that ...
  • Cell-based maximum entropy approximants 

    Millán, Raúl Daniel; Sukumar, N; Arroyo Balaguer, Marino (2015-02-01)
    Article
    Accés restringit per política de l'editorial
    In this paper, we devise cell-based maximum-entropy (max-ent) basis functions that are used in a Galerkin method for the solution of partial differential equations. The motivation behind this work is the construction of ...
  • Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations 

    Villardi de Montlaur, Adeline de; Fernandez Mendez, Sonia; Huerta, Antonio (2008-07)
    Article
    Accés obert
    A discontinuous Galerkin (DG) method with solenoidal approximation for the simulation of incompressible flow is proposed. It is applied to the solution of the Stokes equations. The interior penalty method is employed to ...
  • Goal oriented error estimation for the element free Galerkin method 

    Vidal Seguí, Yolanda; Huerta, Antonio (2007-06)
    Article
    Accés obert
    A novel approach for implicit residual-type error estimation in meshfree methods is presented. This allows to compute upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs ...
  • Goal-oriented error estimation for transient parabolic problems 

    Díez, Pedro; Calderón, Giovanni (2007-04)
    Article
    Accés obert
    This work focuses on controlling the error and adapting the discretization in the context of parabolic problems. In order to obtain a sound mathematical framework, the time domain is discretized using a Discontinuous ...
  • Hybridizable discontinuous Galerkin p-adaptivity for wave propagation problems 

    Giorgiani, Giorgio; Fernandez Mendez, Sonia; Huerta, Antonio (2013)
    Article
    Accés obert
    A p-adaptive hybridizable discontinuous Galerkin method for the solution of wave problems is presented in a challenging engineering problem. Moreover, its performance is compared with a high-order continuous Galerkin. The ...
  • Locking in the incompressible limit for the element-free Galerkin method 

    Huerta, Antonio; Fernandez Mendez, Sonia (Wiley and Sons, 2001-04)
    Article
    Accés obert
    Volumetric locking (locking in the incompressible limit) for linear elastic isotropic materials is studied in the context of the element-free Galerkin method. The modal analysis developed here shows that the number of ...
  • Locking in the incompressible limit: pseudo-divergence-free element free Galerkin 

    Vidal Seguí, Yolanda; Villon, Pierre; Huerta, Antonio (2003-09)
    Article
    Accés obert
    Locking in finite elements has been a major concern since its early developments. It appears because poor numerical interpolation leads to an over-constrained system. This paper proposes a new formulation that asymptotically ...
  • Locking in the incompressible limit: pseudo-divergence-free element free Galerkin 

    Vidal Seguí, Yolanda; Villon, Pierre; Huerta, Antonio (2002-11)
    Article
    Accés obert
    Locking in finite elements has been a major concern since its early developments and has been extensively studied. However, locking in mesh-free methods is still an open topic. Until now the remedies proposed in the ...
  • Meshfree methods 

    Huerta, Antonio; Belytscko, T; Fernandez Mendez, Sonia; Rabczuk, T (John Wiley & Sons, 2004-10)
    Capítol de llibre
    Accés restringit per política de l'editorial
    The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares ...
  • El método de los segmentos 

    Viamontes Esquivel, Alcides; Perez Sanchez, Ismay; Recarey Morfa, Carlos A. (Universitat Politècnica de Catalunya, 2008)
    Article
    Accés obert
    Se reporta el uso de segmentos como dominio de integración para los métodos libres de mallas de tipo Petrov-Galerkin Local (MLPG). El procedimiento acarrea ventajas en el tratamiento de dominios con forma geométrica ...
  • Un nuevo enfoque para el tratamiento de los términos difusivos en la ecuación de convección-difusión en el método de Galerkin discontinuo 

    Gómez, H; Colominas, I; Navarrina Martínez, Fermín Luis; Casteleiro Maldonado, Manuel (Universitat Politècnica de Catalunya, 2007)
    Article
    Accés obert
    Los modelos utilizados en la práctica para problemas de convección-difusión están habitualmente basados en la ley de Fick. En ciertas aplicaciones el uso de la ley de Fick lineal puede ser adecuado, a pesar de predecir ...
  • On discrete maximum principles for discontinuous Galerkin methods 

    Badia, Santiago; Hierro Fabregat, Alba (2015-04)
    Article
    Accés obert
    The aim of this work is to propose a monotonicity-preserving method for discontinuous Galerkin (dG) approximations of convection–diffusion problems. To do so, a novel definition of discrete maximum principle (DMP) is ...