Examinando por Autor "Osorio, Mauricio"

Mostrando 1 - 2 de 2
  • Miniatura
    Ítem
    Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
    (Universidad EAFIT, 2013-03-22) Osorio, Mauricio; French, Donald; Universidad Nacional de Colombia; University of Cincinnati
  • Miniatura
    Ítem
    A High-Order HDG Method with Dubiner Basis for Elliptic Flow Problems
    (Universidad EAFIT, 2020-11-11) Bastidas, Manuela; Lopez-Rodríguez, Bibiana; Osorio, Mauricio; Hasselt University; Universidad Nacional de Colombia
    We propose a standard hybridizable discontinuous Galerkin (HDG) method to solve a classic problem in fluids mechanics: Darcy’s law. This model describes the behavior of a fluid trough a porous medium and it is relevant to the flow patterns on the macro scale. Here we present the theoretical results of existence and uniqueness of the weak and discontinuous solution of the second order elliptic equation, as well as the predicted convergence order of the HDG method. We highlight the use and implementation of Dubiner polynomial basis functions that allow us to develop a general and efficient high order numerical approximation. We also show some numerical examples that validate the theoretical results.