SciELO - Scientific Electronic Library Online

 
vol.23 número2Precondicionamiento del método LDG para la ecuación vectorial de HelmholtzUna introducción al método libre de malla de Conjuntos Finitos De Puntos índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados

Revista

Articulo

Indicadores

Links relacionados

  • No hay articulos similaresSimilares en SciELO

Compartir


Revista de Matemática Teoría y Aplicaciones

versión impresa ISSN 1409-2433

Resumen

GUILLEN-OVIEDO, Helen  y  SEQUEIRA, Filánder A.. Analysis of the local discontinuous galerkin method for the Fokker-Planck equation. Rev. Mat [online]. 2016, vol.23, n.2, pp.361-387. ISSN 1409-2433.

In this paper we introduce and analyze the Local Discontinuous Galerkin (LDG) method for the Fokker-Planck equation with homogeneous boundary conditions. In particular, we employ a mixed formulation in which the main unknowns are given by the probability current and the probability density function. We apply known results from functional analysis, to establish that the discrete scheme is well-posed. In addition, error estimates are proved for the fully-discrete method using backward Euler time stepping. Finally, we provide numerical examples exhibiting the good performance of the proposed scheme.

Palabras clave : Fokker-Planck equation; mixed finite element method; discontinuous Galerkin method; high-order approximations.

        · resumen en Español     · texto en Español     · Español ( pdf )