Artículo
A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems
Fecha de publicación:
03/2016
Editorial:
Springer
Revista:
Calcolo
ISSN:
0008-0624
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The paper deals with the weakly penalized exponentially fitted incomplete interior penalty (EF-IIPG0) scheme for advection-diffusion problems. In the first part of the paper, the (Formula presented.) -matrix property on conforming weakly-acute meshes is discussed. In the second part, an a posteriori error estimate is derived. The estimator, especially designed for the advection dominated case, controls the energy norm as well as a semi-norm associated with the advective derivative, taking full advantage of the formulation on non-matching grids. The paper is supplemented by numerical experiments, where the estimator is used as local error indicator for marking the triangles to be refined in an adaptive strategy.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Lombardi, Ariel Luis; Pietra, Paola; Prieto, Mariana Ines; A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems; Springer; Calcolo; 53; 1; 3-2016; 83-103
Compartir
Altmétricas