Error estimators for advection–reaction–diffusion equations based on the solution of local problems

This paper deals with a posteriori error estimates for advection–reaction–diffusion equations. In particular, error estimators based on the solution of local problems are derived for a stabilized finite element method. These estimators are proved to be equivalent to the error, with equivalence const...

Descripción completa

Autor Principal: Araya, Rodolfo
Otros Autores: Rodríguez, Rodolfo, Behrens R., Edwin Marcelo
Formato: Artículo
Idioma: English
Publicado: Elsevier 2015
Materias:
Acceso en línea: Journal of Computational and Applied Mathematics 206
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
Sumario: This paper deals with a posteriori error estimates for advection–reaction–diffusion equations. In particular, error estimators based on the solution of local problems are derived for a stabilized finite element method. These estimators are proved to be equivalent to the error, with equivalence constants eventually depending on the physical parameters. Numerical experiments illustrating the performance of this approach are reported.