An adaptive stabilized finite element method for the generalized Stokes problem

Araya, R; Barrenechea, GR; Poza A

Abstract

In this work we present an adaptive strategy (based on an a posteriori error estimator) for a stabilized finite element method for the Stokes problem, with and without a reaction term. The hierarchical type estimator is based on the solution of local problems posed on appropriate finite dimensional spaces of bubble-like functions. An equivalence result between the norm of the finite element error and the estimator is given, where the dependence of the constants on the physics of the problem is explicited. Several numerical results confirming both the theoretical results and the good performance of the estimator are given. © 2007 Elsevier B.V. All rights reserved.

Más información

Título según WOS: An adaptive stabilized finite element method for the generalized Stokes problem
Título según SCOPUS: An adaptive stabilized finite element method for the generalized Stokes problem
Título de la Revista: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volumen: 214
Número: 2
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 2008
Página de inicio: 457
Página final: 479
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0377042707001409
DOI:

10.1016/j.cam.2007.03.011

Notas: ISI, SCOPUS