An adaptive stabilized finite element method for the generalized Stokes problem

Rodolfo Araya, Gabriel R. Barrenechea, Abner Poza

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.
LanguageEnglish
Pages457-479
Number of pages22
JournalJournal of Computational and Applied Mathematics
Volume214
Issue number2
DOIs
Publication statusPublished - 1 May 2008

Fingerprint

Stabilized Finite Element Method
Adaptive Finite Element Method
Stokes Problem
Estimator
Finite element method
A Posteriori Error Estimators
Adaptive Strategies
Physics
Bubble
Equivalence
Finite Element
Norm
Numerical Results
Term

Keywords

  • Stokes equation
  • a posteriori error estimator
  • bubble function
  • stabilized finite element method
  • adapted mesh

Cite this

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An adaptive stabilized finite element method for the generalized Stokes problem. / Araya, Rodolfo; Barrenechea, Gabriel R.; Poza, Abner.

In: Journal of Computational and Applied Mathematics, Vol. 214, No. 2, 01.05.2008, p. 457-479.

Research output: Contribution to journalArticle

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