Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem

Carsten Carstensen, Joscha Gedicke, Eun Jae Park

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The stress-velocity formulation of the stationary Stokes problem allows an Arnold-Winther mixed finite element formulation with some superconvergent reconstruction of the velocity. This local postprocessing gives rise to two reliable a posteriori error estimators which recover optimal convergence order for the stress error estimates. The theoretical results are investigated in numerical benchmark examples.

Original languageEnglish
Pages (from-to)A2267-A2287
JournalSIAM Journal on Scientific Computing
Volume34
Issue number4
DOIs
Publication statusPublished - 2012 Sep 24

Fingerprint

Stokes Problem
Mixed Finite Elements
Numerical Experiment
A Posteriori Error Estimators
Convergence Order
Formulation
Post-processing
Error Estimates
Experiments
Benchmark

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

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Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem. / Carstensen, Carsten; Gedicke, Joscha; Park, Eun Jae.

In: SIAM Journal on Scientific Computing, Vol. 34, No. 4, 24.09.2012, p. A2267-A2287.

Research output: Contribution to journalArticle

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