Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh (Q1877176)
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scientific article; zbMATH DE number 2091409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh |
scientific article; zbMATH DE number 2091409 |
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Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh (English)
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16 August 2004
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The aim of this paper is to investigate an a posteriori error estimator for the Crouzeix-Raviart/\(P_0\) pair on anisotropic grids in the framework of the approximation of the Stokes problem. The analysis is based on hierarchical space splitting whose main ingredients are the strengthened Cauchy-Schwarz inequality and the saturation assumption. Beyond a careful mathematical analysis, the efficiency of the method is illustrated by appropriate numerical tests which include an internal layer, a boundary layer, a re-entrant corner and a crack simulation.
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anisotropic mesh
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Stokes problem
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strengthened Cauchy-Schwarz inequality
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error estimator
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adaptive mesh
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internal layer
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boundary layer
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re-entrant corner
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crack simulation
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numerical examples
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finite element method
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