A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges (Q2763938)
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scientific article; zbMATH DE number 1693411
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges |
scientific article; zbMATH DE number 1693411 |
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A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges (English)
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24 November 2002
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non-conforming finite element method
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anisotropic mesh
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Crouzeix-Raviart element
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consistency
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numerical example
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Stokes problem
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error estimate
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0.9673815
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0.9013162
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0.8987346
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0.89581776
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The solution of the Stokes problem in three-dimensional domains with edges and its anisotropic singular behaviour is treated numerically by using anisotropic finite element meshes. The velocity is approximated by Crouzeix-Raviart (nonconforming \(P_1\)) elements and the pressure by piecewise constants. The authors prove the regularity result, and then the optimal order finite element error estimate. A numerical test is given.
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