Spectral Tau approximation of the two-dimensional Stokes problem (Q1094235)
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scientific article; zbMATH DE number 4024996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral Tau approximation of the two-dimensional Stokes problem |
scientific article; zbMATH DE number 4024996 |
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Spectral Tau approximation of the two-dimensional Stokes problem (English)
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1988
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We analyze the spectral-Tau method for the approximation of the Stokes system on a square. We precise which are the spurious modes for the discrete pressure and we prove an inf-sup condition. We provide an error estimate in the norm of the Sobolev spaces \(H^ s\), for the approximation of a divergence free vector field with polynomial divergence free vector fields. We apply these results to prove some convergence estimates for the solution of the discrete Stokes problem.
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spectral-Tau method
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approximation
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Stokes system on a square
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spurious modes
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discrete pressure
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inf-sup condition
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error estimate
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Sobolev spaces
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divergence free vector field
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polynomial divergence free vector fields
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convergence estimates
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discrete Stokes problem
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