A conjugate gradient solver for the numerical solution of the Stokes problem using a regularisation scheme (Q1337018)
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scientific article; zbMATH DE number 672100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A conjugate gradient solver for the numerical solution of the Stokes problem using a regularisation scheme |
scientific article; zbMATH DE number 672100 |
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A conjugate gradient solver for the numerical solution of the Stokes problem using a regularisation scheme (English)
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26 October 1994
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The homogeneous Dirichlet boundary value problem for the Stokes equation in plane polygonal domains is discretized with usual finite elements and after that regularized by addition of a parameter-depending term. The convergence rate of the method is found depending on the regularization parameter. The technique resembles that of \textit{R. Verfürth} [IMA J. Numer. Anal. 4, 441-455 (1984; Zbl 0563.76028)]. A numerical example confirms the theoretical predictions.
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conjugate gradient method
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Stokes equation
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finite elements
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convergence
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regularization
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numerical example
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0.8303534984588623
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0.7839952707290649
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0.7748704552650452
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