Eigenvalue analysis of a block red-black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation (Q2725053)
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scientific article; zbMATH DE number 1618696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalue analysis of a block red-black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation |
scientific article; zbMATH DE number 1618696 |
Statements
13 September 2002
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numerical examples
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bi-CGSTAB method
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block red-block Gauss-Seidel preconditioner
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Hermite collocation
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Poisson equation
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convergence
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0.9195128
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0.8609009
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0.8488036
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0.84774375
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0.84632295
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0.84614426
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0.8430561
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0.8429655
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Eigenvalue analysis of a block red-black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation (English)
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The authors derives analytic formulae for the eigenvalues that control the convergence rate of the Bi-CGSTAB/RBGS method. They also investigate the optimal location of the collocation points. Computer experiments that support the view of the authors are also given.
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