Algebraic spectral multigrid methods (Q1175228)
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scientific article; zbMATH DE number 11187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic spectral multigrid methods |
scientific article; zbMATH DE number 11187 |
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Algebraic spectral multigrid methods (English)
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25 June 1992
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The solution of Helmholtz's equation on a unit square is considered. Many spectral methods lead to linear systems of equations which are much more ill-conditioned than that of a finite difference method with the same number of degrees of freedom. In this paper, a special basis of Jacobi polynomials is chosen and the resulting matrix becomes better conditioned and has a sparsity similar to that of a finite difference scheme. Multigrid methods for this problem are also explored.
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Helmholtz's equation
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spectral methods
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finite difference method
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Jacobi polynomials
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Multigrid methods
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