The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions (Q1003866)
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scientific article; zbMATH DE number 5523294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions |
scientific article; zbMATH DE number 5523294 |
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The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions (English)
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4 March 2009
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A formula for the optimal value of the relaxation parameter of the successive overrelaxation (SOR)-method for a numerical solution of the finite difference approximation of the multidimensional Poisson equation is derived. Test calculations in three dimensions are given.
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optimal relaxation parameter
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sparse linear systems
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Poisson equation
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finite difference method
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numerical examples
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successive overrelaxation (SOR) method
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