The smoothing properties of the alternating direction implicit method in multigrid iterations (Q1112568)
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scientific article; zbMATH DE number 4078695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The smoothing properties of the alternating direction implicit method in multigrid iterations |
scientific article; zbMATH DE number 4078695 |
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The smoothing properties of the alternating direction implicit method in multigrid iterations (English)
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1987
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This paper uses local mode analysis to assess the performance of a multigrid method using an ADI as a smoother for solving the Laplace and biharmonic equations. The analysis shows that, in this context, ADI compares favorably to Gauss-Seidel using lexicographic ordering.
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comparison of methods
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Laplace equation
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alternating directions implicit method
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ADI method
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Gauss-Seidel method
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multigrid method
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biharmonic equations
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