A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations (Q2780579)
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scientific article; zbMATH DE number 1729192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations |
scientific article; zbMATH DE number 1729192 |
Statements
15 April 2002
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Helmholtz equation
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multigrid
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Krylov methods
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generalized minimal residual method
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GMREs
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exterior problem
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A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations (English)
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This paper begins with a detailed analysis of the behavior of multigrid methods for 1-dimensional discrete Helmholtz problems, and it shows why the standard methods often fail. The authors recommend the use of the generalized minimal residual (GMREs) method as a smoother and as an outer iteration. The effectiveness of their method is illustrated by computations of a 2-dimensional exterior problem.
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