Overlapping Schwarz methods for unstructured spectral elements (Q1979138)
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scientific article; zbMATH DE number 1452598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Overlapping Schwarz methods for unstructured spectral elements |
scientific article; zbMATH DE number 1452598 |
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Overlapping Schwarz methods for unstructured spectral elements (English)
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12 March 2001
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The authors introduce and study a parallel and scalable domain decomposition method for unstructured and hybrid spectral element discretizations of elliptic problems. The spectral elements are affine images of the reference triangle or square in two dimensions and of the reference tetrahedron, pyramid, prism, or cube in three dimensions. The method is based on overlapping Schwarz techniques to the Schur complement of the discrete system and is implemented as a preconditioner for a Krylov subspace method. The results of several numerical experiments performed with the code NekTar are presented.
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spectral elements
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unstructured meshes
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domain decomposition
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overlapping Schwarz methods
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numerical examples
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parallel computation
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elliptic problems
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Schur complement
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preconditioner
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Krylov subspace method
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