Additive Schwarz algorithms for solving \(hp\)-version finite element systems on triangular meshes (Q1861993)
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scientific article; zbMATH DE number 1879038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Additive Schwarz algorithms for solving \(hp\)-version finite element systems on triangular meshes |
scientific article; zbMATH DE number 1879038 |
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Additive Schwarz algorithms for solving \(hp\)-version finite element systems on triangular meshes (English)
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10 March 2003
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The authors present an analysis of several ways of preconditioning interface problems related to domain decomposition. In particular, initial analysis of the preconditioners is based on the handling of the vertex unknowns and the type of edge coordinate functions employed. This is followed by a discussion of preconditioning related to arbitrary interface coordinate functions. Additionally, the preconditioners only require element-by-element and edge-by-edge operation which consequently reduce computational cost. Estimates of the generalized condition numbers are given in all cases.
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additive Schwarz algorithms
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finite elements
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preconditioning
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hp-version
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interface problems
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domain decomposition
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condition numbers
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