Schur complement domain decomposition algorithms for spectral methods (Q1263265)
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scientific article; zbMATH DE number 4126645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schur complement domain decomposition algorithms for spectral methods |
scientific article; zbMATH DE number 4126645 |
Statements
Schur complement domain decomposition algorithms for spectral methods (English)
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1989
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Schur complement domain decomposition algorithms for spectral methods are considered. Both the Funaro-Maday-Patera weak \(C^ 1\) matching on the interfaces [cf. \textit{A. T. Patera}, J. Comput. Phys. 54, 468-488 (1984; Zbl 0535.76035)] and \textit{S. A. Orszag}'s exact \(C^ 1\) matching [ibid. 37, 70-92 (1980; Zbl 0476.65078)] are considered. Numerical results show that the condition number of the Schur complement system is of order \(O(n^ 2)\). It is shown how this can be improved to nearly O(1) by a boundary probe preconditioned.
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preconditioning
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Poisson equation
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parallel algorithms
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preconditioned conjugate gradient
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Schur complement domain decomposition algorithms
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spectral methods
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condition number
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