On monotone and Schwarz alternating methods for nonlinear elliptic PDEs (Q2709434)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On monotone and Schwarz alternating methods for nonlinear elliptic PDEs |
scientific article |
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19 December 2001
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domain decomposition
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Schwarz alternating method
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monotone methods
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nonlinear elliptic PDEs
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convergence
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difference methods
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population biology
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On monotone and Schwarz alternating methods for nonlinear elliptic PDEs (English)
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Convergence proofs of some Schwarz alternating methods for nonlinear elliptic problems by the monotone method are given. In particular, an additive Schwarz method for scalar or coupled nonlinear partial differential equations (PDEs) are shown to converge for finitely many subdomains. These methods are applicable to several models in population biology.
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