On monotone iteration and Schwarz methods for nonlinear parabolic PDEs. (Q1421209)
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scientific article; zbMATH DE number 2032606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On monotone iteration and Schwarz methods for nonlinear parabolic PDEs. |
scientific article; zbMATH DE number 2032606 |
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On monotone iteration and Schwarz methods for nonlinear parabolic PDEs. (English)
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26 January 2004
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The author proves convergence of two Schwarz methods for a class of scalar nonlinear parabolic partial differential equations (PDEs). The quasi-monotone nonincreasing case of a coupled system of PDEs is studied and proof of convergence of an additive Schwarz method on finitely many subdomains is given. The other cases (quasi-monotone nondecreasing and mixed quasi-monotone) are also discussed.
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domain decomposition
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nonlinear parabolic PDE
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Schwarz alternating method
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monotone methods
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subsolution
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supersolution
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convergence
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additive Schwarz method
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