A block monotone domain decomposition algorithm for a semilinear convection--diffusion problem (Q1765260)
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scientific article; zbMATH DE number 2137291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A block monotone domain decomposition algorithm for a semilinear convection--diffusion problem |
scientific article; zbMATH DE number 2137291 |
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A block monotone domain decomposition algorithm for a semilinear convection--diffusion problem (English)
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23 February 2005
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This paper presents a method for computing converging sequences of upper and lower solutions to a semilinear convection-diffusion equation on the unit square. Singular perturbation is handled by the use of a Shishkin mesh. Upwind differencing is used for the convection terms. A domain decomposition into vertical strips is also given, and the resulting discrete problem is solved by a Schwarz alternating method with iterations proceeding in the downwind direction.
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semilinear convection-diffusion equation
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singular perturbation
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domain decomposition
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monotone iterations
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Shishkin mesh
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Schwarz alternating method
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