Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients (Q1774872)
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scientific article; zbMATH DE number 2165285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients |
scientific article; zbMATH DE number 2165285 |
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Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients (English)
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4 May 2005
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This paper presents a two dimensional singularly perturbed convection-diffusion problem with discontinuous coefficients. The problem is discretized using an inverse-monotone finite volume method on Shishkin meshes. The author establishes first order global pointwise convergence that is uniform with respect to the perturbation parameter. Numerical examples are also provided.
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convection-diffusion problems
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singular perturbation
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uniform convergence
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Shishkin mesh
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discontinuous coefficients
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inverse-monotone finite volume method
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numerical examples
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