A boundary integral method applied to a convection-diffusion problem (Q1964117)
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scientific article; zbMATH DE number 1398831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A boundary integral method applied to a convection-diffusion problem |
scientific article; zbMATH DE number 1398831 |
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A boundary integral method applied to a convection-diffusion problem (English)
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10 October 2000
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The author studies boundary integral methods for solving the Dirichlet problem for singularly perturbed convection-diffusion equations in a polygonal domain which are transformed to Helmholtz equations. He formulates several boundary integral equations and obtaines estimates of the single-layer potential operator in dependence of the perturbation parameter. The convergence of Galerkin and Galerkin-Petrov discretizations is discussed and demonstrated using some numerical examples.
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convection-diffusion equations
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singular perturbation
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boundary integral equation
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Galerkin-Petrov scheme
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Dirichlet problem
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Helmholtz equations
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convergence
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numerical examples
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