A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem (Q1378657)
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scientific article; zbMATH DE number 1115500
| Language | Label | Description | Also known as |
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| English | A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem |
scientific article; zbMATH DE number 1115500 |
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A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem (English)
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9 February 1998
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Two results on convergence uniform in the singular perturbation parameter are given for a singularly perturbed linear elliptic boundary value problem in two dimensions. Their error bounds are of order (i) \((\ln N/N)\) in a global energy norm and (ii) \((\ln N)^{3/2}/\sqrt N\) pointwise near the outflow boundary.
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Shishkin mesh
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convection-diffusion problem
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convergence
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singular perturbation
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error bounds
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