Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem (Q2719215)
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scientific article; zbMATH DE number 1608878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem |
scientific article; zbMATH DE number 1608878 |
Statements
21 June 2001
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convection-diffusion equation
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quasi-linear problem
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singular perturbation
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finite difference scheme
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upwind scheme
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central difference scheme
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a posteriori error estimate
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layer-adapted mesh
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grid equidistribution
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exponential boundary layer
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Maximum norm a posteriori error estimates for a one-dimensional convection-diffusion problem (English)
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This paper gives maximum norm error estimates, uniform in the perturbation parameter, for variable step first- and second-order finite difference schemes when solving singularly perturbed quasi-linear two point boundary value problems with an exponential boundary layer. Numerical results are presented which confirm the theoretical analysis.
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