Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems (Q1907037)
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scientific article; zbMATH DE number 838769
| Language | Label | Description | Also known as |
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| English | Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems |
scientific article; zbMATH DE number 838769 |
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Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems (English)
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16 June 1996
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The Dirichlet problem is considered on a bounded domain in the plane, where the differential equation is a singularly-perturbed, convection-diffusion equation. A finite element method is used, where the basis functions are piecewise linear over triangles and the convection term is upwind weighted. Upper and lower a posteriori error estimates are derived, which are independent of the small parameter.
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convection-dominated elliptic problems
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finite volume method
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singular perturbation
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Dirichlet problem
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convection-diffusion equation
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finite element method
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error estimates
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