A posteriori error analysis for elliptic PDEs on domains with complicated structures (Q1434057)
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scientific article; zbMATH DE number 2077945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori error analysis for elliptic PDEs on domains with complicated structures |
scientific article; zbMATH DE number 2077945 |
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A posteriori error analysis for elliptic PDEs on domains with complicated structures (English)
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1 July 2004
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The authors are concerned with a mixed boundary value problem for the Poisson equation on a triangulated polygonal domain with holes of a size of mesh width at most. They reformulate the whole finite element method for such special domains and carry out some reliable and efficient a posteriori estimations. They pay a lot of attention to the technical difficulties involved in the numerical approximation of the domain and also to their influence on the constants which enter into the estimations.
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Poisson problem
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mixed boundary conditions
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complicated domains
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extension operators
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trace theorems
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Poincare inequalities
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conforming piecewise affine elements
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a posteriori error estimations
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finite element method
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boundary value problem
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0.93302107
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0.9214193
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0.9212618
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0.92028266
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0.9179506
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0.91707087
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