Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators (Q993373)
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scientific article; zbMATH DE number 5782761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators |
scientific article; zbMATH DE number 5782761 |
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Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators (English)
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10 September 2010
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This paper is concerned with convergence results for a class of adaptive numerical methods based on \((h-h/2)\)-error estimations. The main result establishes the convergence of the numerical algorithm under some saturation assumptions. It applies to both finite element and to boundary element methods. Also it is shown that in case of finite element method the convergence still holds under weaker saturation assumptions. Various numerical experiments are performed to support the theoretical findings.
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convergence
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algorithm, finite element method
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boundary element method
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error estimations
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numerical experiments
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