Hierarchical error estimates for finite volume approximation solution of elliptic equations (Q969308)
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scientific article; zbMATH DE number 5704985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hierarchical error estimates for finite volume approximation solution of elliptic equations |
scientific article; zbMATH DE number 5704985 |
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Hierarchical error estimates for finite volume approximation solution of elliptic equations (English)
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6 May 2010
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The paper deals with the derivation of hierarchical a posteriori error estimates for a vertex-centered finite volume method applied to linear second order elliptic partial differential equations. The reliability and efficiency of the hierarchical estimators is assessed, and a saturation-type property related to the finite volume approximation is discussed. Finally a numerical example illustrates the good behavior of the proposed method.
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hierarchical error estimates
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saturation property
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linear second order elliptic equations
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numerical example
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0.92326427
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0.9211729
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0.9209198
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0.91987383
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0.9157758
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0.91547436
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0.9137732
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