Refined fully explicit a posteriori residual-based error control (Q2927829)
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scientific article; zbMATH DE number 6365777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Refined fully explicit a posteriori residual-based error control |
scientific article; zbMATH DE number 6365777 |
Statements
4 November 2014
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finite element method
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2D, 3D problems
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adaptive finite element method
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a posteriori error estimation
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reliability
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Poisson problem
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L-shaped domain
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Refined fully explicit a posteriori residual-based error control (English)
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The authors introduce a new explicit residual-based a posteriori error estimator in the context of finite element analysis of second order linear elliptic boundary value problems. The main ingredient in constructing the estimator is the concept of equilibrated fluxes. The estimator contains explicit constants and slightly refines the error control obtained by \textit{A. Veeser} and \textit{R. Verfuert} [SIAM J. Numer. Anal. 47, No. 3, 2387--2405 (2009; Zbl 1195.65158)].
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