An equilibrated a posteriori error estimator for an interior penalty discontinuous Galerkin approximation of the \(p\)-Laplace problem (Q825913)
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scientific article; zbMATH DE number 7449461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An equilibrated a posteriori error estimator for an interior penalty discontinuous Galerkin approximation of the \(p\)-Laplace problem |
scientific article; zbMATH DE number 7449461 |
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An equilibrated a posteriori error estimator for an interior penalty discontinuous Galerkin approximation of the \(p\)-Laplace problem (English)
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18 December 2021
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The paper deals with the numerical solution of \(p\)-Laplace equation (\(p>1\)) by the interior penalty discontinuous Galerkin method. The equilibrated a posteriori error estimator are derived and the upper bound for the discretization error in the broken \(W^{1,p}\)-norm are proved. The relationship with a residual-type a posteriori error estimator is established as well. Numerical results for a \(L\)-shaped domain illustrate the performance of both estimators.
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interior penalty discontinuous Galerkin method
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\(p\)-Laplace problem
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a posteriori error estimation
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equilibration
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