A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods (Q984897)
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scientific article; zbMATH DE number 5758048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods |
scientific article; zbMATH DE number 5758048 |
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A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods (English)
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20 July 2010
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The paper is concerned with an a posteriori error estimator for the finite element solution of a discontinuous Galerkin method with polynomials of fixed degree. The main term is based on gradient recovery by averaging. There are additional terms due to the nonconformity of the method. Another term measures the deviation of the recovered gradient from an equilibrated flow. Thus ideas from the hypercircle method are hidden here, and the upper bound holds with a constant one for the main term.
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finite elements
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a posteriori error estimator
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discontinuous Galerkin method
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gradient recovery
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