Conditions for superconvergence of HDG methods for second-order elliptic problems (Q2894510)
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scientific article; zbMATH DE number 6051339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditions for superconvergence of HDG methods for second-order elliptic problems |
scientific article; zbMATH DE number 6051339 |
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Conditions for superconvergence of HDG methods for second-order elliptic problems (English)
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29 June 2012
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projection-based methods
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optimal convergence
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finite element methods
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second order elliptic problems
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superconvergence
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hybridizable discontinuous Galerkin method
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The authors provide a projection-based analysis of a large class of finite element methods for second order elliptic problems. They obtain sufficient conditions for the optimal convergence of the approximate flux and the superconvergence of an element-by-element postprocessing of the scalar variable. A template for constructing the hybridizable discontinuous Galerkin (HDG) method is also proposed.
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