A discontinuous Galerkin reduced basis element method for elliptic problems (Q2806036)
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scientific article; zbMATH DE number 6580607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discontinuous Galerkin reduced basis element method for elliptic problems |
scientific article; zbMATH DE number 6580607 |
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A discontinuous Galerkin reduced basis element method for elliptic problems (English)
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13 May 2016
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reduced basis element method
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discontinuous Galerkin method
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domain decomposition
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numerical examples
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finite element method
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stability
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convergence
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This paper deals with a discontinuous Galerkin reduced basis element (DGRBE) which represents in fact a generalization and an improvement of both the reduced basis-domain decomposition-finite element method and the reduced basis hybrid method. The DGRBE approximation is based upon a set of local basis functions that feature nonhomogeneous Neumann boundary conditions.NEWLINENEWLINE The authors prove the well-posedness of the method, its stability and some convergence estimates. Some numerical tests are presented.
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