Robust DPG method for convection-dominated diffusion problems (Q2870615)
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scientific article; zbMATH DE number 6248268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust DPG method for convection-dominated diffusion problems |
scientific article; zbMATH DE number 6248268 |
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21 January 2014
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convection-dominated diffusion problems
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\(hp\)-adaptivity
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discontinuous Petrov-Galerkin method
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error estimates
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stability
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numerical experiments
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0.96910906
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0.93894637
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0.92729414
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0.9205152
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0.9185436
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0.90478504
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0.9014818
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0.89958346
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0.8990356
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Robust DPG method for convection-dominated diffusion problems (English)
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The discontinuous Petrov-Galerkin (DPG) method is proposed for convection-dominated diffusion problems. The proposed method is analyzed. Robust \(L^2\) error estimates are provided. The test functions for the Petrov-Galerkin method are constructed by a variational formulation. The stability analysis of the adjoint problem is studied. The robustness of the method is supported by numerical experiments.
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