A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems (Q2855093)
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scientific article; zbMATH DE number 6219389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems |
scientific article; zbMATH DE number 6219389 |
Statements
24 October 2013
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discontinuous Petrov-Galerkin methods
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well-posedness
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Friedrichs' systems
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inf-sup condition
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consistency
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stability
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convergence
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A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems (English)
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The authors propose a unified framework for the discontinuous Petrov-Galerkin (DPG) method based on Friedrichs-like systems, which embrace a large class of elliptic, parabolic and hyperbolic partial differential equations. The existence, uniqueness and stability of the PDG solution is established corresponding to two different, but equivalent, norms.
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