hp-Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity
✍ Scribed by Paul Houston; Bill Senior; Endre Süli
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 303 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.271
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📜 SIMILAR VOLUMES
In this paper a recently developed approach for the design of adaptive discontinuous Galerkin finite element methods is applied to physically relevant problems arising in inviscid compressible fluid flows governed by the Euler equations of gas dynamics. In particular, we employ (weighted) type I a p
## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^‐ norms are derived. Numerical results
## Abstract We develop the error analysis for the __h__‐version of the discontinuous Galerkin finite element discretization for variational inequalities of first and second kinds. We establish an a priori error estimate for the method which is of optimal order in a mesh dependant as well as __L__^2