Stability and convergence of mixed discontinuous finite element methods for second-order differential problems
β Scribed by Chen, H.; Chen, Z.
- Book ID
- 120137619
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 2003
- Tongue
- English
- Weight
- 235 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1570-2820
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π SIMILAR VOLUMES
## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of secondβorder linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^β norms are derived. Numerical results
In a recent work, Hiptmair [Mathematisches Institut, M9404, 1994] has constructed and analyzed a family of nonconforming mixed finite elements for second-order elliptic problems. However, his analysis does not work on the lowest order elements. In this article, we show that it is possible to constru