A second order Cartesian finite volume method for elliptic interface and embedded Dirichlet problems
β Scribed by Latige, M.; Colin, T.; Gallice, G.
- Book ID
- 120656366
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 947 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0045-7930
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper derives a superconvergence result for finite volume approximations of the second order elliptic problem by using a L 2 projection post-processing technique. The superconvergence result is applicable to different kind of finite volume methods and to general quasi-uniform meshes.
## 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