Superconvergence of finite volume element method for elliptic problems
โ Scribed by Tie Zhang
- Book ID
- 120965808
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 312 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1019-7168
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๐ 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.
In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h 3 2 ) under a proper regularity assumption. Finally, a numerical test is g