In this paper, we consider the superconvergence of a mixed covolume method on the quasi-uniform triangular grids for the variable coefficient-matrix Poisson equations. The superconvergence estimates between the solution of the mixed covolume method and that of the mixed finite element method have be
Superconvergence of mixed covolume method on quadrilateral grids for elliptic problems
β Scribed by Wanfu Tian; Yonghai Li
- Book ID
- 113082737
- Publisher
- Academy of Mathematics and Systems Science, Chinese Academy of Sciences
- Year
- 2011
- Tongue
- English
- Weight
- 284 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1009-6124
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## Abstract In this paper, we attempt to give analysis of the covolume method for solving general selfβadjoint elliptic problems. We first present some useful superconvergence results for the deviation between the solution of the covolume method and the solution of the induced finite element method
## Abstract We consider the mixed covolume method combining with the expanded mixed element for a system of firstβorder partial differential equations resulting from the mixed formulation of a general selfβadjoint elliptic problem with a full diffusion tensor. The system can be used to model the tr