A nonconforming covolume method for elliptic problems
We consider a control volume (covolume) method for second-order elliptic PDEs with the rotated-Q(1) nonconforming finite element on rectangular grids. The coefficient K may a variable, diagonal tensor, or discontinuous. We prove first-order convergence in H-1 norm and second order convergence in L-2 norm when the partition is square. Our numerical experiments show that our covolume scheme has about 30% less error than FEM even when K is discontinuous tensor. (C) 2007 Elsevier Inc. All rights reserved.
- Publisher
- ELSEVIER SCIENCE INC
- Issue Date
- 2008-02
- Language
- English
- Article Type
- Article
- Keywords
GENERALIZED STOKES PROBLEM; RECTANGULAR GRIDS; EQUATIONS
- Citation
APPLIED MATHEMATICS AND COMPUTATION, v.196, no.1, pp.60 - 66
- ISSN
- 0096-3003
- Appears in Collection
- MA-Journal Papers(저널논문)
- Files in This Item
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