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A nonconforming covolume method for elliptic problems
- Authors
- Hyon, Yun K.; Jang, Ho J.; Kwak, Do Y.
- Issue Date
- Feb-2008
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- covolume method; rotated bilinear finite element method; duality; optimal order
- Citation
- APPLIED MATHEMATICS AND COMPUTATION, v.196, no.1, pp.60 - 66
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS AND COMPUTATION
- Volume
- 196
- Number
- 1
- Start Page
- 60
- End Page
- 66
- ISSN
- 0096-3003
- Abstract
- 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.
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