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초록
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.
키워드
covolume method; rotated bilinear finite element method; duality; optimal order; GENERALIZED STOKES PROBLEM; RECTANGULAR GRIDS; EQUATIONS
- 제목
- A nonconforming covolume method for elliptic problems
- 저자
- Hyon, Yun K.; Jang, Ho J.; Kwak, Do Y.
- 발행일
- 2008-02
- 유형
- Article
- 권
- 196
- 호
- 1
- 페이지
- 60 ~ 66