| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4634652 | Applied Mathematics and Computation | 2008 | 7 Pages |
Abstract
We consider a control volume (covolume) method for second-order elliptic PDEs with the rotated-Q1 nonconforming finite element on rectangular grids. The coefficient κ may a variable, diagonal tensor, or discontinuous. We prove first-order convergence in H1 norm and second order convergence in L2 norm when the partition is square. Our numerical experiments show that our covolume scheme has about 30% less error than FEM even when κ is discontinuous tensor.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yun K. Hyon, Ho J. Jang, Do Y. Kwak,