| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4636643 | Applied Mathematics and Computation | 2006 | 9 Pages |
Abstract
A fourth-order compact difference scheme with unrestricted general meshsizes in different coordinate directions is derived to discretize three-dimensional Poisson equation on a regular cubic domain. The difference scheme derivation procedure makes use of the symbolic representation of the finite difference schemes and is easier to understand in such complex three-dimensional manipulations. We use a preconditioned conjugate gradient method to solve the resulting sparse linear systems and verify the formal order of convergence of the derived fourth-order finite difference scheme.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jie Wang, Weijun Zhong, Jun Zhang,