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.
Original language | English |
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Pages (from-to) | 804-812 |
Number of pages | 9 |
Journal | Applied Mathematics and Computation |
Volume | 183 |
Issue number | 2 |
DOIs | |
State | Published - Dec 15 2006 |
Keywords
- Fourth-order compact scheme
- General meshsize
- Iterative methods
- Poisson equation
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics