Abstract
A fourth-order compact difference scheme with unequal mesh sizes in different coordinate directions is employed to discretize a two-dimensional Poisson equation in a rectangular domain. Multigrid methods using a partial semicoarsening strategy and line Gauss-Seidel relaxation are designed to solve the resulting sparse linear systems. Numerical experiments are conducted to test the accuracy of the fourth-order compact difference scheme and to compare it with the standard second-order difference scheme. Convergence behavior of the partial semicoarsening and line Gauss-Seidel relaxation multigrid methods is examined experimentally.
| Original language | English |
|---|---|
| Pages (from-to) | 170-179 |
| Number of pages | 10 |
| Journal | Journal of Computational Physics |
| Volume | 179 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jun 10 2002 |
Bibliographical note
Funding Information:1This research was supported by the U.S. National Science Foundation under Grants CCR-9902022, CCR-9988165, and CCR-0092532. 2URL: http://www.cs.uky.edu/∼jzhang.
Keywords
- Fourth-order compact scheme
- Multigrid method
- Poisson equation
- Unequal mesh size
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy (all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics