Comparison of multigrid performance for higher order scheme with 5-point scheme

  • Han, Mun. S. (ETRI) ;
  • Kwak, Do Y. (Department of Mathematics KAIST) ;
  • Lee, Jun S. (Department of Mathematics KAIST)
  • Published : 2000.12.31

Abstract

We consider a multigrid algorithm for higher order finite difference scheme for the Poisson problem on rectangular domain. Several smoothers including Jacobi, Red-black Gauss-Seidel are tested and compared. Since higher order scheme gives much more accurate result then 5-point scheme, one may use small number of levels with higher order scheme and thus the overall cost is reduced quite a lot. The numerical experiment compares the two cases.

Acknowledgement

Supported by : Ministry of Science and Technology