예조건화 행렬에 따른 다중격자 기법의 수렴성 연구

Effects of Preconditioning Matrices on the Multigrid Convergence

  • 성춘호 (한국과학기술원 항공우주공학전공) ;
  • 김윤식 (한국과학기술원 항공우주공학전공 대학원) ;
  • 권장혁 (한국과학기술원 항공우주공학전공)
  • 발행 : 2001.05.01

초록

In this paper, the convergence characteristics of preconditioned multigrid methods are investigated. The preconditioning method is introduced to reduce the condition number of discrete governing equations. 6 preconditioners including a point, line and diagonalized line solvers are implemented and applied to 2-dimensional inviscid flow problems. Theoretical fourier analyses and numerical results are presented for the preconditioners.

키워드