open access

https://hdl.handle.net/2115/5898

Convergence of multigrid method for edge-based finite-element method

英語

2003-05

IEEE

IEEE TRANSACTIONS ON MAGNETICS

39(3)

1674-1676

This paper discusses robustness of the multigrid (MG) method against distortion of finite elements. The convergence of MG method becomes considerably worse as the finite elements become flat. It is shown that the smoother used in the MG method cannot effectively eliminate the high-frequency component of the residue for flat elements, and this gives rise to deterioration in the convergence. Moreover, the multigrid method with conjugate gradient (CG) smoother is shown to be more robust against mesh distortion than that with Gauss-Seidel smoother.

学術雑誌論文

Version of Record

© 2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.” IEEE, IEEE TRANSACTIONS ON MAGNETICS, Volume 39, Issue 3, 2003 Page(s):1674 - 1676

0018-9464