2000年8月
Wavelet BEMのためのマルチグリッド反復法
土木学会応用力学論文集
- ,
- ,
- 巻
- 3
- 号
- 開始ページ
- 157
- 終了ページ
- 166
- 記述言語
- 日本語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2208/journalam.3.157
- 出版者・発行元
- 土木学会
Multigrid algorithm is developed for wavelet BEM. Since the wavelet bases have hierarchical structure, in the wavelet BEM using the wavelet bases as its functional bases, coefficient matrix and vectors include submatrix and subvector corresponding to each resolution level. Hence, one can readily apply the multigrid method to wavelet BEM. In this paper, V-, Sawtooth-, and FMV-cycles are considered. Numerical experiments show that these methods improve the convergence of iterative solution. As the iterative methods, Jacobi, Bi-CG, and GMRES methods are employed. It is found that the multigrid method can be an effective strategy for enhancement of convergence and stability of these iterative methods.
- リンク情報
- ID情報
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- DOI : 10.2208/journalam.3.157
- ISSN : 1345-9139
- CiNii Articles ID : 120005359161
- CiNii Books ID : AA12492021