2011年7月
Mathematical and numerical studies on meshless methods for exterior unbounded domain problems
JOURNAL OF COMPUTATIONAL PHYSICS
- ,
- 巻
- 230
- 号
- 17
- 開始ページ
- 6900
- 終了ページ
- 6915
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jcp.2011.05.017
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
The method of fundamental solutions (MFS) is an efficient meshless method for solving boundary value problems in an exterior unbounded domain. The numerical solution obtained by the MFS is accurate, while the corresponding matrix equation is ill-conditioned. A modified MFS (MMFS) with the proper basis functions is proposed by the introduction of the modified Trefftz method (MTM). The concrete expressions of the corresponding condition numbers are given in mathematical forms and the solvability by these methods is mathematically proven. Thereby, the optimal parameter minimizing the condition number is also mathematically given. Numerical experiments show that the condition numbers of the matrices corresponding to the MTM and the MMFS are reduced and that the numerical solution by the MMFS is more accurate than the one by the conventional method. (C) 2011 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.jcp.2011.05.017
- ISSN : 0021-9991
- Web of Science ID : WOS:000293034800025