Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems

Details Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems

2010-06-02

arxiv.org/abs/1006.0329v1

Mathematics

Numerical Analysis

25 pages, 11 figures

Scientific paper

The method of fundamental solution (MFS) is an efficient meshless method for solving a boundary value problem 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 and the solvability by these methods are 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.

Affiliated with

Also associated with

No associations

Rating

Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-512666