Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4966103 | Engineering Analysis with Boundary Elements | 2016 | 14 Pages |
Abstract
This paper first discusses the inherent instability of the interpolating moving least squares (IMLS) method. In the original IMLS method, non-scaled polynomial bases are used. Theoretical and numerical results indicate that the stability of the original IMLS method decreases as the separation distance decreases. Then, using shifted and scaled polynomial bases, a stabilized algorithm of the IMLS method is proposed and analyzed. As an application, the stabilized IMLS method is finally introduced into the meshless Galerkin boundary node method (GBNM) to produce a stabilized GBNM for potential problems and Stokes problems. Numerical examples are given to demonstrate the stability and convergence of the presented stabilized algorithms.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Xiaolin Li, Qingqing Wang,