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An Overrange Collocation Method

Y.-M. Guo 1
1 Kagoshima University, Kagoshima City, Japan

Computer Modeling in Engineering & Sciences 2011, 73(1), 1-22. https://doi.org/10.3970/cmes.2011.073.001

Abstract

In this paper, a new meshless method called the overrange collocation method (ORCM) is proposed. By introducing some collocation points, which are located at outside of domain of the analyzed body, unsatisfactory issue of the positivity conditions of boundary points in collocation methods can be avoided. Because the overrange points are used only in interpolating calculation, no over-constrained condition is imposed into the solved boundary value problems. Poisson's problem and the linear elastic cantilever beam problem are analyzed by using the ORCM.

Keywords

Meshless method, collocation method, overrange points, moving least-square approximation, positivity conditions.

Cite This Article

Guo, Y. (2011). An Overrange Collocation Method. CMES-Computer Modeling in Engineering & Sciences, 73(1), 1–22.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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