An Overrange Collocation Method

作者：Guo Y M^*

来源：Computer Modeling in Engineering & Sciences, 2011, 73(1): 1-22.

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

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.

• 出版日期2011-3