TY  - EJOU
AU  - Guo, Y.-M. 

TI  - An Overrange Collocation Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2011
VL  - 73
IS  - 1
SN  - 1526-1506

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

DO  - 10.3970/cmes.2011.073.001