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An Overrange Collocation Method
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
APA Style
Guo, Y. (2011). An Overrange Collocation Method. Computer Modeling in Engineering & Sciences, 73(1), 1–22. https://doi.org/10.3970/cmes.2011.073.001
Vancouver Style
Guo Y. An Overrange Collocation Method. Comput Model Eng Sci. 2011;73(1):1–22. https://doi.org/10.3970/cmes.2011.073.001
IEEE Style
Y. Guo, “An Overrange Collocation Method,” Comput. Model. Eng. Sci., vol. 73, no. 1, pp. 1–22, 2011. https://doi.org/10.3970/cmes.2011.073.001

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