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The Over-Range Collocation Method for Nonlinear Analyses

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Abstract:

In this paper, a forging problem is analyzed by using the overrange collocation method (ORCM), which is a new meshless method. By introducing some collocation points, which are located out 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 overconstrain occurs in partial differential equations on the solved problems.

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Periodical:

Applied Mechanics and Materials (Volumes 300-301)

Pages:

942-949

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.300-301.942

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Online since:

February 2013

Authors:

Yong Ming Guo, Shunpei Kamitani

Keywords:

Collocation Method, Kronecker-Delta Property, Meshless Method, Moving Least-Square Approximation, Over-Range Points, Positivity Conditions

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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