Optimal shape parameter for the solution of elastostatic problems with the RBF method

被引：0
作者：
Stanislav Simonenko
Victor Bayona
Manuel Kindelan
机构：
[1] Universidad Carlos III,
来源：
Journal of Engineering Mathematics | 2014年 / 85卷
关键词：
Meshless; Radial basis function (RBF); RBF–FD; Shape parameter;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Radial basis functions (RBFs) have become a popular method for the solution of partial differential equations. In this paper we analyze the applicability of both the global and the local versions of the method for elastostatic problems. We use multiquadrics as RBFs and describe how to select an optimal value of the shape parameter to minimize approximation errors. The selection of the optimal shape parameter is based on analytical approximations to the local error using either the same shape parameter at all nodes or a node-dependent shape parameter. We show through several examples using both equispaced and nonequispaced nodes that significant gains in accuracy result from a proper selection of the shape parameter.
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页码：115 / 129
页数：14
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