Moving kriging interpolation and element-free Galerkin method

被引:241
作者
Gu, L [1 ]
机构
[1] Ford Motor Co, Ford Res Lab, Dearborn, MI 48124 USA
关键词
mesh-free method; computational mechanics; kriging;
D O I
10.1002/nme.553
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new formulation of the element-free Galerkin (EFG) method is presented in this paper. EFG has been extensively popularized in the literature in recent years due to its flexibility and high convergence rate in solving boundary value problems. However, accurate imposition of essential boundary conditions in the EFG method often presents difficulties because the Kronecker delta property, which is satisfied by finite element shape functions, does not necessarily hold for the EFG shape function. The proposed new formulation of EFG eliminates this shortcoming through the moving kriging (MK) interpolation. Two major properties of the MK interpolation: the Kronecker delta property (phi(I)(s(J)) = delta(IJ)) and the consistency property (Sigma(I)(n)phi(I)(x) = 1 and Sigma(I)(n)phi(I)(x)x(Ii) = x(i)) are proved. Some preliminary numerical results are given. Copyright (C) 2002 John Wiley Sons, Ltd.
引用
收藏
页码:1 / 11
页数:11
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