Smoothing and accelerated computations in the element free Galerkin method

被引：189

作者：

Belytschko, T ^{[1
]}

Krongauz, Y ^{[1
]}

Fleming, M ^{[1
]}

Organ, D ^{[1
]}

Liu, WKS ^{[1
]}

机构：

[1] NORTHWESTERN UNIV,DEPT CIVIL ENGN,EVANSTON,IL 60208

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 74卷 / 1-2期

关键词：

solid mechanics; numerical approximation;

D O I：

10.1016/0377-0427(96)00020-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two topics in the formulation and implementation of meshless methods are considered: the smoothing of the approximating functions at concave boundaries and the speedup of the calculation of the approximating functions and their derivatives. These techniques are described in the context of the element free Galerkin method, but they are applicable to other meshless methods. Results are presented for some elastostatic problems which show a moderate improvement in the accuracy of the smoothed interpolant. The speedup in calculating the shape functions is about a factor of two.

引用

页码：111 / 126

页数：16

共 16 条

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