Meshless methods: A review and computer implementation aspects

被引：983
作者：
Nguyen, Vinh Phu
Rabczuk, Timon [2 ]
Bordas, Stephane [1 ]
Duflot, Marc [3 ]
机构：
[1] Univ Glasgow, Glasgow G12 8LT, Lanark, Scotland
[2] Univ Canterbury, Dept Mech Engn, Christchurch 1, New Zealand
[3] CENAERO, B-6041 Gosselies, Belgium
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 79卷 / 03期
关键词：
Meshless methods; Intrinsic enrichment; Extrinsic discontinuities; Computer implementation; MATLAB;
D O I：
10.1016/j.matcom.2008.01.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：763 / 813
页数：51
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