A meshfree-based local Galerkin method with condensation of degree of freedom

Dean Hu; Yigang Wang; Yangyang LiYuantong GuXu Han

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A meshfree-based local Galerkin method with condensation of degree of freedom

机译：A meshfree-based local Galerkin method with condensation of degree of freedom

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摘要

Condensation technique of degree of freedom is firstly proposed to improve the computational efficiency of meshfree method with Galerkin weak form. In present method, scattered nodes without connectivity are divided into several subsets by cells with arbitrary shape. The local discrete equations are established over each cell by using moving kriging interpolation, in which the nodes that located in the cell are used for approximation. Then, the condensation technique can be introduced into the local discrete equations by transferring equations of inner nodes to equations of boundary nodes based on cell. In the scheme of present method, the calculation of each cell is carried out by meshfree method with Galerkin weak form, and local search is implemented in interpolation. Numerical examples show that the present method has high computational efficiency and convergence, and good accuracy is also obtained.

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来源
《Finite elements in analysis & design》 |2014年第1期|16-24|共9页
作者
Dean Hu; Yigang Wang; Yangyang LiYuantong GuXu Han;
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作者单位

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;

School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia;

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Austral;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Meshfree method; Galerkin weak form; Moving kriging interpolation; Condensation of degree of freedom; Computational efficiency;

A meshfree-based local Galerkin method with condensation of degree of freedom

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