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

Hu, Dean, Wang, Yigang, Li, Yangyang, Gu, YuanTong, & Han, Xu (2014) A meshfree-based local Galerkin method with condensation of degree of freedom. Finite Elements in Analysis and Design, 78, pp. 16-24.

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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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2 citations in Scopus
2 citations in Web of Science®
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ID Code: 65163
Item Type: Journal Article
Refereed: Yes
Keywords: Meshfree method, Galerkin weak form, Moving kriging interpolation, Condensation of degree of freedom, Computational efficiency
DOI: 10.1016/j.finel.2013.09.004
ISSN: 0168-874X
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Past > QUT Faculties & Divisions > Faculty of Science and Technology
Deposited On: 05 Dec 2013 22:17
Last Modified: 09 Apr 2014 12:20

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