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Unit Setting Method to Impose EBCs in Meshless Methods

W.L. Yang1, Y.F. Nie2, Y.T. Wu1
School of Science, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, China.
Corresponding author. School of Science, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, China. Email: yfnie@nwpu.edu.cn

Computer Modeling in Engineering & Sciences 2011, 79(3&4), 261-270. https://doi.org/10.3970/cmes.2011.079.261

Abstract

Up to now, some methods have been proposed to impose essential boundary conditions (EBCs) in meshless methods to solve partial differential equations system. Based on the theory analysis about moving least square (MLS) approximation and numerical experimentation results, a very simple method to impose EBCs in element-free Galerkin methods, which is the same easy as in finite element methods, is posed here. Compared with Lagrange multiplier method, the new method is simple and gives better results at the distributed nodes. The new method dues to a view point, different from normal understanding, that taking generalized parameters in MLS approximations as the approximate values of the unknown field function at the nodes. This key view point leads to directly using unit setting method or large number setting method in the discrete equations system to impose EBCs in element-free Galerkin (EFG) method.

Keywords

moving least square approximation, generalized parameter, element-free Galerkin method, essential boundary conditions

Cite This Article

Yang, W., Nie, Y., Wu, Y. (2011). Unit Setting Method to Impose EBCs in Meshless Methods. CMES-Computer Modeling in Engineering & Sciences, 79(3&4), 261–270.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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