W.L. Yang1, Y.F. Nie2, Y.T. Wu1
CMES-Computer Modeling in Engineering & Sciences, Vol.79, No.3&4, pp. 261-270, 2011, DOI: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… More >
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