Abstract The present paper deals with the numerical solution of a two-dimensional linear hyperbolic equation by using the element-free Galerkin (EFG) method which is based on the moving least-square approximation for the test and trial functions. A variational method is used to obtain the discrete equations, and the essential boundary conditions are enforced by the penalty method. Compared with numerical methods based on mesh, the EFG method for hyperbolic problems needs only the scattered nodes instead of meshing the domain of the problem. It neither requires any element connectivity nor suffers much degradation in accuracy when nodal arrangements are very irregular. The effectiveness of the EFG method for two-dimensional hyperbolic problems is investigated by two numerical examples in this paper.
Received: 12 February 2009
Revised: 08 April 2009
Accepted manuscript online:
Fund: Project supported by the Natural
Science Foundation of Ningbo, China (Grant Nos 2009A610014,
2009A610154, 2008A610020 and 2007A610050).
Cite this article:
Cheng Rong-Jun(程荣军) and Ge Hong-Xia(葛红霞) Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation 2009 Chin. Phys. B 18 4059
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