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Mathematical Problems in Engineering
Volume 2012, Article ID 298903, 16 pages
Research Article

Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method

College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China

Received 9 February 2012; Accepted 2 April 2012

Academic Editor: Kue-Hong Chen

Copyright © 2012 Xiaolin Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Combining the hybrid displacement variational formulation and the radial basis point interpolation, a truly meshless and boundary-only method is developed in this paper for the numerical solution of solid mechanics problems in two and three dimensions. In this method, boundary conditions can be applied directly and easily. Besides, it is truly meshless, that is, it only requires nodes generated on the boundary of the domain, and does not require any element either for variable interpolation or for numerical integration. Some numerical examples are presented to demonstrate the efficiency of the method.