N. Atluri and T. Zhu, Computational Mechanics 22, 117 (2000). N. Atluri and T. Zhu, Computer Modeling and Simulation in Engineering 3(3), 187 (1998). Atluri, The Meless Method (MLPG) for Domain & BIE Discretization ( Tech Science Pree, USA, 2004 ). TICAM Report 95-05, University of Texas at Austin. Hp clouds-meshless method to solve boundary value problems. Finally, the major technical issues in meshfree methods are discussed, and the future development of meshfree methods is addressed.
Third, several typical meshfree methods are introduced and compared with each others in terms of their accuracy, convergence and effectivity. Second, the methods for constructing meshfree shape functions are discussed, and the interpolation qualities of them are also studied using the surface fitting. First, categories of meshfree methods are introduced. In this paper, a detailed discussion will be provided on the development of meshfree methods. In the meantime, meshfree methods are being applied to a growing number of practical engineering problems. Increasing number of researchers are devoting themselves to the research of the meshfree methods, and a group of meshfree methods have been proposed and used to solve the ordinary differential equations (ODEs) or the partial differential equations (PDE). In recent years, one of the hottest topics in computational mechanics is the meshfree or meshless method.
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