A meshless Galerkin method with moving least square approximations for infinite elastic solids

doi:10.1088/1674-1056/22/8/080204

Abstract Combining moving least square approximations and boundary integral equations, a meshless Galerkin method, which is the Galerkin boundary node method (GBNM), for two-and three-dimensional infinite elastic solid mechanics problems with traction boundary conditions is discussed. In this numerical method, the resulting formulation inherits the symmetry and positive definiteness of variational problems, and boundary conditions can be applied directly and easily. A rigorous error analysis and convergence study for both displacement and stress is presented in Sobolev spaces. The capability of this method is illustrated and assessed by some numerical examples.

Keywords: meshless method Galerkin boundary node method error estimates elasticity

Received: 15 January 2013
Revised: 04 March 2013
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	46.25.-y	(Static elasticity)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11101454) and the Natural Science Foundation of Chongqing CSTC (Grant No. cstc2011jjA30003).

Corresponding Authors: Li Xiao-Lin
E-mail: lxlmath@163.com

Cite this article:

Li Xiao-Lin (李小林), Li Shu-Ling (李淑玲) A meshless Galerkin method with moving least square approximations for infinite elastic solids 2013 Chin. Phys. B 22 080204

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A meshless Galerkin method with moving least square approximations for infinite elastic solids

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