A meshless Galerkin method with moving least square approximations for infinite elastic solids |
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| Authors: | Li Xiao-Lin and Li Shu-Ling |
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| Affiliation: | College of Mathematics Science, Chongqing Normal University, Chongqing 400047, China |
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| 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. |
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| Keywords: | meshless method Galerkin boundary node method error estimates elasticity |
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