A coupled element-free Galerkin-radial point interpolation method
One of major difficulties in the implementation of meshfree methods using the moving least square (MLS)approximation is the imposition of essential boundary conditions as the approximations do not pass through the nodalparameter values. As a consequence, the imposition of essential boundary conditions in these meshfree methods isquite awkward. Another class of meshfree methods based on the radial basis point interpolation can satisfy the essentialboundary conditions exactly since its approximation function passes through each node in an influence domain andthus its shape functions are of delta function properties. In this paper, a coupled element-free Galerkin(EFG)-radialpoint interpolation method (RPIM) is proposed to exploit their advantages while avoiding their disadvantages.Discretized equations of equilibrium are obtained in the RPIM region and the EFG region, respectively. Then acollocation approach is introduced to couple the RPIM and the EFG method. The basic idea is to evaluate the realvalue of the nodes at the interface between the RPIM and the EFG regions using the MLS approximation for EFG andthen assign this value to the RPIM nodal set. This method satisfies the linear consistency exactly. Numerical tests showthat this method gives reasonably accurate results consistent with the theory.
Meshfree method Moving least-squares (MLS) approximation Radial point interpolation method (RPIM) Coupled method Collocation approach
Cao Yang Yao Linquan Jiang Meiqun
School of Mathematical Sciences ,Soochow University, Suzhou 215006 China School of Mathematical Sciences ,Soochow University, Suzhou 215006 China School of Urban Rail Transp
国内会议
哈尔滨
英文
1-20
2011-08-22（万方平台首次上网日期，不代表论文的发表时间）