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A novel meshless method based on ridge basis function
SHU Heng-mu1,HUANG Zhao-qin2,LI Cui-wei3
(1. College of Transport & Storage and Civil Engineering in China University of Petroleum, Dongying 257061,Shandong Province, China ;2. College of Petroleum Engineering in China University of Petroleum, Dongying 257061, Shandong Province, China ;3. Technology & Engineering Department of Qingdao Branch Company in SAIC GM Wuling Automobile Co. ,Ltd, Qingdao 266555,Shandong Province, China)
Abstract:
It is difficult to settle essential boundary conditions in meshless method because the meshless approximation functions are not built by interpolation schemes. A new meshless method was presented based on weighted least-square form and ridge basis functions interpolation ( WLSR). WLSR is a pure meshless method only based on nodal information. The results of numerical examples applied to elastostatics are satisfying.
Key words:  meshless method  ridge basis function  weighted least-square method  interpolation shape function  essential boundary condition