Liu G R 2009 Meshfree Methods: Moving Beyond the Finite Element Method (Boca Raton: CRC Press) B 26 030203Ĭheng Y M 2015 Meshless Methods (Beijing: Science Press) (in Chinese) Yao-Zong Tang(唐耀宗), Xiao-Lin Li(李小林) Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems 2017 Chin. cstc2015jcyjBX0083), and the Educational Commission Foundation of Chongqing City, China (Grant No. 11471063), the Chongqing Research Program of Basic Research and Frontier Technology, China (Grant No. (Ordinary and partial differential equations boundary value problems)įund: Project supported by the National Natural Science Foundation of China (Grant No. (Numerical simulation solution of equations) Keywords: meshless method moving least squares approximation element-free Galerkin method error estimate Finally, numerical examples are given to verify the theoretical analysis. Then, analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems. Abstract We first give a stabilized improved moving least squares (IMLS) approximation, which has better computational stability and precision than the IMLS approximation.
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