中文摘要：

In this paper,the improved complex variable moving least-squares (ICVMLS) approximation is presented.The ICVMLS approximation has an explicit physics meaning.Compared with the complex variable moving least-squares (CVMLS) approximations presented by Cheng and Ren,the ICVMLS approximation has a great computational precision and efficiency.Based on the element-free Galerkin (EFG) method and the ICVMLS approximation,the improved complex variable element-free Galerkin (ICVEFG) method is presented for two-dimensional elasticity problems,and the corresponding formulae are obtained.Compared with the conventional EFG method,the ICVEFG method has a great computational accuracy and efficiency.For the purpose of demonstration,three selected numerical examples are solved using the ICVEFG method.

英文摘要：

In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squares （CVMLS） approximations presented by Cheng and Ren, the ICVMLS approximation has a great computational precision and efficiency. Based on the element-free Galerkin （EFG） method and the ICVMLS approximation, the improved complex variable element-free Galerkin （ICVEFG） method is presented for two-dimensional elasticity problems, and the corresponding formulae are obtained. Compared with the conventional EFC method, the ICVEFG method has a great computational accuracy and efficiency. For the purpose of demonstration, three selected numerical examples are solved using the ICVEFG method.