An improved complex variable element-free Galerkin method for two-dimensional elasticity problems

作者：Bai Fu-Nong; Li Dong-Ming; Wang Jian-Fei; Cheng Yu-Min^*

来源：Chinese Physics B, 2012, 21(2): 020204.

DOI：10.1088/1674-1056/21/2/020204

• meshless method
• improved complex variable moving least-squares approximation
• improved complex variable element-free Galerkin method
• elasticity

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.

• 出版日期2012-2
• 单位上海大学