A new complex variable element-free Galerkin method for two-dimensional potential problems |
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| Authors: | Cheng Yu-Min Wang Jian-Fei Bai Fu-Nong |
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| Affiliation: | a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;b Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China |
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| Abstract: | In this paper, based on the element-free Galerkin (EFG) method and the improved complex variable moving least-square (ICVMLS) approximation, a new meshless method, which is the improved complex variable element-free Galerkin (ICVEFG) method, for two-dimensional potential problems is presented. In the method, the integral weak form of control equations is employed, and the Lagrange multiplier is used to apply the essential boundary conditions. Then the corresponding formulas of the ICVEFG method for two-dimensional potential problems are obtained. Compared with the complex variable moving least-square (CVMLS) approximation proposed by Cheng, the functional in the ICVMLS approximation has an explicit physical meaning. Furthermore, the ICVEFG method has greater computational precision and efficiency. Three numerical examples are given to show the validity of the proposed method. |
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| Keywords: | meshless method improved complex variable moving least-square approximation improved complex variable element-free Galerkin method potential problem |
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