| The complex variable meshless local Petrov—Galerkin method of solving two-dimensional potential problems |
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| 引用本文： | 杨秀丽,戴保东,张伟伟.The complex variable meshless local Petrov—Galerkin method of solving two-dimensional potential problems[J].中国物理 B,2012,21(10):100208-100208. |
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| 作者姓名： | 杨秀丽 戴保东 张伟伟 |
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| 作者单位： | Department of Engineering Mechanics,Taiyuan University of Science & Technology |
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| 基金项目： | Project supported by the Young Scientists Fund of the National Natural Science Foundation of China （Grant No. 11102125） |
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| 摘 要： | Based on the complex variable moving least-square(CVMLS) approximation and a local symmetric weak form,the complex variable meshless local Petrov-Galerkin(CVMLPG) method of solving two-dimensional potential problems is presented in this paper.In the present formulation,the trial function of a two-dimensional problem is formed with a one-dimensional basis function.The number of unknown coefficients in the trial function of the CVMLS approximation is less than that in the trial function of the moving least-square(MLS) approximation.The essential boundary conditions are imposed by the penalty method.The main advantage of this approach over the conventional meshless local Petrov-Galerkin(MLPG) method is its computational efficiency.Several numerical examples are presented to illustrate the implementation and performance of the present CVMLPG method.
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| 关 键 词： | meshless method complex variable moving least-square method complex variable meshless local Petrov-Galerkin method potential problems |
| 收稿时间： | 2012-02-28 |
The complex variable meshless local Petrov-Galerkin method of solving two-dimensional potential problems |
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| Yang Xiu-Li,Dai Bao-Dong,Zhang Wei-Wei.The complex variable meshless local Petrov-Galerkin method of solving two-dimensional potential problems[J].Chinese Physics B,2012,21(10):100208-100208. |
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| Authors: | Yang Xiu-Li Dai Bao-Dong Zhang Wei-Wei |
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| Institution: | Department of Engineering Mechanics, Taiyuan University of Science & Technology, Taiyuan 030024, China |
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| Abstract: | Based on the complex variable moving least-square (CVMLS) approximation and a local symmetric weak form, the complex variable meshless local Petrov-Galerkin (CVMLPG) method of solving two-dimensional potential problems is presented in this paper. In the present formulation, the trial function of a two-dimensional problem is formed with a one-dimensional basis function. The number of unknown coefficients in the trial function of the CVMLS approximation is less than that in the trial function of the moving least-square (MLS) approximation. The essential boundary conditions are imposed by the penalty method. The main advantage of this approach over the conventional meshless local Petrov-Galerkin (MLPG) method is its computational efficiency. Several numerical examples are presented to illustrate the implementation and performance of the present CVMLPG method. |
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| Keywords: | meshless method complex variable moving least-square method complex variable meshless local Petrov-Galerkin method potential problems |
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