The complex variable meshless local Petrov–Galerkin method of solving two-dimensional potential problems

doi:10.1088/1674-1056/21/10/100208

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100208-100208.doi: 10.1088/1674-1056/21/10/100208

The complex variable meshless local Petrov–Galerkin method of solving two-dimensional potential problems

杨秀丽, 戴保东, 张伟伟

Department of Engineering Mechanics, Taiyuan University of Science & Technology, Taiyuan 030024, China

收稿日期:2012-02-28 修回日期:2012-03-22 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11102125).

The complex variable meshless local Petrov–Galerkin method of solving two-dimensional potential problems

Yang Xiu-Li (杨秀丽), Dai Bao-Dong (戴保东), Zhang Wei-Wei (张伟伟)

Department of Engineering Mechanics, Taiyuan University of Science & Technology, Taiyuan 030024, China

Received:2012-02-28 Revised:2012-03-22 Online:2012-09-01 Published:2012-09-01
Contact: Dai Bao-Dong E-mail:Dai_baodong@126.com
Supported by:
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11102125).

摘要/Abstract

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.

关键词: meshless method, complex variable moving least-square method, complex variable meshless local Petrov-Galerkin method, potential problems

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.

Key words: meshless method, complex variable moving least-square method, complex variable meshless local Petrov-Galerkin method, potential problems

中图分类号: (Numerical approximation and analysis)

02.60.-x

02.70.Pt (Boundary-integral methods) 02.70.-c (Computational techniques; simulations) 46.25.-y (Static elasticity)

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.

Yang Xiu-Li (杨秀丽), Dai Bao-Dong (戴保东), Zhang Wei-Wei (张伟伟). The complex variable meshless local Petrov–Galerkin method of solving two-dimensional potential problems[J]. Chin. Phys. B, 2012, 21(10): 100208-100208.

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The complex variable meshless local Petrov–Galerkin method of solving two-dimensional potential problems

The complex variable meshless local Petrov–Galerkin method of solving two-dimensional potential problems

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