The complex variable meshless local Petrov-Galerkin method of solving two-dimensional pote

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

potential problems

Yang Xiu-Li;Dai Bao-Dong;Zhang Wei-Wei

【期刊名称】《中国物理：英文版》 【年(卷),期】2012(021)010

【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 PetrovGalerkin (MLPG) method is its computational efficiency.Several numerical examples are presented to illustrate the implementation and performance of the present CVMLPG method.

【总页数】7页(49-55) 【关键词】