A mesh-free method for the variational problem of the point source two-dimensional electric field
LI Jun-Jie1, YAN Jia-Bin2
1. Zhejiang Design Institute of Water Conservancy and Hydroelectric Power, Hangzhou 310002, China;
2. School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
The mesh-free method, as a new numerical method which avoids the mesh generation and possesses the advantages of high precision and simple adaptive analysis, has been widely used in the field of computational mechanics. In this paper, the authors attempt to calculate the point source two-dimensional electric field by using mesh-free method. The moving least square approximation theory is introduced and stiffness matrix of mesh-free method is deduced into shape function structured by moving least squares approximation corresponding to the point source two-dimensional variational problem, and the expression is discretized by Gauss integral containing background grid. At last, the validity of the algorithm is verified by a simple calculation of two-dimensional model.
李俊杰, 严家斌. 点源二维电场变分问题的无网格解法[J]. 物探与化探, 2015, 39(3): 606-609.
LI Jun-Jie, YAN Jia-Bin. A mesh-free method for the variational problem of the point source two-dimensional electric field. Geophysical and Geochemical Exploration, 2015, 39(3): 606-609.
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