Application of Radial Basis Function-Virtual Boundary Method in Electromagnetic Computation
Zhang Huaiqing1, Nie Xin1, Wang Yawei2, Fu Zhihong1
1.State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University, Chongqing 400044 China; 2.Shanghai Jiao Tong University, Shanghai 200240 China
Abstract：With the concept of virtual boundary in elasticity, the paper combines radial basis function (RBF) method and traditional boundary element method (BEM) to form the RBF-virtual boundary method, and applies it to the numerical computation of electromagnetic field. The method not only has the advantages of traditional boundary element method, but also solves the problem of dependence on meshes and low accuracy of interpolation function in BEM. With the help of virtual boundary, the method effectively avoids the problems of singular integral and boundary effect which are associated with other boundary type numerical methods. What’s more, through the choice of round virtual boundary, the method completely avoids the dependence on meshes, so it is a real meshless boundary type method. The results show that the method has higher accuracy than traditional BEM.
张淮清, 聂鑫, 王亚伟, 付志红. 径向基函数-虚边界法在电磁计算中的应用[J]. 电工技术学报, 2014, 29(4): 79-84.
Zhang Huaiqing, Nie Xin, Wang Yawei, Fu Zhihong. Application of Radial Basis Function-Virtual Boundary Method in Electromagnetic Computation. Transactions of China Electrotechnical Society, 2014, 29(4): 79-84.
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