Title :
Static-field problems solved by RBF-MLM with natural conformal node distribution
Author :
Lai, Sheng-Jian ; Wang, Bing-Zhong ; Duan, Yong
Author_Institution :
Inst. of Appl. Phys., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
In this paper, MLM based on radial basis functions (MLM-RBF), which is widely applied to solve partial differential equations, is used to solve two dimensional (2D) Poisson equation of the static electric field irregular problem by taking advantage of MLM node random distribution. Three different node distribution schemes for problem boundaries are discussed. Natural conformal node distribution of the RBF-MLM is more easily implemented and computed more accurate field distribution in problem domain. Finally, example of the coaxial line with two circle boundaries is done by RBF-MLM with natural conformal node distribution.
Keywords :
Poisson equation; coaxial cables; interpolation; MLM node random distribution; RBF-MLM; coaxial line; meshless method; natural conformal node distribution; partial differential equations; radial basis functions; static electric field irregular problem; two dimensional Poisson equation; Coaxial components; Distributed computing; Finite difference methods; Grid computing; Mathematics; Maxwell equations; Nonlinear equations; Partial differential equations; Physics; Poisson equations;
Conference_Titel :
Microwave and Millimeter Wave Technology (ICMMT), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5705-2
DOI :
10.1109/ICMMT.2010.5525086
