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

fYear

2010

fDate

8-11 May 2010

Firstpage

827

Lastpage

830

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave and Millimeter Wave Technology (ICMMT), 2010 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-5705-2

Type

conf

DOI

10.1109/ICMMT.2010.5525086

Filename

5525086