Title :
Point Collocation Mesh-Free Method Using FMLSRKM for Solving Axisymmetric Laplace Equation
Author :
Lee, Chany ; Kim, Do Wan ; Park, Sang-Hun ; Kim, Hong-Kyu ; Im, Chang-Hwan ; Jung, Hyun-Kyo
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul
fDate :
6/1/2008 12:00:00 AM
Abstract :
In this paper, the fast moving least square reproducing kernel method (FMLSRKM) for solving the axisymmetric Laplace problem is proposed. To maximize the advantages of FMLSRKM, a point collocation scheme is used. The accuracy of the proposed method is verified by applying it to a test electrostatic model with analytic solution, and the electric potential distribution in the arc region of a gas circuit breaker is also analyzed as a practical application.
Keywords :
Laplace equations; electric potential; gas blast circuit breakers; least squares approximations; FMLSRKM; arc region; axisymmetric Laplace equation; electric potential distribution; electrostatic model; fast moving least square reproducing kernel method; gas circuit breaker; mesh-free method; point collocation; Axisymmetric; fast moving least square reproducing kernel method (FMLSRKM); gas circuit breaker; mesh-free;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.914859
