Point Collocation Mesh-Free Method Using FMLSRKM for Solving Axisymmetric Laplace Equation

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.