A hybrid of finite analytic and multi-grid method for calculating electric field distribution

In this paper, the Finite Analytic concept is introduced for calculating the electric field distribution. To express the relationship between central potential and vertex potentials on a grid, the exponential function is adopted instead of the series function in conventional Finite Analytic Method (FAM). On this consideration, the finite analytic equation for electric field calculation is deduced. And aiming at accelerating the computational convergence, the improved FAM is combined with Multi-grid Method and the body fitting grids are generated at each divided subregion for generating the regular grids and for distinguishing the fine grids and coarse grids.