Abstract: Two-dimensional boundary value problem of the complex shape boundary is solved by combing the mirror method with conformal mapping method,and thus the distribution of electric field is got.The electric field line and equipotential line maps are plotted by using mathematical software Matlab,the validity of the method is presented.The application range for mirror method is expanded; a novel idea and way is provided for solving the complex shape boundary in two-dimensional boundary value problem.

Key words: mirror method, conformal mapping method, electric field distribution