A Study on Laplace Problems of Infinite Plane with Multiple Circular Holes

Abstract

This paper describes a numerical procedure for solving the Laplace problems of infinite plane with multiple circular holes by using the null-field integral equation, Fourier series and degenerate kernels. The unknown boundary potential and flux are approximated by using the truncated Fourier series. Degenerate kernels are utilized in the null-field integral equation. A linear algebraic system is obtained without boundary discretization. The present method is verified through one example with the exact solution derived by Lebedev et al.