Abstract
It is difficult to solve conformal mapping functions of complex multi-connected domain. In order to overcome this difficulty, the problem of solving conformal mapping function was transformed into using the charge simulation method to solve a pair of conjugate harmonic functions on the problem domain. Using the proposed method, the linear systems were based on the boundary conditions. Then the charges can be computed by used GMRES(m)(The Generalized Minimal Residual) algorithm to solve the linear systems. The approximate conformal mapping functions are constructed accurately to map the bounded multi-connected domain onto three unbounded canonical slit domains. Numerical results show that the present method is effective.
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