基于GMRES（m）法的双连通区域数值保角变换的计算法

摘要

In this paper, we study the GMRES(m) method for numerical conformal mapping based on charge simulation method of doubly-connected domain. In this method, using the GMRES(m) method which limited the number of Krylov subspace’s maximum dimension, the linear equation of charge simulation method is solved, and the approximate conformal mapping function is constructed by using the charges and conformal mapping radius. Numerical results show that the proposed method is effective.%本文研究了基于模拟电荷法的双连通区域的数值保角变换问题。利用限制Krylov 子空间最大维数的算法–GMRES(m)算法，求解基于模拟电荷法的双连通区域数值保角变换中的约束方程，获得了模拟电荷和变换半径，构造了近似保角变换函数。数值实验表明了本文算法的有效性。