基于LSQR法的外部数值保角逆变换计算法  

EXTERNAL NUMERICAL CALCULATION OF CONFORMAL INVERSE TRANSFORM BASED ON LSQR METHOD

作　　者：吕毅斌[1] 王坚[1] 王樱子 吴爽 Lü Yi-bin;WANG Jian;WANG Ying-zi;WU Shuang(School of Science,Kunming University of Science and Technology,Kunming 650500,China;Computer Center,Kunming University of Science and Technology,Kunming 650500,China)

机构地区：[1]昆明理工大学理学院,云南昆明650500 [2]昆明理工大学计算中心,云南昆明650500

出　　处：《数学杂志》2019年第2期287-296,共10页Journal of Mathematics

基　　金：国家自然科学基金资助(11461037)

摘　　要：本文提出了基于模拟电荷法的外部数值保角逆变换计算法.利用LSQR (Least Square QR-factorization)方法来求解基于模拟电荷法的外部数值保角逆变换中的约束方程,得到了电荷量和逆变换半径,进而构造了近似保角逆变换函数.数值实验证明本文提出的算法是有效的.In this paper,a bidirectional method for the numerical conformal mapping of exterior domain is proposed.The LSQR(least square QR-factorization method)is used to solve the approximate inverse conformal mapping of the constraint equations.The maximum modulus theorem for regular function can be used to estimate error.Numerical examples are presented to illustrate the efficiency of the method.

关 键 词：数值保角逆变换 模拟电荷法 LSQR方法 

分 类 号：O241.85[理学—计算数学]