基于修正Gram-Schmidt法的双连通区域数值保角逆变换计算法  

The Modified Gram-Schmidt Method for Numerical Inverse Conformal Mapping of Double Connected Domain

作　　者：王坚 Wang Jian(Xingzhi College of Xi'an University of Finance and Economics,Shaanxi Xi'an 710038)

机构地区：[1]西安财经大学行知学院,陕西西安710038

出　　处：《科技风》2024年第17期161-164,共4页

摘　　要：研究基于模拟电荷法的双连通区域的数值保角逆变换问题。利用修正Gram-Schmidt法求解双连通区域数值保角逆变换中的约束方程组,解得模拟电荷量和逆变换半径,构造出近似保角逆变换函数。通过数值实验验证算法的有效性。The problem of numerical conformal inverse transformation in the doubly connected region based on the simulated charge method is studied.The modified Gram-Schmidt method is used to solve the constraint equations in the numerical conformal mapping inverse transformation in the doubly connected region.The simulated charge quantity and the radius of the inverse transformation are solved,and the approximate conformal mapping inverse transformation function is constructed.The effectiveness of the algorithm is verified by numerical experiments.

关 键 词：模拟电荷法 数值保角逆变换 修正Gram-Schmidt法 双连通区域 

分 类 号：O241.85[理学—计算数学]