Numerical conformal mappings onto the linear slit domain

被引：0
作者：
Kaname Amano
Dai Okano
Hidenori Ogata
Masaaki Sugihara
机构：
[1] Ehime University,Department of Electrical and Electronic Engineering and Computer Science, Graduate School of Science and Engineering
[2] The University of Electro-Communications,Department of Communication Engineering and Informatics, Graduate School of Informatics and Engineering
[3] The University of Tokyo,Department of Mathematical Informatics, Graduate School of Information Science and Technology
来源：
Japan Journal of Industrial and Applied Mathematics | 2012年 / 29卷
关键词：
Conformal mapping; Multiply connected domain; Potential flow; Charge simulation; Fundamental solution; 30C30; 65E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a numerical method for the conformal mapping of unbounded multiply connected domains exterior to closed Jordan curves C1, . . . ,Cn onto a canonical linear slit domain, which is the entire plane with linear slits S1, . . . , Sn of angles θ1, . . . , θn arbitrarily assigned to the real axis, respectively. If θ1 = · · · = θn = θ then it is the well-known parallel slit domain, which is important in the problem of potential flows past obstacles. In the method, we reduce the mapping problem to a boundary value problem for an analytic function, and approximate it by a linear combination of complex logarithmic functions based on the charge simulation method. Numerical examples show the effectiveness of our method.
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页码：165 / 186
页数：21
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