Finite element approximation of conformal mappings to unbounded Jordan domains
Finite element approximation of conformal mappings to unbounded Jordan domains
复制标题
无界 Jordan 域的共形映射的有限元近似
DOI：
10.1080/01630563.2013.837482
复制
发表时间：
2014
影响因子：
1.2
通讯作者：
T. Tsuchiya
中科院分区：
文献类型：
--
作者：
K. Kobayashi;T. Tsuchiya;T. Tsuchiya
在二维欧氏空间中，一个单连通的无界区域，其边界是一条约当曲线，称为无界约当区域。本文讨论了从平面单位圆盘到无界Jordan域的共形映射的分片线性有限元逼近。给出了收敛性结果和误差分析。最后给出了数值算例。
In two-dimensional Euclidean space, a simply connected unbounded domain whose boundary is a Jordan curve is called an unbounded Jordan domain. In this article, we discuss a piecewise linear finite element approximation of conformal mappings from the unit disk of the plane to unbounded Jordan domains. Some convergence results and error analysis are presented. Numerical examples are also given.