EXTREMAL DISTANCE, HARMONIC MEASURE AND NUMERICAL CONFORMAL MAPPING

被引：5

作者：

DELILLO, TK

PFALTZGRAFF, JA

机构：

[1] WICHITA STATE UNIV,DEPT MATH & STAT,WICHITA,KS 67208

[2] UNIV N CAROLINA,DEPT MATH,CHAPEL HILL,NC 27514

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1993年 / 46卷 / 1-2期

关键词：

NUMERICAL CONFORMAL MAPPING; CROWDING; EXTREMAL LENGTH; HARMONIC MEASURE;

D O I：

10.1016/0377-0427(93)90289-N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Estimates of extremal distance and harmonic measure are used to show how the geometric properties of a simply connected domain influence the boundary distortion of a conformal map from the unit disk to the domain. Numerical examples and remarks on the conditioning of numerical conformal mapping methods are included. A sharp estimate is given of the exponential ill-conditioning, known as the crowding phenomenon, which occurs for slender regions.

引用

页码：103 / 113

页数：11

共 27 条

[1]

Ahlfors L. V., 1973, CONFORMAL INVARIANTS

[2] AHLFORS AND CONFORMAL INVARIANTS [J].