EXTREMAL DISTANCE, HARMONIC MEASURE AND NUMERICAL CONFORMAL MAPPING

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:46

Article

DELILLO, TK ; PFALTZGRAFF, JA

关键词: NUMERICAL CONFORMAL MAPPING;    CROWDING;    EXTREMAL LENGTH;    HARMONIC MEASURE;   

DOI  :  10.1016/0377-0427(93)90289-N

来源: Elsevier

【 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.

【 授权许可】

Free