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Title: Numerical conformal mapping methods for exterior and doubly connected regions

Methods are presented and analyzed for approximating the conformal map from the exterior of the disk to the exterior a smooth, simple closed curve and from an annulus to a bounded, doubly connected region with smooth boundaries. The methods are Newton-like methods for computing the boundary correspondences and conformal moduli similar to Fornberg`s method for the interior of the disk. We show that the linear systems are discretizations of the identity plus a compact operator and, hence, that the conjugate gradient method converges superlinearly.
Authors:
 [1] ;  [2]
  1. Wichita State Univ., KS (United States)
  2. Univ. of North Carolina, Chapel Hill, NC (United States)
Publication Date:
OSTI Identifier:
433393
Report Number(s):
CONF-9604167--Vol.1
ON: DE96015306; CNN: Grant OSR-9255223; TRN: 97:000720-0068
DOE Contract Number:
FG02-92ER25124
Resource Type:
Conference
Resource Relation:
Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 1; PB: 422 p.
Research Org:
Front Range Scientific Computations, Inc., Lakewood, CO (United States)
Country of Publication:
United States
Language:
English
Subject:
99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; ITERATIVE METHODS; CONFORMAL MAPPING; EIGENVALUES; MATHEMATICAL MODELS