Numerical conformal mapping methods for exterior and doubly connected regions

Conference · Tue Dec 31 00:00:00 EST 1996

OSTI ID:433393

DeLillo, T K ^[1]; Pfaltzgraff, J A ^[2]

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1. Wichita State Univ., KS (United States)
2. Univ. of North Carolina, Chapel Hill, NC (United States)

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.

• Research Organization: Front Range Scientific Computations, Inc., Lakewood, CO (United States)
• DOE Contract Number: FG02-92ER25124
• OSTI ID: 433393
• Report Number(s): CONF-9604167-Vol.1; ON: DE96015306; CNN: Grant OSR-9255223; TRN: 97:000720-0068
• 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.
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
ITERATIVE METHODS
CONFORMAL MAPPING
EIGENVALUES
MATHEMATICAL MODELS