Numerical conformal mapping of exterior domains
N. Papamichael,C.A. Kokkinos +1 more
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In this article, the problem of determining approximations to the mapping function which maps conformally the exterior domain Ω = compl (Ω I ∪ ∂Ω) onto the unit disc was considered.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1982-07-01 and is currently open access. It has received 18 citations till now. The article focuses on the topics: Domain (mathematical analysis) & Conformal map.read more
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Journal ArticleDOI
A charge simulation method for the numerical conformal mapping of interior, exterior and doubly-connected domains
TL;DR: In this article, a simple numerical method is described for computing the following three conformal maps; (a) from a domain interior to a closed Jordan curve onto the interior of the unit disk, (b) from an exterior to closed Jordan curves onto the exterior of the units disk, and (c) from the doubly connected domain bounded by two closedJordan curves onto a circular annulus.
Journal ArticleDOI
An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains
D. M. Hough,N. Papamichael +1 more
TL;DR: In this paper, a numerical method based on the integral equation formulation of Symm is described for computing approximations to the mapping functions which accomplish the following conformal maps: (a) the mapping of a domain interior to a closed Jordan curve onto the interior of the unit disc, (b) mapping of an exterior domain exterior to closed Jordan curves onto the exterior of a unit disc.
Book ChapterDOI
Numerical Methods in Conformal Mapping
TL;DR: Complex analysis and in particular conformal mapping (CM) is still an important tool in applied mathematics and the use of high speed computers allows to solve such mapping problems to considerable accuracy.
Journal ArticleDOI
Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
N. Papamichael,M. K. Warby +1 more
TL;DR: In this article, the stability and convergence properties of Bergman kernel methods for the numerical conformal mapping of simply and doubly connected domains are studied. But the authors focus on the stability of the results of Carleman kernels.
References
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Approximate Methods of Higher Analysis
Book
Isoperimetric inequalities in mathematical physics
George Pólya,Gábor Szegő +1 more
TL;DR: Isoperimetric Inequalities in Mathematical Physics (AM-27) as mentioned in this paper is an excellent survey of the literature in this area. But it is not a complete collection.