Schwarz-Christoffel mappings: A General approach

A general method is developed for constructing equations of the Schwarz-Christoffel type. These equations define conformal transformations between regions of the complex plane, each of whose boundaries may consist of straight or continuously curved line segments and corners. The more familiar types...

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Bibliographic Details
Published in:Journal of computational physics 1987-10, Vol.72 (2), p.347-371
Main Authors: Floryan, J.M, Zemach, Charles
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Physics
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Summary:A general method is developed for constructing equations of the Schwarz-Christoffel type. These equations define conformal transformations between regions of the complex plane, each of whose boundaries may consist of straight or continuously curved line segments and corners. The more familiar types of Schwarz-Christoffel equations are rederived; and some new types are obtained.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(87)90087-8