Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series

DOI10.1007/s40315-013-0023-1zbMath1283.30012OpenAlexW1982600281MaRDI QIDQ380729

Thomas K. Delillo, Alan R. Elcrat, Everett H. Kropf, John A. Pfaltzgraff

Publication date: 14 November 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-013-0023-1

zbMATH Keywords

conformal mappingLaurent seriesmultiply connected domainsSchwarz-Christoffel transformation

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30)

Related Items

Numerical methods for Riemann-Hilbert problems in multiply connected circle domains ⋮ Potential flow in a multiply connected circle domain using series methods ⋮ Conformal mapping onto a doubly connected circular arc polygonal domain ⋮ Mixed Problem for Laplace’s Equation in an Arbitrary Circular Multiply Connected Domain ⋮ Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains ⋮ Numerical conformal mapping with rational functions ⋮ Periodic Schwarz–Christoffel mappings with multiple boundaries per period ⋮ Numerical computation of the conformal map onto lemniscatic domains ⋮ SERIES SOLUTION OF LAPLACE PROBLEMS ⋮ Computation of plane potential flow past multi-element airfoils using conformal mapping, revisited ⋮ Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SKPrime

Cites Work

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• Schwarz-Christoffel formula for multiply connected domains
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• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
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• Schwarz-Christoffel Mapping
• Radial and circular slit maps of unbounded multiply connected circle domains