A comparison of some numerical conformal mapping methods for simply and multiply connected domains

DOI10.3934/dcdsb.2018100zbMath1404.30008OpenAlexW2594441931MaRDI QIDQ1756975

Mohamed Badreddine, Saman Sahraei, Thomas K. Delillo

Publication date: 28 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018100

zbMATH Keywords

numerical conformal mappingmultiply connected domainspotential flowosculation methodsFornberg's methodGrassmann's method

Mathematics Subject Classification ID

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

Related Items

Approximate method for solving the problem of conformal mapping of an arbitrary polygon to a unit circle ⋮ Computation of plane potential flow around multi-element airfoils using the Schottky-Klein prime function ⋮ The Szegö kernel and oblique projections: conformal mapping of non-smooth regions ⋮ Computation of potential flow in multiply connected domains using Conformal mapping ⋮ Numerical conformal mapping with rational functions ⋮ Representation of conformal maps by rational functions ⋮ Computation of plane potential flow past multi-element airfoils using conformal mapping, revisited ⋮ Conformal capacity and polycircular domains

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• CircularMap

Cites Work

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