Schwarz-Christoffel mapping of bounded, multiply connected domains

DOI10.1007/BF03321615zbMath1125.30003MaRDI QIDQ879654

Thomas K. Delillo

Publication date: 14 May 2007

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

zbMATH Keywords

Schwarz-Christoffel mappingconformal mapping of multiply connected domains

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Schwarz-Christoffel-type mappings (30C30)

Related Items (17)

Radial and circular slit maps of unbounded multiply connected circle domains ⋮ Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups ⋮ Computation of multiply connected Schwarz-Christoffel maps for exterior domains ⋮ Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series ⋮ Schwarz-Christoffel formula for multiply connected domains ⋮ The Schottky-Klein prime function on the Schottky double of planar domains ⋮ Conformal mapping onto a doubly connected circular arc polygonal domain ⋮ Vortex generated fluid flows in multiply connected domains ⋮ Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains ⋮ CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS ⋮ Periodic Schwarz–Christoffel mappings with multiple boundaries per period ⋮ Numerical computation of the conformal map onto lemniscatic domains ⋮ Computing conformal maps of finitely connected domains onto canonical slit domains ⋮ The Schwarz problem in multiply connected domains and the Schottky–Klein prime function ⋮ An analytical formula for the effective conductivity of 2D domains with cracks of high density ⋮ Conformal mappings to multiply connected polycircular arc domains ⋮ Calculation of resistances for multiply connected domains using Schwarz-Christoffel transformations

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• Algorithm 785

Cites Work

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• Computation of multiply connected Schwarz-Christoffel maps for exterior domains
• Schwarz-Christoffel mapping of multiply connected domains
• Schwarz--Christoffel Mapping of the Annulus
• Hele-Shaw flows with time-dependent free boundaries involving a multiply-connected fluid region
• Schwarz-Christoffel Mapping
• Constructing Multiply Connected Quadrature Domains
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains

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