Calculation of resistances for multiply connected domains using Schwarz-Christoffel transformations

DOI10.1007/BF03321884zbMath1253.30021OpenAlexW2071567767MaRDI QIDQ766041

Alan R. Elcrat, Everett H. Kropf, Thomas K. Delillo

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1007/bf03321884

zbMATH Keywords

conformal mappingSchwarz-Christoffel transformationcanonical domains

Mathematics Subject Classification ID

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

Related Items

Computation of conformal invariants, Numerical computation of the capacity of generalized condensers, Numerical computation of a preimage domain for an infinite strip with rectilinear slits, The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains, On capacity computation for symmetric polygonal condensers

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SKPrime

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Schottky-Klein prime function on the Schottky double of planar domains
• Slit maps and Schwarz-Christoffel maps for multiply connected domains
• Schwarz-Christoffel mapping of bounded, multiply connected domains
• Computation of multiply connected Schwarz-Christoffel maps for exterior domains
• Determination of surface and interior cracks from electrostatic measurements using Schwarz-Christoffel transformations
• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• Conformal mappings between canonical multiply connected domains
• Schwarz-Christoffel mapping of multiply connected domains
• Numerical Computation of the Schwarz–Christoffel Transformation for Multiply Connected Domains
• Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions
• Revisiting the Crowding Phenomenon in Schwarz–Christoffel Mapping
• On finding a surface crack from boundary measurements
• Radial and circular slit maps of unbounded multiply connected circle domains
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains