Conjugate function method for numerical conformal mappings

DOI10.1016/j.cam.2012.06.003zbMath1272.30008arXiv1103.4930OpenAlexW2106252965MaRDI QIDQ455862

Harri Hakula, Tri Quach, Antti H. Rasila

Publication date: 22 October 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4930

zbMATH Keywords

conformal modulusquadrilateralscanonical domainsnumerical conformal mappings

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Schwarz-Christoffel-type mappings (30C30)

Related Items (9)

Adaptive reference elements via harmonic extensions and associated inner modes ⋮ Conformal modulus and planar domains with strong singularities and cusps ⋮ Representation of conformal maps by rational functions ⋮ Harmonic shears and numerical conformal mappings ⋮ Improving the accuracy of the charge simulation method for numerical conformal mapping ⋮ A complex variable solution for rectangle pipe jacking in elastic half-plane ⋮ A comparison of some numerical conformal mapping methods for simply and multiply connected domains ⋮ The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames

Uses Software

• Schwarz-Christoffel
• SC Toolbox

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