Conformal invariants in simply connected domains

DOI10.1007/s40315-020-00351-8zbMath1459.65035arXiv2001.10182OpenAlexW3096482860MaRDI QIDQ2228047

Mohamed M. S. Nasser, Matti Vuorinen

Publication date: 16 February 2021

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

Full work available at URL: https://arxiv.org/abs/2001.10182

zbMATH Keywords

conformal mappingshyperbolic distanceharmonic measurereduced modulusquadrilateral domains

Mathematics Subject Classification ID

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) Numerical methods in conformal mappings (65E10)

Related Items

Condenser capacity and hyperbolic perimeter ⋮ Isoperimetric properties of condenser capacity ⋮ Approximate method for solving the problem of conformal mapping of an arbitrary polygon to a unit circle ⋮ Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals ⋮ Condenser capacity and hyperbolic diameter ⋮ Level sets of potential functions bisecting unbounded quadrilaterals

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• Algorithm 788
• FMMLIB2D
• GitHub
• CircularMap

Cites Work

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• Algorithm 788: automatic boundary integral equation programs for the planar Laplace equation
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Schwarz-Christoffel Mapping
• Condenser Capacities and Symmetrization in Geometric Function Theory