Level sets of potential functions bisecting unbounded quadrilaterals

DOI10.1007/s13324-022-00732-3zbMath1502.30031arXiv2206.01316OpenAlexW4308905694MaRDI QIDQ2102460

Samyon R. Nasyrov, Mohamed M. S. Nasser, Matti Vuorinen

Publication date: 28 November 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01316

zbMATH Keywords

conformal mappinghyperbolic geometryquadrilateralpotential functionSchwarz-Christoffel formulaDirichlet-Neumann boundary value problem

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Schwarz-Christoffel-type mappings (30C30) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items

PlgCirMap ⋮ Moduli of quadrilaterals and quasiconformal reflection

Uses Software

• Mathematica
• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• Condenser capacity and hyperbolic perimeter
• Fast and accurate computation of the logarithmic capacity of compact sets
• Conformal invariants in simply connected domains
• Generalized elliptic integrals
• Computation of exterior moduli of quadrilaterals
• Moduli of quadrilaterals and quasiconformal reflection
• On Moduli of Rings and Quadrilaterals: Algorithms and Experiments
• The vectorization of ITPACK 2C
• Schwarz-Christoffel Mapping
• Conformal Mapping via a Density Correspondence for the Double-Layer Potential
• Handbook of Conformal Mappings and Applications
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Conformally Invariant Metrics and Quasiconformal Mappings