Computation of conformal invariants

DOI10.1016/j.amc.2020.125617zbMath1474.65060arXiv1908.04533OpenAlexW3082535166MaRDI QIDQ2660375

Mohamed M. S. Nasser, Matti Vuorinen

Publication date: 30 March 2021

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

Full work available at URL: https://arxiv.org/abs/1908.04533

zbMATH Keywords

boundary integral equationsnumerical conformal mappingconformal capacityhyperbolic capacityelliptic capacity

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) Numerical methods in conformal mappings (65E10)

Related Items

Conformal moduli of symmetric circular quadrilaterals with cusps ⋮ Condenser capacity and hyperbolic perimeter ⋮ Isoperimetric properties of condenser capacity ⋮ Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals ⋮ Numerical computation of a preimage domain for an infinite strip with rectilinear slits ⋮ Conformal invariants in simply connected domains ⋮ Conformal modulus of the exterior of two rectilinear slits ⋮ Condenser capacity and hyperbolic diameter ⋮ Conformal capacity and polycircular domains ⋮ Conformal capacity of hedgehogs

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• DLMF
• FMMLIB2D

Cites Work

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