Numerical conformal mapping to one-tooth gear-shaped domains and applications

DOI10.1007/s40315-015-0149-4zbMath1435.30025arXiv1503.01041OpenAlexW2112266504MaRDI QIDQ291943

R. Michael Porter, Philip R. Brown

Publication date: 10 June 2016

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

Full work available at URL: https://arxiv.org/abs/1503.01041

zbMATH Keywords

Schwarzian derivativeconformal mappingsymmetric multitooth domains

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Schwarz-Christoffel-type mappings (30C30)

Related Items (2)

Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals ⋮ Conformal capacity and polycircular domains

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• GEARLIKE

Cites Work

• On exterior moduli of quadrilaterals and special functions
• Conformal mapping of circular quadrilaterals and Weierstrass elliptic functions
• Robin capacity and extremal length
• Computation of exterior moduli of quadrilaterals
• Numerical calculation of conformal mapping to a disk minus finitely many horocycles
• Conformal Mapping of a Gear Domain with One Tooth
• Conformal mapping of right circular quadrilaterals
• On Moduli of Rings and Quadrilaterals: Algorithms and Experiments
• A Constructive Method for Numerically Computing Conformal Mappings for Gearlike Domains
• Gears, pregears and related domains
• Schwarz-Christoffel Mapping
• Complete Electrode Model of Electrical Impedance Tomography: Approximation Properties and Characterization of Inclusions
• Spectral parameter power series for Sturm–Liouville problems
• Conformal mapping onto polygons bounded by spiral arcs
• Rounding corners of gearlike domains and the omitted area problem
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