TheC2-convergence of circle packings with bounded degree to the Riemann mapping

DOI10.1080/17476930701466622zbMath1133.52005OpenAlexW1980039287MaRDI QIDQ5448711

Baoqin Huang, Dao-Qing Dai, Shi-Yi Lan

Publication date: 7 March 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701466622

zbMATH Keywords

Riemann mapping\(C^{2}\)-convergencecircle packings with bounded degreehexagonal circle packings

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Circle packings and discrete conformal geometry (52C26)

Cites Work

• Unnamed Item
• Schwarz's lemma for circle packings
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• Second derivatives of circles packings and conformal mappings
• Riemann mapping theorems for Beltrami equations by circle packings
• On the convergence of circle packings to the Riemann map
• Numerical analysis of quasiconformal mappings by circle packings
• Convergence in discrete Cauchy problems and applications to circle patterns

This page was built for publication: TheC²-convergence of circle packings with bounded degree to the Riemann mapping