数学物理学报(英文版)

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NUMERICAL ANALYSIS OF QUASICONFORMAL MAPPINGS BY CIRCLE PACKINGS

蓝师义; 戴道清   

  1. 中山大学数学系, 广州 510275
  • 收稿日期:2003-07-14 修回日期:1900-01-01 出版日期:2006-01-20 发布日期:2006-01-20
  • 通讯作者: 戴道清
  • 基金资助:

    This project is supported in part by NSF of China(60575004, 10231040), NSF of GuangDong, Grants from the Ministry of Education of China(NCET-04-0791) and Grants from Sun Yat-Sen University.

NUMERICAL ANALYSIS OF QUASICONFORMAL MAPPINGS BY CIRCLE PACKINGS

Lan Shiyi; Dai Daoqing   

  1. Department of Mathematics, Sun Yat-Sen(Zhongshan) University, Guangzhou 510275, China
  • Received:2003-07-14 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
  • Contact: Dai Daoqing

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摘要：

Thurston proposed that conformal mappings can be approximated by circle packing isomorphisms and the approach can be implemented efficiently. Based on the circle packing methods the rate of convergence of approximating solutions for quasiconformal mappings in the plane is discussed.

关键词: Circle packing, quasiconformal mapping, Beltrami equation, numerical solution

Abstract:

Thurston proposed that conformal mappings can be approximated by circle packing isomorphisms and the approach can be implemented efficiently. Based on the circle packing methods the rate of convergence of approximating solutions for quasiconformal mappings in the plane is discussed.

Key words: Circle packing, quasiconformal mapping, Beltrami equation, numerical solution

中图分类号: 

  • 30C62
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