应用有界度圆填充逼近共形映射

On Conformal Mappings By Circle Packings with Bounded Degree

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摘要对于两个不同单连通区域之间给定的共形映射,可以通过有界度圆填充的方法来构造的逼近解。这个逼近解在经过有界度圆填充的适当规范化后收敛于共形映射。 For the given conformal mappingbetween two different simply connected regions,the approximate solution can be constructed by circle packings with bounded degree.This approximate solution converges toafter suitable normalization of circle packings with bounded degree.

作者黄宝勤刘太河 HUANG Baoqin;LIU Taihe(School of Mathematics and Physics,Anshun University,Anshun 561000,Guizhou,China)

机构地区安顺学院数理学院

出处《安顺学院学报》 2020年第5期116-120,共5页 Journal of Anshun University

基金贵州省科学技术基金项目资助“有界度圆填充上的共形映射”(黔科合LH字[2014]7513)。

关键词有界度圆填充半径函数共形映射收敛性 circle packings with bounded degree radii function conformal mapping convergence

分类号 O174.5 [理学—基础数学]

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应用有界度圆填充逼近共形映射

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