Boundary-Mapping Parametrization in Isogeometric Analysis  

作　　者：Fang Deng Chao Zeng Jiansong Deng 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,China

出　　处：《Communications in Mathematics and Statistics》2016年第2期203-216,共14页数学与统计通讯（英文）

基　　金：973 Program 2011CB302400;the National Natural Sci-ence Foundation of China(Nos.11371341 and 11426236);the 111 Project(No.b07033).

摘　　要：In isogeometric analysis(IGA),parametrization is an important and difficultissue that greatly influences the numerical accuracy and efficiency of the numericalsolution.One of the problems facing the parametrization in IGA is the existence ofthe singular points in the parametrization domain.To avoid producing singular points,boundary-mapping parametrization is given by mapping the computational domainto a polygon domain which may not be a square domain and mapping each segmentof the boundary in computational domain to a corresponding boundary edge of thepolygon.Two numerical examples in finite element analysis are presented to show thenovel parametrization is efficient.

关 键 词：Isogeometric analysis Finite element analysis PHT-splines PARAMETRIZATION 

分 类 号：O17[理学—数学]