Boundary-Mapping Parametrization in Isogeometric Analysis

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• 作者：Fang Deng ; Chao Zeng ; Jiansong Deng
• 刊名：Communications in Mathematics and Statistics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：4
• 期：2
• 页码：203-216
• 全文大小：1,647 KB
• 刊物主题：Mathematics, general; Statistics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：2194-671X
• 卷排序：4

文摘

In isogeometric analysis (IGA), parametrization is an important and difficult issue that greatly influences the numerical accuracy and efficiency of the numerical solution. One of the problems facing the parametrization in IGA is the existence of the singular points in the parametrization domain. To avoid producing singular points, boundary-mapping parametrization is given by mapping the computational domain to a polygon domain which may not be a square domain and mapping each segment of the boundary in computational domain to a corresponding boundary edge of the polygon. Two numerical examples in finite element analysis are presented to show the novel parametrization is efficient.KeywordsIsogeometric analysisFinite element analysisPHT-splinesParametrization