浙江大学学报（理学版）2026，Vol.53Issue(2)：161-171,11.DOI:10.3785/j.issn.1008-9497.25114
适合等几何分析的平面参数化初始化生成方法
Initialization generation method for planar parameterization suitable for isogeometric analysis
摘要
Abstract
In isogeometric analysis,high-quality parameterization of computational domains is crucial for ensuring the accuracy and efficiency of numerical solutions.However,when dealing with complex geometric features(such as high-curvature regions or narrow areas),traditional parameterization methods often lead to distortions,self-intersections,or overlaps,significantly compromising subsequent numerical computations.To address this problem,this paper proposes a progressive parameterization method based on intermediate geometries.By constructing a series of transitional geometries between the parametric domain and the target computational domain,the method conducts gradual mapping of the interior control points using mean-value mapping.Additionally,it incorporates existing optimization-based parameterization techniques to refine the intermediate geometries,ensuring that the entire mapping process maintains favorable properties and generates high-quality initial parameterization results for the computational domain.Experimental results demonstrate that the proposed method provides reliable initialization for isogeometric analysis of complex geometries,thereby producing superior parameterization outcomes.关键词
等几何分析/参数化/过渡几何/均值映射Key words
isogeometric analysis/parametrization/transition geometry/mean value mappings分类
信息技术与安全科学引用本文复制引用
郑璇,王志好,李亚娟..适合等几何分析的平面参数化初始化生成方法[J].浙江大学学报（理学版）,2026,53(2):161-171,11.基金项目
国家自然科学青年基金项目(62502139) （62502139）
杭州电子科技大学省属高校基本科研业务费项目(GK249909299001-031). （GK249909299001-031）
