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Curvature-Based r-Adaptive Isogeometric Analysis with Injectivity-Preserving Multi-Sided Domain Parameterization

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Ji Ye 1,2   Wang Mengyun 1,2   Yu Yingying 3   Zhu Chungang 1,2 *  
文摘 Inspired by the r-refinement method in isogeometric analysis,in this paper,the authors propose a curvature-based r-adaptive isogeometric method for planar multi-sided computational domains parameterized by toric surface patches.The authors construct three absolute curvature metrics of isogeometric solution surface to characterize its gradient information,which is more straightforward and effective.The proposed method takes the internal weights as optimization variables and the resulting parameterization is analysis-suitable and injectivity-preserving with a theoretical guarantee.Several PDEs are solved over multi-sided computational domains parameterized by toric surface patches to demonstrate the effectiveness and efficiency of the proposed method.
来源 Journal of Systems Science and Complexity ,2023,36(1):53-76 【核心库】
DOI 10.1007/s11424-022-1293-3
关键词 Isogeometric analysis ; parameterization ; r-adaptive ; toric surface patches
地址

1. School of Mathematical Sciences,Dalian University of Technology, Dalian, 116024  

2. Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province, Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province, Dalian, 116024  

3. School of Mathematics,Liaoning Normal University, Dalian, 116029

语种 英文
文献类型 研究性论文
ISSN 1009-6124
学科 数学;自动化技术、计算机技术
基金 国家自然科学基金
文献收藏号 CSCD:7551064

参考文献 共 38 共2页

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1 Chen Shaoshi Preface to the Special Topic on Computer Mathematics Journal of Systems Science and Complexity,2023,36(1):1-2
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