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

作　　者：JI Ye WANG Mengyun YU Yingying ZHU Chungang 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China [2]Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province,Dalian 116024,China [3]School of Mathematics,Liaoning Normal University,Dalian 116029,China

出　　处：《Journal of Systems Science & Complexity》2023年第1期53-76,共24页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.12071057,11671068,and 12001327.

摘　　要：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.

关 键 词：Isogeometric analysis parameterization r-adaptive toric surface patches 

分 类 号：O175[理学—数学]