Isogeometric analysis for surface PDEs with extended Loop subdivision

doi:10.1016/j.jcp.2019.108892

	Isogeometric analysis for surface PDEs with extended Loop subdivision
	Pan, Qing 1; Rabczuk, Timon 2; Xu, Gang 3; Chen, Chong4
	2019-12-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	398 页码:22
摘要	We investigate the isogeometric analysis for surface PDEs based on the extended Loop subdivision approach. The basis functions consisting of quartic box-splines corresponding to each subdivided control mesh are utilized to represent the geometry exactly, and construct the solution space for dependent variables as well, which is consistent with the concept of isogeometric analysis. The subdivision process is equivalent to the h-refinement of NURBS-based isogeometric analysis. The performance of the proposed method is evaluated by solving various surface PDEs, such as surface Laplace-Beltrami harmonic/biharmonic/triharmonic equations, which are defined on the limit surfaces of extended Loop subdivision for different initial control meshes. Numerical experiments show that the proposed method has desirable performance in terms of the accuracy, convergence and computational cost for solving the above surface PDEs defined on both open and closed surfaces. The proposed approach is proved to be second-order accuracy in the sense of L-2-norm with theoretical and/or numerical results, which is also outperformed over the standard linear finite element by several numerical comparisons. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Isogeometric analysis Extended Loop subdivision Surface PDEs
DOI	10.1016/j.jcp.2019.108892
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[11671130] ; Hunan Provincial Natural Science Foundation[2018JJ2248] ; Hunan Provincial Natural Science Foundation[2019JJ50395] ; Open Project Program of the National Laboratory of Pattern Recognition (NLPR) ; Key Research Project of Beijing Natural Science Foundation[Z180002] ; NSFC[61761136010] ; NSFC[61772163] ; Zhejiang Provincial Natural Science Foundation[LR16F020003]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000488000100022
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35961
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Chong
作者单位	1.Hunan Normal Univ, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Changsha 410081, Hunan, Peoples R China 2.Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany 3.Hangzhou Dianzi Univ, Dept Comp Sci, Hangzhou 310018, Zhejiang, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Pan, Qing,Rabczuk, Timon,Xu, Gang,et al. Isogeometric analysis for surface PDEs with extended Loop subdivision[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2019,398:22.
APA	Pan, Qing,Rabczuk, Timon,Xu, Gang,&Chen, Chong.(2019).Isogeometric analysis for surface PDEs with extended Loop subdivision.JOURNAL OF COMPUTATIONAL PHYSICS,398,22.
MLA	Pan, Qing,et al."Isogeometric analysis for surface PDEs with extended Loop subdivision".JOURNAL OF COMPUTATIONAL PHYSICS 398(2019):22.