Mixed finite element methods for geometric modeling using general fourth order geometric flows

doi:10.1016/j.cagd.2008.12.004

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	Mixed finite element methods for geometric modeling using general fourth order geometric flows
	Xu, Guoliang
	2009-05-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	26 期号:4 页码:378-395
摘要	A variational formulation of a general form fourth order geometric partial differential equation is derived, and based on which three versions of the mixed finite element method are developed. Several surface modeling problems, including surface denoising, surface blending, hole filling and surface mesh refinement with the G(1) continuity, are taken into account. The used geometric partial differential equation is universal, containing several well-known geometric partial differential equations as its special cases. The proposed method is general which can be used to construct surfaces for geometric design as well as simulate the behaviors of various geometric partial differential equations. Experimental results show that the method is efficient and gives very desirable results. (C) 2009 Elsevier B.V. All rights reserved.
关键词	Geometric partial differential equation Mixed finite element method Surface denoising Surface blending Hole filling Surface mesh refinement
DOI	10.1016/j.cagd.2008.12.004
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000265813300003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8190
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Guoliang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, Guoliang. Mixed finite element methods for geometric modeling using general fourth order geometric flows[J]. COMPUTER AIDED GEOMETRIC DESIGN,2009,26(4):378-395.
APA	Xu, Guoliang.(2009).Mixed finite element methods for geometric modeling using general fourth order geometric flows.COMPUTER AIDED GEOMETRIC DESIGN,26(4),378-395.
MLA	Xu, Guoliang."Mixed finite element methods for geometric modeling using general fourth order geometric flows".COMPUTER AIDED GEOMETRIC DESIGN 26.4(2009):378-395.