Regular decomposition and a framework of order reduced methods for fourth order problems

doi:10.1007/s00211-017-0902-x

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Regular decomposition and a framework of order reduced methods for fourth order problems
	Zhang, Shuo
刊名	NUMERISCHE MATHEMATIK
	2018
卷号	138 期号:1 页码:241-271
ISSN号	0029-599X
DOI	10.1007/s00211-017-0902-x
英文摘要	This paper is devoted to the construction of order reduced method of fourth order problems. A constructive framework is presented such that a problem on the high-regularity space can be deduced to an equivalent system on three low-regularity spaces which are connected by a regular decomposition corresponding to a decomposition of the regularity of the high order space. The generated numerical schemes based on the deduced problems can be of lower complicacy, and the framework is fit for various fourth order problems. Three fourth order problems are then discussed under the framework, including one in two dimension and two in three dimension. They are each corresponding to a regular decomposition, and thus are discretised based on the discretised analogues of the regular decomposition; optimal error estimates are given.
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000419882800008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29349]
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Shuo
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, 55 Zhongguancun Donglu, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Shuo. Regular decomposition and a framework of order reduced methods for fourth order problems[J]. NUMERISCHE MATHEMATIK,2018,138(1):241-271.
APA	Zhang, Shuo.(2018).Regular decomposition and a framework of order reduced methods for fourth order problems.NUMERISCHE MATHEMATIK,138(1),241-271.
MLA	Zhang, Shuo."Regular decomposition and a framework of order reduced methods for fourth order problems".NUMERISCHE MATHEMATIK 138.1(2018):241-271.