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

doi:10.1007/s00211-017-0902-x

	Regular decomposition and a framework of order reduced methods for fourth order problems
	Zhang, Shuo
	2018
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	138 期号:1 页码:241-271
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.
DOI	10.1007/s00211-017-0902-x
语种	英语
资助项目	National Natural Science Foundation of China[11471026] ; National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000419882800008
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29350
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.