Regular decomposition and a framework of order reduced methods for fourth order problems | |
Zhang, Shuo![]() | |
刊名 | NUMERISCHE MATHEMATIK
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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. |
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