Minimal consistent finite element space for the biharmonic equation on quadrilateral grids

doi:10.1093/imanum/dry096

CSpace

	Minimal consistent finite element space for the biharmonic equation on quadrilateral grids
	Zhang, Shuo
	2020-04-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	40 期号:2 页码:1390-1406
摘要	This study presents a finite element space comprising piecewise quadratic polynomials on quadrilateral grids. This space provides a minimal-degree consistent discretisation for the biharmonic equation.
关键词	minimal finite element space quadrilateral grid quadratic polynomial biharmonic equation
DOI	10.1093/imanum/dry096
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11871465] ; 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:000537398500020
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51570
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Shuo
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Shuo. Minimal consistent finite element space for the biharmonic equation on quadrilateral grids[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2020,40(2):1390-1406.
APA	Zhang, Shuo.(2020).Minimal consistent finite element space for the biharmonic equation on quadrilateral grids.IMA JOURNAL OF NUMERICAL ANALYSIS,40(2),1390-1406.
MLA	Zhang, Shuo."Minimal consistent finite element space for the biharmonic equation on quadrilateral grids".IMA JOURNAL OF NUMERICAL ANALYSIS 40.2(2020):1390-1406.