MIXED SCHEMES FOR QUAD-CURL EQUATIONS

doi:10.1051/m2an/2018005

	MIXED SCHEMES FOR QUAD-CURL EQUATIONS
	Zhang, Shuo
	2018-05-04
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	52 期号:1 页码:147-161
摘要	In this paper, mixed schemes are presented for two variants of quad-curl equations. Specifically, stable equivalent mixed formulations for the model problems are presented, which can be discretized by finite elements of low regularity and of low degree. The regularities of the mixed formulations and thus equivalently the primal formulations are established, and some finite elements examples are given which can exploit the regularity of the solutions to an optimal extent.
关键词	Quad-curl equation mixed scheme regularity analysis finite element method
DOI	10.1051/m2an/2018005
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:000431902000002
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30168
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, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Shuo. MIXED SCHEMES FOR QUAD-CURL EQUATIONS[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2018,52(1):147-161.
APA	Zhang, Shuo.(2018).MIXED SCHEMES FOR QUAD-CURL EQUATIONS.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,52(1),147-161.
MLA	Zhang, Shuo."MIXED SCHEMES FOR QUAD-CURL EQUATIONS".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 52.1(2018):147-161.