Least-squares mixed finite element methods for the incompressible magnetohydrodynamic equations

CSpace

	Least-squares mixed finite element methods for the incompressible magnetohydrodynamic equations
	Gao, SQ
	2005-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	23 期号:3 页码:327-336
摘要	Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities axe additionally introduced as independent variables in order that the primal equations axe transformed into the first-order systems. We show that there hold the coerciveness and the optimal error bound in appropriate norms for all variables under consideration, which can be approximated by all kinds of continuous element. Consequently, the Babuska-Brezzi condition (i.e. the inf-sup condition) and the indefiniteness are avoided which are essential features of the classical mixed methods.
关键词	the incompressible magnetohydrodynamic equation vorticity least-squares mixed finite element method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000228808100009
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1821
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, SQ
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China 2.Hebei Univ, Dept Math, Baoding 071002, Peoples R China
推荐引用方式 GB/T 7714	Gao, SQ. Least-squares mixed finite element methods for the incompressible magnetohydrodynamic equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2005,23(3):327-336.
APA	Gao, SQ.(2005).Least-squares mixed finite element methods for the incompressible magnetohydrodynamic equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,23(3),327-336.
MLA	Gao, SQ."Least-squares mixed finite element methods for the incompressible magnetohydrodynamic equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 23.3(2005):327-336.