Least-squares mixed finite element methods for the incompressible magnetohydrodynamic equations
文献类型:期刊论文
作者 | Gao, SQ |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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出版日期 | 2005-05-01 |
卷号 | 23期号:3页码:327-336 |
关键词 | the incompressible magnetohydrodynamic equation vorticity least-squares mixed finite element method |
ISSN号 | 0254-9409 |
英文摘要 | 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. |
语种 | 英语 |
WOS记录号 | WOS:000228808100009 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1820] ![]() |
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.Hebei Univ, Dept Math, Baoding 071002, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, 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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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