数学物理学报(英文版)

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NEGATIVE NORM LEAST-SQUARES METHODS FOR THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS

高少芹; 段火元   

  1. 河北大学数学与计算机学院, 保定 071002
  • 收稿日期:2005-08-10 修回日期:2006-09-23 出版日期:2008-07-20 发布日期:2008-07-20
  • 通讯作者: 高少芹
  • 基金资助:

    This work was supported by the National Basic Research Program of China (2005CB321701) and NSF of mathematics research special fund of Hebei Province (08M005)

NEGATIVE NORM LEAST-SQUARES METHODS FOR THE INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS

Gao Shaoqin; Duan Huoyuan   

  1. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
    Mathematical Research Center of Hebei Province, Shijiazhuang 050016, China
  • Received:2005-08-10 Revised:2006-09-23 Online:2008-07-20 Published:2008-07-20
  • Contact: Gao Shaoqin

摘要:

The purpose of this article is to develop and analyze least-squares
approximations for the incompressible magnetohydrodynamic equations. The major advantage of the least-squares finite element method is that it is not subjected to the so-called Ladyzhenskaya-Babuska-Brezzi (LBB) condition. The authors employ least-squares functionals which involve a discrete inner product which is related to the inner product in H-1(\Omega).

关键词: The incompressible MHDs equation, negative norm, vorticity, least-squares mixed finite element method

Abstract:

The purpose of this article is to develop and analyze least-squares
approximations for the incompressible magnetohydrodynamic equations. The major advantage of the least-squares finite element method is that it is not subjected to the so-called Ladyzhenskaya-Babuska-Brezzi (LBB) condition. The authors employ least-squares functionals which involve a discrete inner product which is related to the inner product in H-1(\Omega).

Key words: The incompressible MHDs equation, negative norm, vorticity, least-squares mixed finite element method

中图分类号: 

  • 65N30