Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 65N30
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