full
search.png

Search

close.png

Cancel

arrow
Volume 23, Issue 3
Least-Squares Mixed Finite Element Methods for the Incompressible Magnetohydrodynamic Equations

Shao-Qin Gao

J. Comp. Math., 23 (2005), pp. 327-336.

Published online: 2005-06

Preview Full PDF 2369 25511

Cited by

google scholar semantic scholar
Export citation
  • Abstract

Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variables in order that the primal equations are 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 Babuška-Brezzi condition (i.e. the inf-sup condition) and the indefiniteness are avoided which are essential features of the classical mixed methods.  

  • Keywords

The incompressible magnetohydrodynamic equation, Vorticity, Least-squares mixed finite element method.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-23-327, author = {Shao-Qin Gao}, title = {Least-Squares Mixed Finite Element Methods for the Incompressible Magnetohydrodynamic Equations}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {3}, pages = {327--336}, abstract = {

Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variables in order that the primal equations are 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 Babuška-Brezzi condition (i.e. the inf-sup condition) and the indefiniteness are avoided which are essential features of the classical mixed methods.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8819.html} }
TY - JOUR T1 - Least-Squares Mixed Finite Element Methods for the Incompressible Magnetohydrodynamic Equations AU - Shao-Qin Gao JO - Journal of Computational Mathematics VL - 3 SP - 327 EP - 336 PY - 2005 DA - 2005/06 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8819.html KW - The incompressible magnetohydrodynamic equation, Vorticity, Least-squares mixed finite element method. AB -

Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variables in order that the primal equations are 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 Babuška-Brezzi condition (i.e. the inf-sup condition) and the indefiniteness are avoided which are essential features of the classical mixed methods.  

Shao-Qin Gao. (2005). Least-Squares Mixed Finite Element Methods for the Incompressible Magnetohydrodynamic Equations. Journal of Computational Mathematics. 23 (3). 327-336. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard