Journal of Scientific Computing

, Volume 40, Issue 1, pp 281–314

A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics

Authors

  • Paul Houston
    • School of Mathematical SciencesUniversity of Nottingham
    • Department of MathematicsUniversity of British Columbia
  • Xiaoxi Wei
    • Department of MathematicsUniversity of British Columbia
Article

DOI: 10.1007/s10915-008-9265-x

Cite this article as:
Houston, P., Schötzau, D. & Wei, X. J Sci Comput (2009) 40: 281. doi:10.1007/s10915-008-9265-x

Abstract

We introduce and analyze a discontinuous Galerkin method for the numerical discretization of a stationary incompressible magnetohydrodynamics model problem. The fluid unknowns are discretized with inf-sup stable discontinuous ℘k3−℘k−1 elements whereas the magnetic part of the equations is approximated by discontinuous ℘k3−℘k+1 elements. We carry out a complete a-priori error analysis of the method and prove that the energy norm error is convergent of order k in the mesh size. These results are verified in a series of numerical experiments.

Keywords

Incompressible magnetohydrodynamicsMixed finite element methodsDiscontinuous Galerkin methods
Download to read the full article text

Copyright information

© Springer Science+Business Media, LLC 2009