A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics

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 ℘ k 3 −℘ k −1 elements whereas the magnetic part of the equations is appro...

Full description

Saved in:
Bibliographic Details
Published in:Journal of scientific computing 2009-07, Vol.40 (1-3), p.281-314
Main Authors: Houston, Paul, Schötzau, Dominik, Wei, Xiaoxi
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Computational fluid dynamics
Computational Mathematics and Numerical Analysis
Discretization
Error analysis
Finite element method
Fluid flow
Galerkin method
Galerkin methods
Incompressible flow
Magnetohydrodynamics
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical models
Mathematics
Mathematics and Statistics
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 ℘ k 3 −℘ k −1 elements whereas the magnetic part of the equations is approximated by discontinuous ℘ k 3 −℘ 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.
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-008-9265-x