First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics

@article{Adler2010FirstOrderSL,
title={First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics},
author={J. H. Adler and Thomas A. Manteuffel and Stephen F. McCormick and John W. Ruge},
journal={SIAM J. Scientific Computing},
year={2010},
volume={32},
pages={229-248}
}

Abstract. Magnetohydrodynamics (MHD) is a fluid theory that describes Plasma Physics by treating the plasma as a fluid of charged particles. Hence, the equations that describe the plasma form a nonlinear system that couples Navier-Stokes with Maxwell’s equations. This paper shows that the first-order system least squares finite element method (FOSLS) is a viable discretization for these large MHD systems. To solve this system, a nestediteration-Newton-FOSLS-AMG approach is taken. Most of the… CONTINUE READING