An Integrated Study of Modeling, Discretization and
Preconditioning for Magnetohydrodynamics
Jinchao Xu
Penn State University
Abstract:
I will report some recent works on structure-preserving and
stable discretization of magnetohydrodynamics and robust
preconditioning methods for the resulting algebraic systems. In
particular, judging from theoretical and/or numerical analysis of
several mathematical models for magnetohydrodynamics (MHD) which
involve the coupling of Navier-Stokes with Maxwell equations, I will
argue that some more complicated models may be easier to simulate than
some simplified models that have been often used in practice.