The magnetohydrodynamics (MHD) equations are generally known to be difficult to solve
numerically, due to their highly nonlinear structure and the strong coupling between the …

We present a four-field virtual element discretization for the time-dependent resistive
magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete …

Most research on preconditioners for time-dependent PDEs has focused on implicit multi-
step or diagonally-implicit multi-stage temporal discretizations. In this paper, we consider …

The magnetohydrodynamics equations model a wide range of plasma physics applications
and are characterized by a nonlinear system of partial differential equations that strongly …

We develop structure-preserving finite element methods for the incompressible, resistive
Hall magnetohydrodynamics (MHD) equations. These equations incorporate the Hall current …

In this paper, we propose a decoupled, unconditionally energy stable and structure-
preserving finite element scheme for the incompressible magnetohydrodynamic (MHD) …

We consider the two‐level methods based on Arrow–Hurwicz (A‐H) iteration for solving the
stationary incompressible magnetohydrodynamics problem. The methods carry out some A …

We perform a bifurcation analysis of a two-dimensional magnetic Rayleigh–Bénard problem
using a numerical technique called deflated continuation. Our aim is to study the influence of …

We revise the structure-preserving finite element method in [K. Hu, Y. MA and J. Xu.(2017)
Stable finite element methods preserving∇⋅ B= 0 exactly for MHD models. Numer. Math …

We study a general convergence theory for the numerical solutions of compressible viscous
and electrically conducting fluids with a focus on numerical schemes that preserve the …