For highly coupled nonlinear incompressible magnetohydrodynamic (MHD) system, a well-
known numerical challenge is how to establish an unconditionally energy stable linearized …

In this paper, we propose and analyze a fully discrete finite element projection method for
the magnetohydrodynamic (MHD) equations. A modified Crank–Nicolson method and the …

In this paper, we propose a diffuse interface model and finite element approximation for two-
phase magnetohydrodynamic (MHD) flows with different viscosities and electric …

In this paper, a fully decoupled finite element algorithm with second order time-accuracy is
proposed for the incompressible magnetohydrodynamic (MHD) equations. The algorithm is …

We construct and analyze first-and second-order implicit-explicit schemes based on the
scalar auxiliary variable approach for the magneto-hydrodynamic equations. These …

We present a novel asymptotic-preserving semi-implicit finite element method for weakly
compressible and incompressible flows based on compatible finite element spaces. The …

In this paper we propose and analyze a temporally second-order accurate numerical
scheme for the Cahn–Hilliard-Magnetohydrodynamics system of equations. The scheme is …

We present and analyze a semi-implicit finite element method (FEM) for the dynamical
incompressible magnetohydrodynamics (MHD) equations. The finite element approximation …

In the analysis of magnetohydrodynamic (MHD) flow, the Lorentz force significantly affects
energy properties because the work generated by the Lorentz force changes the kinetic and …

In this paper, two second-order accurate in time, linear, decoupled and unconditionally
energy stable schemes for the diffuse interface model of two-phase magnetohydrodynamics …