In this paper, we propose a novel interior penalty discontinuous Galerkin projection method
for the incompressible magneto-hydrodynamic equations. The scheme is employed by an …

We present a new exactly divergence-free and well-balanced hybrid finite volume/finite
element scheme for the numerical solution of the incompressible viscous and resistive …

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 study a fully discrete vector penalty-projection method for the time-
dependent incompressible magnetohydrodynamics flows. This fully discrete scheme is a …

Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of
dynamical systems deliver physically relevant results. In this paper, we construct a structure …

In this manuscript we present a novel and efficient numerical method for the compressible
viscous and resistive MHD equations for all Mach number regimes. The time-integration …

We present a novel semi-implicit hybrid finite volume/finite element (FV/FE) method for the
equations of viscous and resistive incompressible magnetohydrodynamics (MHD). The …

We propose a new class of finite element approximations to ideal compressible
magnetohydrodynamic equations in smooth regime. Following variational approaches …

We construct a structure-preserving finite element method and time-stepping scheme for
compressible barotropic magnetohydrodynamics both in the ideal and resistive cases, and …

In this paper, an Anderson's acceleration algorithm for the finite element Oseen iterative
scheme of the steady incompressible magnetohydrodynamics (MHD) problem is designed …