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 construct a structure-preserving finite element method and time-stepping scheme for
inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves …

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 …

We introduce a mimetic dual-field discretization which conserves mass, kinetic energy and
helicity for three-dimensional incompressible Navier-Stokes equations. The discretization …

Numerical methods for the simulation of transient systems with structure-preserving
properties are known to exhibit greater accuracy and physical reliability, in particular over …

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 …

In this paper, we focus on pressure-robust analysis of a mixed finite element method for the
numerical discretization of nonstationary magnetohydrodynamics system. The velocity field …

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 …

In this paper we discretize the incompressible Navier–Stokes equations in the framework of
finite element exterior calculus. We make use of the Lamb identity to rewrite the equations …

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