The numerical approximation of the Euler equations of gas dynamics in a
movingLagrangian frame is at the heart of many multiphysics simulation algorithms. In this …

A new project is underway at the National Ignition Facility with the goal of applying a seed
magnetic field to the fusion fuel in an indirect drive hohlraum implosion and quantifying the …

In this paper we review a number of auxiliary space based preconditioners for the second
order definite and semi-definite Maxwell problems discretized with the lowest order Nedelec …

We report on the detection of the time-dependent B-field amplitude and topology in a laser-
driven solenoid. The B-field inferred from both proton deflectometry and Faraday rotation …

Application of a magnetic field to an indirect drive inertial confinement fusion target requires
diffusion of the field through the high-Z and electrically conducting Hohlraum. The onset of …

In this paper we present a unified framework for constructing spectrally equivalent low-order-
refined discretizations for the high-order finite element de Rham complex. This theory covers …

The remap phase in arbitrary Lagrangian–Eulerian (ALE) hydrodynamics involves the
transfer of field quantities defined on a post‐Lagrangian mesh to some new mesh, usually …

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

In this article, we propose different splitting procedures for the transient incompressible
magnetohydrodynamics (MHD) system that are unconditionally stable. We consider two …

Magneto-hydrodynamics is one of the foremost models in plasma physics with applications
in inertial confinement fusion, astrophysics and elsewhere. Advanced numerical methods …