MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …

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 …

We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …

We present a new approach for multi-material arbitrary Lagrangian--Eulerian (ALE)
hydrodynamics simulations based on high-order finite elements posed on high-order …

In this paper we present a new family of high order accurate Arbitrary-Lagrangian–Eulerian
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …

We present a new family of high order accurate fully discrete one-step Discontinuous
Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of …

A moving discontinuous Galerkin finite element method with interface condition enforcement
is formulated for flows with discontinuous interfaces. The underlying weak formulation …

Based on the total Lagrangian kinematical description, a discontinuous Galerkin (DG)
discretization of the gas dynamics equations is developed for two-dimensional fluid flows on …

In the past, a number of attempts have failed to robustly compute highly transient shock
hydrodynamics flows on tetrahedral meshes. To a certain degree, this is not a surprise, as …

In this paper we present a new family of efficient high order accurate direct Arbitrary-
Lagrangian–Eulerian (ALE) one-step ADER-MOOD finite volume schemes for the solution of …