This paper reviews recent developments in Arbitrary Lagrangian Eulerian (ALE) methods for
modeling high speed compressible multimaterial flows in complex geometry on general …

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 …

Efficient exploitation of exascale architectures requires rethinking of the numerical
algorithms used in many large-scale applications. These architectures favor algorithms that …

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 …

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

We describe a framework for controlling and improving the quality of high-order finite
element meshes based on extensions of the Target-Matrix Optimization Paradigm (TMOP) of …

In this paper we describe the research and development activities in the Center for Efficient
Exascale Discretization within the US Exascale Computing Project, targeting state-of-the-art …

In this work we present a FCT-like Maximum-Principle Preserving (MPP) method to solve the
transport equation. We use high-order polynomial spaces; in particular, we consider up to …

We present an exact general remeshing scheme to compute analytic integrals of polynomial
functions over the intersections between convex polyhedral cells of old and new meshes. In …