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 …

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 …

We propose a general algorithm for nonconforming adaptive mesh refinement (AMR) of
unstructured meshes in high-order finite element codes. Our focus is on h-refinement with a …

Many subsurface engineering applications involve tight-coupling between fluid flow, solid
deformation, fracturing, and similar processes. To better understand the complex interplay of …

Abstract The Lawrence Livermore National Laboratory (LLNL) will soon have in place the El
Capitan exascale supercomputer, based on advanced micro devices (AMD) graphics …

A full approximation scheme (FAS) nonlinear multigrid solver for two-phase flow and
transport problems driven by wells with multiple perforations is developed. It is an extension …

We introduce a new preconditioner for a recently developed pressure-robust hybridized
discontinuous Galerkin (HDG) finite element discretization of the Stokes equations. A feature …

We present high-order, finite element–based Second Moment Methods (SMMs) for solving
radiation transport problems in two spatial dimensions. We leverage the close connection …

We apply high-order mixed finite element discretization techniques and their associated
preconditioned iterative solvers to the Variable Eddington Factor (VEF) equations in two …

This work describes the development of matrix-free GPU-accelerated solvers for high-order
finite element problems in. The solvers are applicable to grad-div and Darcy problems in …