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 …

In this article, we present algorithms and implementations for the end-to-end GPU
acceleration of matrix-free low-order-refined preconditioning of high-order finite element …

We present a family of discretizations for the Variable Eddington Factor (VEF) equations that
have high-order accuracy on curved meshes and efficient preconditioned iterative solvers …

This paper presents the first application of a symmetric interior-penalty discontinuous
Galerkin isogeometric analysis (SIP-DG-IGA) spatial discretization to the self-adjoint angular …

We derive and analyze a symmetric interior penalty discontinuous Galerkin scheme for the
approximation of the second-order form of the radiative transfer equation in slab geometry …

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 …

The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for
finite element discretizations. MFEM supports numerous types of finite element methods and …

The hp-adaptive finite element method—where one independently chooses the mesh size
(h) and polynomial degree (p) to be used on each cell—has long been known to have better …

Energy-dependent self-adaptive mesh refinement algorithms are developed for a symmetric
interior-penalty scheme for a discontinuous Galerkin spatial discretization of the multi-group …

We derive and analyze a symmetric interior penalty discontinuous Galerkin scheme for the
approximation of the second-order form of the radiative transfer equation in slab geometry …