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 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 …

In this paper, we develop subspace correction preconditioners for discontinuous Galerkin
(DG) discretizations of elliptic problems with hp-refinement. These preconditioners are …

We propose a graph-based sweep algorithm for solving the steady-state, monoenergetic
discrete ordinates on meshes of high-order (HO) curved mesh elements. Our spatial …

Due to its integro-differential nature, deriving schemes for numerically solving the radiative
transfer equation (RTE) is challenging. Most solvers are efficient in specific scenarios …

We present a new flux-fixup approach for arbitrarily high-order discontinuous Galerkin (DG)
discretizations of the SN transport equation, and we demonstrate the compatibility of this …

A standard approach to solving the SN transport equations is to use source iteration with
diffusion synthetic acceleration (DSA). Although this approach is widely used and effective …

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 …

llnlblue High Order Mixed Finite Element Discretization for the Variable Eddington Factor
Equations - Advanced Discretization Te Page 1 High Order Mixed Finite Element …

We consider the iterative solution of anisotropic radiative transfer problems using residual
minimization over suitable subspaces. We show convergence of the resulting iteration using …