57 citations · 131 across the 64 of their papers we have counts for
6 papers · 1 filter
Multilevel convergence analysis of multigrid-reduction-in-time
Andreas Hessenthaler, Ben S. Southworth, David Nordsletten +3
This paper presents a multilevel convergence framework for multigrid-reduction-in-time (MGRIT) as a generalization of previous two-grid estimates. The framework provides a priori u…
DSA Preconditioning for DG discretizations of transport and High-Order curved meshes
T. S. Haut, B. S. Southworth, P. G. Maginot +1
This paper derives and analyzes new diffusion synthetic acceleration (DSA) preconditioners for the SN transport equation when discretized with a high-order (HO) discontinuous Galer…
An Efficient Sweep-based Solver for the Equations on High-Order Meshes
T. S. Haut, P. G. Maginot, V. Z. Tomov +3
We propose a graph-based sweep algorithm for solving the steady state, mono-energetic discrete ordinates on meshes of high-order curved mesh elements. Our spatial discretization co…
Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time
Ben S. Southworth
Parareal and multigrid reduction in time (MGRiT) are two of the most popular parallel-in-time methods. The idea is to treat time integration in a parallel context by using a multig…
Convergence in Norm of Nonsymmetric Algebraic Multigrid
Ben S. Southworth, Thomas A. Manteuffel
Algebraic multigrid (AMG) is one of the fastest numerical methods for solving large sparse linear systems. For SPD matrices, convergence of AMG is well motivated in the -norm, a…
Surface Deposition of the Enceladus Plume and the Zenith Angle of Emissions
Ben Southworth, Sascha Kempf, Joe Spitale
Since the discovery of an ice particle plume erupting from the south polar terrain on Saturn's moon Enceladus, the geophysical mechanisms driving its activity have been the focus o…