1 citations · 2 across the 9 of their papers we have counts for
15 papers
An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes
Sander Rhebergen, Ben S. Southworth
We present an optimal preconditioner for the exactly divergence-free discontinuous Galerkin (DG) discretization of Cockburn, Kanschat, and Schötzau [J. Sci. Comput., 31 (2007), pp.…
Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics
Milan Holec, Ben Zhu, Ilon Joseph +5
Maintaining conservation laws in the fully discrete setting is critical for accurate long-time behavior of numerical simulations and requires accounting for discrete conservation p…
Asynchronous Truncated Multigrid-reduction-in-time (AT-MGRIT)
Jens Hahne, Ben Southworth, Stephanie Friedhoff
In this paper, we present the new "asynchronous truncated multigrid-reduction-in-time" (AT-MGRIT) algorithm for introducing time parallelism to the solution of discretized time-dep…
Weighted Relaxation for Multigrid Reduction in Time
Masumi Sugiyama, Jacob B. Schroder, Ben S. Southworth +1
Based on current trends in computer architectures, faster compute speeds must come from increased parallelism rather than increased clock speeds, which are currently stagnate. This…
A New Scheme for Solving High-Order DG Discretizations of Thermal Radiative Transfer using the Variable Eddington Factor Method
Ben C. Yee, Samuel S. Olivier, Ben S. Southworth +2
We present a new approach for solving high-order thermal radiative transfer (TRT) using the Variable Eddington Factor (VEF) method (also known as quasidiffusion). Our approach leve…
Space-time block preconditioning for incompressible flow
Federico Danieli, Ben S. Southworth, Andrew J. Wathen
Parallel-in-time methods have become increasingly popular in the simulation of time-dependent numerical PDEs, allowing for the efficient use of additional MPI processes when spatia…