57 citations · 131 across the 64 of their papers we have counts for
5 papers · 1 filter
Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics
Federico Danieli, Ben S. Southworth, Jacob B. Schroder
This work develops an all-at-once space-time preconditioning approach for resistive magnetohydrodynamics (MHD). We consider parallel-in-time due to the long time domains required t…
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid
Ben S. Southworth, Thomas A. Manteuffel
The standard goal for an effective algebraic multigrid (AMG) algorithm is to develop relaxation and coarse-grid correction schemes that attenuate complementary error modes. In the…
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems
Ahsan Ali, James Brannick, Karsten Kahl +3
This paper focuses on developing a reduction-based algebraic multigrid method that is suitable for solving general (non)symmetric linear systems and is naturally robust from pure a…
Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion
Ben S. Southworth, HyeongKae Park, Svetlana Tokareva +1
Radiation hydrodynamics are a challenging multiscale and multiphysics set of equations. To capture the relevant physics of interest, one typically must time step on the hydrodynami…
A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines
Golo A. Wimmer, Ben S. Southworth, Thomas J. Gregory +1
We present a novel solver technique for the anisotropic heat flux equation, aimed at the high level of anisotropy seen in magnetic confinement fusion plasmas. Such problems pose tw…