Ben S. Southworth | DeepAI

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∙ 09/02/2023

Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics

This work develops a novel all-at-once space-time preconditioning approa...

0 Federico Danieli, et al. ∙

∙ 07/12/2023

On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid

The standard goal for an effective algebraic multigrid (AMG) algorithm i...

0 Ben S. Southworth, et al. ∙

∙ 07/01/2023

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems

This paper focuses on developing a reduction-based algebraic multigrid m...

0 Ahsan Ali, et al. ∙

∙ 05/09/2023

Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion

Radiation hydrodynamics are a challenging multiscale and multiphysics se...

0 Ben S. Southworth, et al. ∙

∙ 01/31/2023

A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines

We present a novel solver technique for the anisotropic heat flux equati...

0 Golo A. Wimmer, et al. ∙

∙ 03/28/2022

An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes

We present an optimal preconditioner for the exactly divergence-free dis...

0 Sander Rhebergen, et al. ∙

∙ 02/26/2022

Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics

Maintaining conservation laws in the fully discrete setting is critical ...

0 Milan Holec, et al. ∙

∙ 09/07/2021

Addititive Polynomial Block Methods, Part I: Framework and Fully-Implicit Methods

In this paper we generalize the polynomial time integration framework to...

0 Tommaso Buvoli, et al. ∙

∙ 07/05/2021

Weighted Relaxation for Multigrid Reduction in Time

Based on current trends in computer architectures, faster compute speeds...

0 Masumi Sugiyama, et al. ∙

∙ 01/18/2021

Space-time block preconditioning for incompressible flow

Parallel-in-time methods have become increasingly popular in the simulat...

0 Federico Danieli, et al. ∙

∙ 01/05/2021

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs

Fully implicit Runge-Kutta (IRK) methods have many desirable accuracy an...

0 Ben S. Southworth, et al. ∙

∙ 01/02/2021

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting

Fully implicit Runge-Kutta (IRK) methods have many desirable properties ...

0 Ben S. Southworth, et al. ∙

∙ 10/22/2020

Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice

Two of the most popular parallel-in-time methods are Parareal and multig...

0 Ben S. Southworth, et al. ∙

∙ 10/21/2020

AIR algebraic multigrid for a space-time hybridizable discontinuous Galerkin discretization of advection(-diffusion)

This paper investigates the efficiency, robustness, and scalability of a...

0 Abdullah A. Sivas, et al. ∙

∙ 01/24/2020

Diffusion synthetic acceleration for heterogeneous domains, compatible with voids

A standard approach to solving the S_N transport equations is to use sou...

0 Ben S. Southworth, et al. ∙

∙ 01/03/2020

A note on 2× 2 block-diagonal preconditioning

For 2x2 block matrices, it is well-known that block-triangular or block-...

0 Ben S. Southworth, et al. ∙

∙ 11/06/2019

On fixed-point, Krylov, and 2× 2 block preconditioners for nonsymmetric problems

The solution of matrices with 2× 2 block structure arises in numerous ar...

0 Ben S. Southworth, et al. ∙

∙ 06/16/2019

On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration

Parareal and multigrid-reduction-in-time (MGRIT) are two popular paralle...

0 Stephanie Friedhoff, et al. ∙

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