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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...
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07/12/2023
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid
The standard goal for an effective algebraic multigrid (AMG) algorithm i...
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07/01/2023
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems
This paper focuses on developing a reduction-based algebraic multigrid m...
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05/09/2023
Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion
Radiation hydrodynamics are a challenging multiscale and multiphysics se...
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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...
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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...
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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 ...
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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...
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07/05/2021
Weighted Relaxation for Multigrid Reduction in Time
Based on current trends in computer architectures, faster compute speeds...
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01/18/2021
Space-time block preconditioning for incompressible flow
Parallel-in-time methods have become increasingly popular in the simulat...
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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...
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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 ...
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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...
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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...
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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...
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01/03/2020
A note on 2× 2 block-diagonal preconditioning
For 2x2 block matrices, it is well-known that block-triangular or block-...
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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...
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06/16/2019