3 papers
math.NA2024
Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective
H. De Sterck, S. Friedhoff, O. A. Krzysik +1
A long-standing issue in the parallel-in-time community is the poor convergence of standard iterative parallel-in-time methods for hyperbolic partial differential equations (PDEs),…
math.NA2024
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations
Alexey Voronin, Scott MacLachlan, Luke N. Olson +1
We investigate a novel monolithic algebraic multigrid (AMG) preconditioner for the Taylor-Hood () and Scott-Vogelius ($\pmb{\mathbb{P}}_2/\mathbb{P…
math.NA2024
Multigrid preconditioning of singularly perturbed convection-diffusion equations
M. Shahid, S. P. MacLachlan, H. bin Zubair Syed
Boundary value problems based on the convection-diffusion equation arise naturally in models of fluid flow across a variety of engineering applications and design feasibility studi…