38 citations · 195 across the 39 of their papers we have counts for
41 papers
Multigrid preconditioning for regularized least-squares problems
Matthias Bolten, Scott P. MacLachlan, Misha E. Kilmer
In this paper, we are concerned with efficiently solving the sequences of regularized linear least squares problems associated with employing Tikhonov-type regularization with regu…
A positivity-preserving unigrid method for elliptic PDEs
Ronald D. Haynes, Scott MacLachlan, Dawei Wang
While constraints arise naturally in many physical models, their treatment in mathematical and numerical models varies widely, depending on the nature of the constraint and the ava…
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…
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…
MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods
Ali Taghibakhshi, Nicolas Nytko, Tareq Uz Zaman +3
Domain decomposition methods (DDMs) are popular solvers for discretized systems of partial differential equations (PDEs), with one-level and multilevel variants. These solvers rely…
Generalizing Lloyd's algorithm for graph clustering
Tareq Zaman, Nicolas Nytko, Ali Taghibakhshi +3
Clustering is a commonplace problem in many areas of data science, with applications in biology and bioinformatics, understanding chemical structure, image segmentation, building r…