92 citations · 113 across the 9 of their papers we have counts for
10 papers
Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale
Matthias Mayr, Alexander Heinlein, Christian Glusa +30
Trilinos is a community-developed, open-source software framework that facilitates building large-scale, complex, multiscale, multiphysics simulation code bases for scientific and…
Graph Neural Networks and Applied Linear Algebra
Nicholas S. Moore, Eric C. Cyr, Peter Ohm +2
Sparse matrix computations are ubiquitous in scientific computing. With the recent interest in scientific machine learning, it is natural to ask how sparse matrix computations can…
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…
Compression and Reduced Representation Techniques for Patch-Based Relaxation
Graham Harper, Ray Tuminaro
Patch-based relaxation refers to a family of methods for solving linear systems which partitions the matrix into smaller pieces often corresponding to groups of adjacent degrees of…
Low-order preconditioning of the Stokes equations
Alexey Voronin, Yunhui He, Scott MacLachlan +2
A well-known strategy for building effective preconditioners for higher-order discretizations of some PDEs, such as Poisson's equation, is to leverage effective preconditioners for…
Monolithic Multigrid for Magnetohydrodynamics
J. H. Adler, T. Benson, E. C. Cyr +3
The magnetohydrodynamics (MHD) equations model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equations that strong…