4 papers
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations
Alexey Voronin, Graham Harper, Scott MacLachlan +2
This work introduces and assesses the efficiency of a monolithic MG multigrid framework designed for high-order discretizations of stationary Stokes systems using Taylor-Hood a…
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…
A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD
Peter Ohm, Tobias Wiesner, Eric C. Cyr +3
A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear sy…
Smooth Aggregation for Difficult Stretched Mesh and Coefficient Variation Problems
Jonathan J. Hu, Chris Siefert, Raymond S. Tuminaro
Four adaptations of the smoothed aggregation algebraic multigrid (SA-AMG) method are proposed with an eye towards improving the convergence and robustness of the solver in situatio…