43 citations · 113 across the 11 of their papers we have counts for
11 papers
Augmented Block-Arnoldi Recycling CFD Solvers
Stephen Thomas, Alison Baker, Stephane Gaudreault
One of the limitations of recycled GCRO methods is the large amount of computation required to orthogonalize the basis vectors of the newly generated Krylov subspace for the approx…
Iterated Gauss-Seidel GMRES
Stephen Thomas, Erin Carson, Miro Rozložník +2
The GMRES algorithm of Saad and Schultz (1986) is an iterative method for approximately solving linear systems , with initial guess and residual ${\bf…
Neumann Series in GMRES and Algebraic Multigrid Smoothers
Stephen Thomas, Arielle Carr, Paul Mullowney +2
Neumann series underlie both Krylov methods and algebraic multigrid smoothers. A low-synch modified Gram-Schmidt (MGS)-GMRES algorithm is described that employs a Neumann series to…
ILU Smoothers for Low Mach Navier-Stokes Pressure Solvers
Stephen Thomas, Arielle Carr, Paul Mullowney +2
Incomplete LU (ILU) smoothers are effective in the algebraic multigrid (AMG) -cycle for reducing high-frequency components of the error. However, the requisite direct triangular…
Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers
Shelby Lockhart, David J. Gardner, Carol S. Woodward +2
Anderson Acceleration (AA) is a method to accelerate the convergence of fixed point iterations for nonlinear, algebraic systems of equations. Due to the requirement of solving a le…
Linear solvers for power grid optimization problems: a review of GPU-accelerated linear solvers
Kasia Swirydowicz, Eric Darve, Wesley Jones +5
The linear equations that arise in interior methods for constrained optimization are sparse symmetric indefinite and become extremely ill-conditioned as the interior method converg…