66 citations · 190 across the 14 of their papers we have counts for
16 papers
Iterative Methods in GPU-Resident Linear Solvers for Nonlinear Constrained Optimization
Kasia Świrydowicz, Nicholson Koukpaizan, Maksudul Alam +3
Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous ha…
GPU-Resident Sparse Direct Linear Solvers for Alternating Current Optimal Power Flow Analysis
Kasia Świrydowicz, Nicholson Koukpaizan, Tobias Ribizel +4
Integrating renewable resources within the transmission grid at a wide scale poses significant challenges for economic dispatch as it requires analysis with more optimization param…
Towards Efficient Alternating Current Optimal Power Flow Analysis on Graphical Processing Units
Kasia Swirydowicz, Nicholson Koukpaizan, Shrirang Abhyankar +1
We present a solution of sparse alternating current optimal power flow (ACOPF) analysis on graphical processing unit (GPU). In particular, we discuss the performance bottlenecks an…
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…
A Hybrid Direct-Iterative Method for Solving KKT Linear Systems
Shaked Regev, Nai-Yuan Chiang, Eric Darve +4
We propose a solution strategy for linear systems arising in interior method optimization, which is suitable for implementation on hardware accelerators such as graphical processin…
Efficient Exascale Discretizations: High-Order Finite Element Methods
Tzanio Kolev, Paul Fischer, Misun Min +27
Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that ex…
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…
Low-Synch Gram-Schmidt with Delayed Reorthogonalization for Krylov Solvers
Daniel Bielich, Julien Langou, Stephen Thomas +3
The parallel strong-scaling of Krylov iterative methods is largely determined by the number of global reductions required at each iteration. The GMRES and Krylov-Schur algorithms e…
Two-Stage Gauss--Seidel Preconditioners and Smoothers for Krylov Solvers on a GPU cluster
Luc Berger-Vergiat, Brian Kelley, Sivasankaran Rajamanickam +5
Gauss-Seidel (GS) relaxation is often employed as a preconditioner for a Krylov solver or as a smoother for Algebraic Multigrid (AMG). However, the requisite sparse triangular solv…
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic
Ahmad Abdelfattah, Hartwig Anzt, Erik G. Boman +22
Within the past years, hardware vendors have started designing low precision special function units in response to the demand of the Machine Learning community and their demand for…
Scalability of High-Performance PDE Solvers
Paul Fischer, Misun Min, Thilina Rathnayake +8
Performance tests and analyses are critical to effective HPC software development and are central components in the design and implementation of computational algorithms for achiev…
Low synchronization GMRES algorithms
Kasia Swirydowicz, Julien Langou, Shreyas Ananthan +2
Communication-avoiding and pipelined variants of Krylov solvers are critical for the scalability of linear system solvers on future exascale architectures. We present low synchroni…
A GPU Accelerated Discontinuous Galerkin Incompressible Flow Solver
Ali Karakus, Noel Chalmers, Kasia Swirydowicz +1
We present a GPU-accelerated version of a high-order discontinuous Galerkin discretization of the unsteady incompressible Navier-Stokes equations. The equations are discretized in…
Acceleration of tensor-product operations for high-order finite element methods
Kasia Świrydowicz, Noel Chalmers, Ali Karakus +1
This paper is devoted to GPU kernel optimization and performance analysis of three tensor-product operators arising in finite element methods. We provide a mathematical background…
Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver
Amit Amritkar, Eric de Sturler, Katarzyna Świrydowicz +2
We focus on robust and efficient iterative solvers for the pressure Poisson equation in incompressible Navier-Stokes problems. Preconditioned Krylov subspace methods are popular fo…