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06/25/2023
GPU-Resident Sparse Direct Linear Solvers for Alternating Current Optimal Power Flow Analysis
Integrating renewable resources within the transmission grid at a wide s...
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02/17/2023
Towards Efficient Alternating Current Optimal Power Flow Analysis on Graphical Processing Units
We present a solution of sparse alternating current optimal power flow (...
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05/16/2022
Post-Modern GMRES
The GMRES algorithm of Saad and Schultz (1986) for nonsymmetric linear s...
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12/29/2021
Neumann Series in GMRES and Algebraic Multigrid Smoothers
Neumann series underlie both Krylov methods and algebraic multigrid smoo...
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11/18/2021
ILU Smoothers for Low Mach Navier-Stokes Pressure Solvers
Incomplete LU (ILU) smoothers are effective in the algebraic multigrid (...
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10/07/2021
A Hybrid Direct-Iterative Method for Solving KKT Linear Systems
We propose a solution strategy for linear systems arising in interior me...
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09/10/2021
Efficient Exascale Discretizations: High-Order Finite Element Methods
Efficient exploitation of exascale architectures requires rethinking of ...
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06/25/2021
Linear solvers for power grid optimization problems: a review of GPU-accelerated linear solvers
The linear equations that arise in interior methods for constrained opti...
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04/02/2021
Low-Synch Gram-Schmidt with Delayed Reorthogonalization for Krylov Solvers
The parallel strong-scaling of Krylov iterative methods is largely deter...
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07/13/2020
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic
Within the past years, hardware vendors have started designing low preci...
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04/14/2020
Scalability of High-Performance PDE Solvers
Performance tests and analyses are critical to effective HPC software de...
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09/16/2018
Low synchronization GMRES algorithms
Communication-avoiding and pipelined variants of Krylov solvers are crit...
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12/31/2017
A GPU Accelerated Discontinuous Galerkin Incompressible Flow Solver
We present a GPU-accelerated version of a high-order discontinuous Galer...
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12/31/2017
GPU Acceleration of a High-Order Discontinuous Galerkin Incompressible Flow Solver
We present a GPU-accelerated version of a high-order discontinuous Galer...
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11/02/2017