Talks and presentations

Solver Development in nekRS: Optimal Chebyshev Smoothers and One-sided V-cycles

August 09, 2022

Talk, CEED Annual Meeting 6, UIUC

Demonstrate improved convergence rate using novel 4th-kind and optimal 4th-kind Chebyshev smoothers based on Lottes’s work Optimal polynomial smoothers for multigrid V-cycles. In addition, analyze the applicability of one-sided V-cycles to improve the convergence rate of Chebyshev smoothers in both a high-order $p$-multigrid and finite difference geometric multigrid applications.

Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs

April 01, 2021

Talk, Copper Mountain 2021, Virtual

Present novel $p$-MG preconditioner built on Chebyshev-accelerated additive Schwarz and restrictive additive Schwarz smoothers. These preconditioner techniques are now the default solvers utilized in nekRS, an open-source high-order CFD solver targeting GPUs.

Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs

March 05, 2021

Talk, SIAM CSE 2021, Virtual

Present novel $p$-MG preconditioner built on Chebyshev-accelerated additive Schwarz and restrictive additive Schwarz smoothers. These preconditioner techniques are now the default solvers utilized in nekRS, an open-source high-order CFD solver targeting GPUs.