Optimal High-Order Solvers
Will Pazner | 20-ERD-002
Executive Summary
We are developing solvers that provide high performance for emerging algorithms on next-generation computer architectures. Fast solvers in this area will remove a critical bottleneck to a number of simulation codes that are essential to national mission in stockpile stewardship and energy security.
Publications, Presentations, and Patents
Barker, Andrew. 2021. "Matrix-free algebraic multigrid." SIAM CSE 2021.
Barker, Andrew. 2019. "Matrix-free preconditioning in H(curl)." SIAM CSE 2019.
Barker, Andrew, and Tzanio Kolev. 2020. "Matrix-free preconditioning for high-order H(curl) discretizations," Numerical Linear Algebra with Applications 1-17.
Epperly, Ethan, Andrew Barker, and Robert Falgout. 2020. "Smoothers for matrix-free algebraic multigrid," LLNL Technical Report.
Pazner, Will, and Tzanio Kolev. 2021. "Uniform subspace correction preconditioners for discontinuous Galerkin methods with hp-refinement." Communications on Applied Mathematics and Computation 1-31.
