106 citations · 166 across the 15 of their papers we have counts for
15 papers
A 2-Level Domain Decomposition Preconditioner for KKT Systems with Heat-Equation Constraints
Eric C. Cyr
Solving optimization problems with transient PDE-constraints is computationally costly due to the number of nonlinear iterations and the cost of solving large-scale KKT matrices. T…
A Robust, Performance-Portable Discontinuous Galerkin Method for Relativistic Hydrodynamics
Forrest W. Glines, Kristian R. C. Beckwith, Joshua R. Braun +10
In this work, we present a discontinuous-Galerkin method for evolving relativistic hydrodynamics. We include an exploration of analytical and iterative methods to recover the primi…
Parallel Training of GRU Networks with a Multi-Grid Solver for Long Sequences
Gordon Euhyun Moon, Eric C. Cyr
Parallelizing Gated Recurrent Unit (GRU) networks is a challenging task, as the training procedure of GRU is inherently sequential. Prior efforts to parallelize GRU have largely fo…
Reduced Basis Approximations of Parameterized Dynamical Partial Differential Equations via Neural Networks
Peter Sentz, Kristian Beckwith, Eric C. Cyr +2
Projection-based reduced order models are effective at approximating parameter-dependent differential equations that are parametrically separable. When parametric separability is n…
A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD
Peter Ohm, Tobias Wiesner, Eric C. Cyr +3
A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear sy…
Partition of unity networks: deep hp-approximation
Kookjin Lee, Nathaniel A. Trask, Ravi G. Patel +2
Approximation theorists have established best-in-class optimal approximation rates of deep neural networks by utilizing their ability to simultaneously emulate partitions of unity…