16 citations · 24 across the 7 of their papers we have counts for
4 papers · 2 filters
Accelerating PDE-constrained Inverse Solutions with Deep Learning and Reduced Order Models
Sheroze Sheriffdeen, Jean C. Ragusa, Jim E. Morel +2
Inverse problems are pervasive mathematical methods in inferring knowledge from observational and experimental data by leveraging simulations and models. Unlike direct inference me…
Parallel Approximate Ideal Restriction Multigrid for Solving the S Transport Equations
Joshua Hanophy, Ben S. Southworth, Ruipeng Li +2
The computational kernel in solving the transport equations is the parallel sweep, which corresponds to directly inverting a block lower triangular linear system that arises…
Nonlinear Diffusion Acceleration of the Least-Squares Transport Equation in Geometries with Voids
Hans Hammer, Jim Morel, Yaqi Wang
In this paper we show the extension of the Nonlinear-Diffusion Acceleration (NDA) to geometries containing small voids using a weighted least-squares (WLS) high order equation. Eve…
A Weighted Least-Squares Transport Equation Compatible with Source Iteration and Voids
Hans Hammer, Jim Morel, Yaqi Wang
Least-squares (LS) forms of the transport equation can circumvent the void problems of other second order forms, but are almost always non-conservative. Additionally, the standard…