50 citations · 83 across the 4 of their papers we have counts for
4 papers · 1 filter
S-OPT: A Points Selection Algorithm for Hyper-Reduction in Reduced Order Models
Jessica T. Lauzon, Siu Wun Cheung, Yeonjong Shin +3
While projection-based reduced order models can reduce the dimension of full order solutions, the resulting reduced models may still contain terms that scale with the full order di…
Local Lagrangian reduced-order modeling for Rayleigh-Taylor instability by solution manifold decomposition
Siu Wun Cheung, Youngsoo Choi, Dylan Matthew Copeland +1
Rayleigh-Taylor instability is a classical hydrodynamic instability of great interest in various disciplines of science and engineering, including astrophyics, atmospheric sciences…
Reduced order models for Lagrangian hydrodynamics
Dylan Matthew Copeland, Siu Wun Cheung, Kevin Huynh +1
As a mathematical model of high-speed flow and shock wave propagation in a complex multimaterial setting, Lagrangian hydrodynamics is characterized by moving meshes, advection-domi…
Expanded mixed multiscale finite element methods and their applications for flows in porous media
Lijian Jiang, Dylan Copeland, J. David Moulton
We develop a family of expanded mixed Multiscale Finite Element Methods (MsFEMs) and their hybridizations for second-order elliptic equations. This formulation expands the standard…