13 citations · 13 across the 3 of their papers we have counts for
7 papers
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
Marzieh Alireza Mirhoseini, Matthew J. Zahr
This work introduces a new approach to reduce the computational cost of solving partial differential equations (PDEs) with convection-dominated solutions: model reduction with impl…
Accurate quantification of blood flow wall shear stress using simulation-based imaging: a synthetic, comparative study
Charles J. Naudet, Johannes Toger, Matthew J. Zahr
Simulation-based imaging (SBI) is a blood flow imaging technique that optimally fits a computational fluid dynamics (CFD) simulation to low-resolution, noisy magnetic resonance (MR…
Preserving general physical properties in model reduction of dynamical systems via constrained-optimization projection
A. Schein, K. T. Carlberg, M. J. Zahr
Model-reduction techniques aim to reduce the computational complexity of simulating dynamical systems by applying a (Petrov-)Galerkin projection process that enforces the dynamics…
A globally convergent method to accelerate topology optimization using on-the-fly model reduction
Masayuki Yano, Tianci Huang, Matthew J. Zahr
We present a globally convergent method to accelerate density-based topology optimization using projection-based reduced-order models (ROMs) and trust-region methods. To accelerate…
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
Matthew J. Zahr, Andrew Shi, Per-Olof Persson
A novel framework for resolving discontinuous solutions of conservation laws, e.g., contact lines, shock waves, and interfaces, using implicit tracking and a high-order discontinuo…
Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning
Han Gao, Jian-Xun Wang, Matthew J. Zahr
Projection-based model reduction has become a popular approach to reduce the cost associated with integrating large-scale dynamical systems so they can be used in many-query settin…