672 citations · 702 across the 8 of their papers we have counts for
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Robust Model Reduction Of Hyperbolic Problems by -norm Minimization and Dictionary Approximation
Remi Abgrall, David Amsallem, Roxana Crisonovan
We propose a novel model reduction approach for the approximation of non linear hyperbolic equations in the scalar and the system cases. The approach relies on an offline computati…
Real-time solution of computational problems using databases of parametric linear reduced-order models with arbitrary underlying meshes
David Amsallem, Radek Tezaur, Charbel Farhat
A comprehensive approach for real-time computations using a database of parameterized linear reduced-order models (ROMs) is proposed. The method proceeds by sampling offline ROMs f…
Robust Model Reduction by -norm Minimization and Approximation via Dictionaries: Application to Linear and Nonlinear Hyperbolic Problems
Remi Abgrall, David Amsallem
We propose a novel model reduction approach for the approximation of non linear hyperbolic equations in the scalar and the system cases. The approach relies on an offline computati…
Gradient-based Constrained Optimization Using a Database of Linear Reduced-Order Models
Youngsoo Choi, Gabriele Boncoraglio, Spenser Anderson +2
A methodology grounded in model reduction is presented for accelerating the gradient-based solution of a family of linear or nonlinear constrained optimization problems where the c…
High-order accurate difference schemes for the Hodgkin-Huxley equations
David Amsallem, Jan Nordstrom
A novel approach for simulating potential propagation in neuronal branches with high accuracy is developed. The method relies on high-order accurate difference schemes using the Su…
The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
Kevin Carlberg, Charbel Farhat, Julien Cortial +1
The Gauss--Newton with approximated tensors (GNAT) method is a nonlinear model reduction method that operates on fully discretized computational models. It achieves dimension reduc…