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08/08/2023
A space-time high-order implicit shock tracking method for shock-dominated unsteady flows
High-order implicit shock tracking (fitting) is a class of high-order, o...
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05/25/2023
Accelerated solutions of convection-dominated partial differential equations using implicit feature tracking and empirical quadrature
This work introduces an empirical quadrature-based hyperreduction proced...
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04/22/2023
High-order implicit shock tracking boundary conditions for flows with parametrized shocks
High-order implicit shock tracking (fitting) is a class of high-order, o...
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01/04/2023
An adaptive, training-free reduced-order model for convection-dominated problems based on hybrid snapshots
The vast majority of reduced-order models (ROMs) first obtain a low dime...
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06/20/2022
A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization
We present a numerical method to efficiently solve optimization problems...
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09/29/2021
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
This work introduces a new approach to reduce the computational cost of ...
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09/29/2021
Accurate quantification of blood flow wall shear stress using simulation-based imaging: a synthetic, comparative study
Simulation-based imaging (SBI) is a blood flow imaging technique that op...
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07/16/2021
Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems
Despite the great promise of the physics-informed neural networks (PINNs...
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05/01/2021
A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows
High-order implicit shock tracking is a new class of numerical methods t...
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04/13/2020
A globally convergent method to accelerate topology optimization using on-the-fly model reduction
We present a globally convergent method to accelerate density-based topo...
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12/24/2019
Implicit shock tracking using an optimization-based, r-adaptive, high-order discontinuous Galerkin method
A novel framework for resolving discontinuous solutions of conservation ...
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11/10/2019
Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning
Projection-based model reduction has become a popular approach to reduce...
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09/03/2019
