Matthew J. Zahr

Orcid: 0000-0003-4066-981X

According to our database1, Matthew J. Zahr authored at least 25 papers between 2014 and 2024.

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Bibliography

2024
A space-time high-order implicit shock tracking method for shock-dominated unsteady flows.
J. Comput. Phys., March, 2024

Preconditioned iterative solvers for constrained high-order implicit shock tracking methods.
J. Comput. Phys., 2024

An augmented Lagrangian trust-region method with inexact gradient evaluations to accelerate constrained optimization problems using model hyperreduction.
CoRR, 2024

Symmetric, Optimization-based, Cross-element Compatible Nodal Distributions for High-order Finite Elements.
CoRR, 2024

2023
High-order implicit shock tracking boundary conditions for flows with parametrized shocks.
J. Comput. Phys., December, 2023

A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: Application to shape optimization.
J. Comput. Phys., July, 2023

Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking.
J. Comput. Phys., 2023

An adaptive model reduction method leveraging locally supported basis functions.
CoRR, 2023

Accelerated solutions of convection-dominated partial differential equations using implicit feature tracking and empirical quadrature.
CoRR, 2023

An adaptive, training-free reduced-order model for convection-dominated problems based on hybrid snapshots.
CoRR, 2023

2022
Implicit shock tracking for unsteady flows by the method of lines.
J. Comput. Phys., 2022

A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows.
J. Comput. Phys., 2022

Accurate quantification of blood flow wall shear stress using simulation-based imaging: a synthetic, comparative study.
Eng. Comput., 2022

2021
Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems.
CoRR, 2021

2020
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method.
J. Comput. Phys., 2020

High-order partitioned spectral deferred correction solvers for multiphysics problems.
J. Comput. Phys., 2020

Preserving general physical properties in model reduction of dynamical systems via constrained-optimization projection.
CoRR, 2020

A globally convergent method to accelerate topology optimization using on-the-fly model reduction.
CoRR, 2020

2019
An Efficient, Globally Convergent Method for Optimization Under Uncertainty Using Adaptive Model Reduction and Sparse Grids.
SIAM/ASA J. Uncertain. Quantification, 2019

Implicit shock tracking using an optimization-based, r-adaptive, high-order discontinuous Galerkin method.
CoRR, 2019

Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning.
CoRR, 2019

2018
An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions.
J. Comput. Phys., 2018

2016
An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems.
J. Comput. Phys., 2016

2015
Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction.
Adv. Comput. Math., 2015

2014
Progressive construction of a parametric reduced-order model for PDE-constrained optimization.
CoRR, 2014


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