Survey of multifidelity methods in uncertainty propagation, inference, and optimization

B Peherstorfer, K Willcox, M Gunzburger - Siam Review, 2018 - SIAM
In many situations across computational science and engineering, multiple computational
models are available that describe a system of interest. These different models have varying …

A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

Reduced basis methods for time-dependent problems

JS Hesthaven, C Pagliantini, G Rozza - Acta Numerica, 2022 - cambridge.org
Numerical simulation of parametrized differential equations is of crucial importance in the
study of real-world phenomena in applied science and engineering. Computational methods …

Data-driven operator inference for nonintrusive projection-based model reduction

B Peherstorfer, K Willcox - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
This work presents a nonintrusive projection-based model reduction approach for full
models based on time-dependent partial differential equations. Projection-based model …

Modeling, analysis, and optimization under uncertainties: a review

E Acar, G Bayrak, Y Jung, I Lee, P Ramu… - Structural and …, 2021 - Springer
Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …

Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy‐based mesh sampling and weighting for computational efficiency

C Farhat, P Avery, T Chapman… - International Journal for …, 2014 - Wiley Online Library
SUMMARY A rigorous computational framework for the dimensional reduction of discrete,
high‐fidelity, nonlinear, finite element structural dynamics models is presented. It is based …

Numerical solution of saddle point problems

M Benzi, GH Golub, J Liesen - Acta numerica, 2005 - cambridge.org
Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

Model order reduction for linear and nonlinear systems: a system-theoretic perspective

U Baur, P Benner, L Feng - Archives of Computational Methods in …, 2014 - Springer
In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

Data-driven reduced-order models via regularised operator inference for a single-injector combustion process

SA McQuarrie, C Huang, KE Willcox - … of the Royal Society of New …, 2021 - Taylor & Francis
This paper derives predictive reduced-order models for rocket engine combustion dynamics
via Operator Inference, a scientific machine learning approach that blends data-driven …

A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control

B Besselink, U Tabak, A Lutowska… - Journal of Sound and …, 2013 - Elsevier
In this paper, popular model reduction techniques from the fields of structural dynamics,
numerical mathematics and systems and control are reviewed and compared. The …