The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
This article has been cited by the following article(s):
Stabilized weighted reduced order methods for parametrized advection-dominated optimal control problems governed by partial differential equations with random inputs
Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models
Matteo Tomasetto, Francesco Braghin and Andrea Manzoni Computer Methods in Applied Mechanics and Engineering 442 118030 (2025) https://doi.org/10.1016/j.cma.2025.118030
A Non‐Intrusive, Online Reduced Order Method for Non‐Linear Micro‐Heterogeneous Materials
Yasemin von Hoegen, Rainer Niekamp and Jörg Schröder International Journal for Numerical Methods in Engineering 126(5) (2025) https://doi.org/10.1002/nme.70007
Enhancing speedup in multifidelity training process by design automation to generate online reduced-order models in Convection–Diffusion–Reaction systems
Aayushman Sharma, Zirui Mao, Haiying Yang, Suman Chakravorty, Michael J. Demkowicz and Dileep Kalathil Journal of Dynamic Systems, Measurement, and Control 146(6) (2024) https://doi.org/10.1115/1.4065801
Data-Driven Modal Decomposition Methods as Feature Detection Techniques for Flow Fields in Hydraulic Machinery: A Mini Review
Bin Xu, Liwen Zhang, Weibin Zhang, Yilin Deng and Teck Neng Wong Journal of Marine Science and Engineering 12(5) 813 (2024) https://doi.org/10.3390/jmse12050813
POD-Based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control
Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds
Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng and Peter Benner Advanced Modeling and Simulation in Engineering Sciences 9(1) (2022) https://doi.org/10.1186/s40323-022-00236-6
Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces
Simon Becker, Carsten Hartmann, Martin Redmann and Lorenz Richter Stochastic Processes and their Applications 149 107 (2022) https://doi.org/10.1016/j.spa.2022.03.009
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems
Reduced order methods for parametric optimal flow control in coronary bypass grafts, toward patient‐specific data assimilation
Zakia Zainib, Francesco Ballarin, Stephen Fremes, Piero Triverio, Laura Jiménez‐Juan and Gianluigi Rozza International Journal for Numerical Methods in Biomedical Engineering 37(12) (2021) https://doi.org/10.1002/cnm.3367
On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis
Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems
Mian Mohammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng and Tatjana Stykel Journal of the Franklin Institute 358(3) 2015 (2021) https://doi.org/10.1016/j.jfranklin.2020.11.012
A Review of Model Order Reduction Methods for Large‐Scale Structure Systems
Kuan Lu, Kangyu Zhang, Haopeng Zhang, Xiaohui Gu, Yulin Jin, Shibo Zhao, Chao Fu, Yongfeng Yang and Zeqi Lu Shock and Vibration 2021(1) (2021) https://doi.org/10.1155/2021/6631180
An Energy Closure Criterion for Model Reduction of a Kicked Euler–Bernoulli Beam
IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
Jonas Siegfried Jehle, Luca Mechelli and Stefan Volkwein IUTAM Bookseries, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 36 127 (2020) https://doi.org/10.1007/978-3-030-21013-7_9
IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
Steffen Kastian and Stefanie Reese IUTAM Bookseries, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 36 67 (2020) https://doi.org/10.1007/978-3-030-21013-7_5
A two-stage surrogate model for Neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation
Steffen Kastian, Dieter Moser, Lars Grasedyck and Stefanie Reese Computer Methods in Applied Mechanics and Engineering 372 113368 (2020) https://doi.org/10.1016/j.cma.2020.113368
Sampling-free model reduction of systems with low-rank parameterization
Model order reduction in aerodynamics: Review and applications
Gonçalo Mendonça, Frederico Afonso and Fernando Lau Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233(15) 5816 (2019) https://doi.org/10.1177/0954410019853472
A multiscale method for model order reduction in PDE parameter estimation
Model Reduction for Parametrized Optimal Control Problems in Environmental Marine Sciences and Engineering
Maria Strazzullo, Francesco Ballarin, Renzo Mosetti and Gianluigi Rozza SIAM Journal on Scientific Computing 40(4) B1055 (2018) https://doi.org/10.1137/17M1150591
Reduced-Order Modeling (ROM) for Simulation and Optimization
A posteriori snapshot location for POD in optimal control of linear parabolic equations
Alessandro Alla, Carmen Grässle and Michael Hinze ESAIM: Mathematical Modelling and Numerical Analysis 52(5) 1847 (2018) https://doi.org/10.1051/m2an/2018009
Krylov subspace approximation for quadratic-bilinear differential system
Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography
Meghan O'Connell, Misha E. Kilmer, Eric de Sturler and Serkan Gugercin SIAM Journal on Scientific Computing 39(2) B272 (2017) https://doi.org/10.1137/16M1062880
Feedback Stabilization of Controlled Dynamical Systems
Giordano Scarciotti and Alessandro Astolfi Lecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 29 (2017) https://doi.org/10.1007/978-3-319-51298-3_2
Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems
Mian Ilyas Ahmad, Peter Benner, Pawan Goyal and Jan Heiland ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97(10) 1252 (2017) https://doi.org/10.1002/zamm.201500262
Data-driven model reduction by moment matching for linear and nonlinear systems
Localized Model Reduction in Porous Media Flow∗1The authors would like to thanks the US DoD - Army Research Once and Foundation CMG for supporting this project.
Recent Trends in Computational Engineering - CE2014
Eva Grimm, Martin Gubisch and Stefan Volkwein Lecture Notes in Computational Science and Engineering, Recent Trends in Computational Engineering - CE2014 105 297 (2015) https://doi.org/10.1007/978-3-319-22997-3_18
Nonlinear Parametric Inversion Using Interpolatory Model Reduction
Eric de Sturler, Serkan Gugercin, Misha E. Kilmer, et al. SIAM Journal on Scientific Computing 37(3) B495 (2015) https://doi.org/10.1137/130946320
Data‐driven model reduction for the Bayesian solution of inverse problems
Tiangang Cui, Youssef M. Marzouk and Karen E. Willcox International Journal for Numerical Methods in Engineering 102(5) 966 (2015) https://doi.org/10.1002/nme.4748
Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization
Matthew J. Zahr and Charbel Farhat International Journal for Numerical Methods in Engineering 102(5) 1111 (2015) https://doi.org/10.1002/nme.4770
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations
Jeffrey T. Borggaard and Serkan Gugercin Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Active Flow and Combustion Control 2014 127 381 (2015) https://doi.org/10.1007/978-3-319-11967-0_23
Trends in PDE Constrained Optimization
Peter Benner, Ekkehard Sachs and Stefan Volkwein International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 303 (2014) https://doi.org/10.1007/978-3-319-05083-6_19
A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems
Alina Studinger and Stefan Volkwein International Series of Numerical Mathematics, Control and Optimization with PDE Constraints 164 137 (2013) https://doi.org/10.1007/978-3-0348-0631-2_8
Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
Dominique Chapelle, Asven Gariah and Jacques Sainte-Marie ESAIM: Mathematical Modelling and Numerical Analysis 46(4) 731 (2012) https://doi.org/10.1051/m2an/2011053
Constrained Optimization and Optimal Control for Partial Differential Equations
Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 75 (2012) https://doi.org/10.1007/978-3-0348-0133-1_5
Reduced order optimization for model predictive control using principal control moves