EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 44 3 (2010) 509-529 Article references

Articles citing this article

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).

Cited article:

Model-order reduction framework for non-linear dynamics problems involving multiple non-parametrised loading configurations for damage assessment

Alexandre Daby-Seesaram, David Néron, Pierre-Étienne Charbonnel and Amélie Fau
Computational Mechanics (2025)
https://doi.org/10.1007/s00466-024-02586-x

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

Dimensional reduction technique for the prediction of global and local responses of unidirectional composite with matrix nonlinearity and varying fiber packing geometry

A. Jamnongpipatkul, F. Naets and F. A. Gilabert
Engineering with Computers 41 (1) 565 (2025)
https://doi.org/10.1007/s00366-024-02024-9

When Data Driven Reduced Order Modeling Meets Full Waveform Inversion

Liliana Borcea, Josselin Garnier, Alexander V. Mamonov and Jörn Zimmerling
SIAM Review 66 (3) 501 (2024)
https://doi.org/10.1137/23M1552826

An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations

Xiaoying Dai, Miao Hu, Jack Xin and Aihui Zhou
Journal of Computational Physics 514 113231 (2024)
https://doi.org/10.1016/j.jcp.2024.113231

Simulation of the interaction of light with 3‐D metallic nanostructures using a proper orthogonal decomposition‐Galerkin reduced‐order discontinuous Galerkin time‐domain method

Kun Li, Ting‐Zhu Huang, Liang Li and Stéphane Lanteri
Numerical Methods for Partial Differential Equations 39 (2) 932 (2023)
https://doi.org/10.1002/num.22911

Parametric Model-Order Reduction for Radiation Transport Simulations Based on an Affine Decomposition of the Operators

Patrick Behne, Jan Vermaak and Jean Ragusa
Nuclear Science and Engineering 197 (2) 233 (2023)
https://doi.org/10.1080/00295639.2022.2112901

Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD

Maurizio Falcone, Gerhard Kirsten and Luca Saluzzi
Applied Mathematics and Computation 442 127722 (2023)
https://doi.org/10.1016/j.amc.2022.127722

Waveform Inversion with a Data Driven Estimate of the Internal Wave

Liliana Borcea, Josselin Garnier, Alexander V. Mamonov and Jörn Zimmerling
SIAM Journal on Imaging Sciences 16 (1) 280 (2023)
https://doi.org/10.1137/22M1517342

A non-intrusive model order reduction approach for parameterized time-domain Maxwell's equations

Kun Li, Ting-Zhu Huang, Liang Li, Ying Zhao and Stéphane Lanteri
Discrete and Continuous Dynamical Systems - B 28 (1) 449 (2023)
https://doi.org/10.3934/dcdsb.2022084

A Cost-Efficient Approach towards Computational Fluid Dynamics Simulations on Quantum Devices

Szabolcs Jóczik, Zoltán Zimborás, Tamás Majoros and Attila Kiss
Applied Sciences 12 (6) 2873 (2022)
https://doi.org/10.3390/app12062873

A POD-Galerkin reduced order model of a turbulent convective buoyant flow of sodium over a backward-facing step

Sabrina Star, Giovanni Stabile, Gianluigi Rozza and Joris Degroote
Applied Mathematical Modelling 89 486 (2021)
https://doi.org/10.1016/j.apm.2020.07.029

A fully adaptive nonintrusive reduced-order modelling approach for parametrized time-dependent problems

Fahad Alsayyari, Zoltán Perkó, Marco Tiberga, Jan Leen Kloosterman and Danny Lathouwers
Computer Methods in Applied Mechanics and Engineering 373 113483 (2021)
https://doi.org/10.1016/j.cma.2020.113483

On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

Birgul Koc, Samuele Rubino, Michael Schneier, John Singler and Traian Iliescu
SIAM Journal on Numerical Analysis 59 (4) 2163 (2021)
https://doi.org/10.1137/20M1371798

Model-based optimized steering and focusing of local magnetic particle concentrations for targeted drug delivery

Rikkert Van Durme, Guillaume Crevecoeur, Luc Dupré and Annelies Coene
Drug Delivery 28 (1) 63 (2021)
https://doi.org/10.1080/10717544.2020.1853281

A stabilized mixed space–time Proper Generalized Decomposition for the Navier–Stokes equations

Jeferson Wilian Dossa Fernandes, Rodolfo André Kuche Sanches and Andrea Barbarulo
Computer Methods in Applied Mechanics and Engineering 386 114102 (2021)
https://doi.org/10.1016/j.cma.2021.114102

Advances in Dynamics, Optimization and Computation

Christian Jäkle and Stefan Volkwein
Studies in Systems, Decision and Control, Advances in Dynamics, Optimization and Computation 304 238 (2020)
https://doi.org/10.1007/978-3-030-51264-4_10

POD-DEIM model order reduction technique for model predictive control in continuous chemical processing

Van Bo Nguyen, Si Bui Quang Tran, Saif A. Khan, Jiawei Rong and Jing Lou
Computers & Chemical Engineering 133 106638 (2020)
https://doi.org/10.1016/j.compchemeng.2019.106638

Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

Xiaoying Dai, Xiong Kuang, Jack Xin and Aihui Zhou
Journal of Scientific Computing 84 (3) (2020)
https://doi.org/10.1007/s10915-020-01288-9

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

An artificial neural network framework for reduced order modeling of transient flows

Omer San, Romit Maulik and Mansoor Ahmed
Communications in Nonlinear Science and Numerical Simulation 77 271 (2019)
https://doi.org/10.1016/j.cnsns.2019.04.025

Failure Probability Estimation of Linear Time Varying Systems by Progressive Refinement of Reduced Order Models

Agnimitra Dasgupta and Debraj Ghosh
SIAM/ASA Journal on Uncertainty Quantification 7 (3) 1007 (2019)
https://doi.org/10.1137/18M1165840

A deep learning enabler for nonintrusive reduced order modeling of fluid flows

S. Pawar, S. M. Rahman, H. Vaddireddy, O. San, A. Rasheed and P. Vedula
Physics of Fluids 31 (8) (2019)
https://doi.org/10.1063/1.5113494

Projection methods for stochastic dynamic systems: A frequency domain approach

S.E. Pryse, A. Kundu and S. Adhikari
Computer Methods in Applied Mechanics and Engineering 338 412 (2018)
https://doi.org/10.1016/j.cma.2018.04.025

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

A New Algorithm of Proper Generalized Decomposition for Parametric Symmetric Elliptic Problems

M. Azaïez, F. Ben Belgacem, J. Casado-Díaz, T. Chacón Rebollo and F. Murat
SIAM Journal on Mathematical Analysis 50 (5) 5426 (2018)
https://doi.org/10.1137/17M1137164

Stabilized principal interval decomposition method for model reduction of nonlinear convective systems with moving shocks

Mansoor Ahmed and Omer San
Computational and Applied Mathematics 37 (5) 6870 (2018)
https://doi.org/10.1007/s40314-018-0718-z

Limited‐memory adaptive snapshot selection for proper orthogonal decomposition

Geoffrey M. Oxberry, Tanya Kostova‐Vassilevska, William Arrighi and Kyle Chand
International Journal for Numerical Methods in Engineering 109 (2) 198 (2017)
https://doi.org/10.1002/nme.5283

Non‐intrusive reduced‐order modeling for multiphase porous media flows using Smolyak sparse grids

Dunhui Xiao, Zhi Lin, Fangxin Fang, Christopher C. Pain, Ionel M. Navon, Pablo Salinas and Ann Muggeridge
International Journal for Numerical Methods in Fluids 83 (2) 205 (2017)
https://doi.org/10.1002/fld.4263

A residual based snapshot location strategy for POD in distributed optimal control of linear parabolic equations

A. Alla, C. Gräßle and M. Hinze
IFAC-PapersOnLine 49 (8) 13 (2016)
https://doi.org/10.1016/j.ifacol.2016.07.411

A goal-oriented reduced-order modeling approach for nonlinear systems

Jeff Borggaard, Zhu Wang and Lizette Zietsman
Computers & Mathematics with Applications 71 (11) 2155 (2016)
https://doi.org/10.1016/j.camwa.2016.01.031

PEBL-ROM: Projection-error based local reduced-order models

David Amsallem and Bernard Haasdonk
Advanced Modeling and Simulation in Engineering Sciences 3 (1) (2016)
https://doi.org/10.1186/s40323-016-0059-7

Local improvements to reduced-order approximations of optimal control problems governed by diffusion–convection–reaction equation

Tuğba Akman
Computers & Mathematics with Applications 70 (2) 104 (2015)
https://doi.org/10.1016/j.camwa.2015.04.017

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

Peter Benner, Serkan Gugercin and Karen Willcox
SIAM Review 57 (4) 483 (2015)
https://doi.org/10.1137/130932715

Adaptive training of local reduced bases for unsteady incompressible Navier–Stokes flows

Yuqi Wu and Ulrich Hetmaniuk
International Journal for Numerical Methods in Engineering 103 (3) 183 (2015)
https://doi.org/10.1002/nme.4883

POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation

R. Ştefănescu, A. Sandu and I.M. Navon
Journal of Computational Physics 295 569 (2015)
https://doi.org/10.1016/j.jcp.2015.04.030

Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations

Zhu Wang
Numerical Methods for Partial Differential Equations 31 (6) 1713 (2015)
https://doi.org/10.1002/num.21961

Error estimates for Galerkin reduced-order models of the semi-discrete wave equation

D. Amsallem and U. Hetmaniuk
ESAIM: Mathematical Modelling and Numerical Analysis 48 (1) 135 (2014)
https://doi.org/10.1051/m2an/2013099

Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error

P. Kerfriden, J. J. Ródenas and S. P.-A. Bordas
International Journal for Numerical Methods in Engineering 97 (6) 395 (2014)
https://doi.org/10.1002/nme.4588

Optimization with PDE Constraints

Maurizio Falcone and Marco Verani
Lecture Notes in Computational Science and Engineering, Optimization with PDE Constraints 101 65 (2014)
https://doi.org/10.1007/978-3-319-08025-3_3

Reduced Order Methods for Modeling and Computational Reduction

Toni Lassila, Andrea Manzoni, Alfio Quarteroni and Gianluigi Rozza
Reduced Order Methods for Modeling and Computational Reduction 235 (2014)
https://doi.org/10.1007/978-3-319-02090-7_9

High-performance model reduction techniques in computational multiscale homogenization

J.A. Hernández, J. Oliver, A.E. Huespe, M.A. Caicedo and J.C. Cante
Computer Methods in Applied Mechanics and Engineering 276 149 (2014)
https://doi.org/10.1016/j.cma.2014.03.011

Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location

Oliver Lass and Stefan Volkwein
Computational Optimization and Applications 58 (3) 645 (2014)
https://doi.org/10.1007/s10589-014-9646-z

Derivative-Extended POD Reduced-Order Modeling for Parameter Estimation

A. Schmidt, A. Potschka, S. Körkel and H. G. Bock
SIAM Journal on Scientific Computing 35 (6) A2696 (2013)
https://doi.org/10.1137/120896694

A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics

P. Kerfriden, O. Goury, T. Rabczuk and S.P.A. Bordas
Computer Methods in Applied Mechanics and Engineering 256 169 (2013)
https://doi.org/10.1016/j.cma.2012.12.004

Control and Optimization with PDE Constraints

Alessandro Alla and Maurizio Falcone
International Series of Numerical Mathematics, Control and Optimization with PDE Constraints 164 1 (2013)
https://doi.org/10.1007/978-3-0348-0631-2_1

POD Galerkin Schemes for Nonlinear Elliptic-Parabolic Systems

O. Lass and S. Volkwein
SIAM Journal on Scientific Computing 35 (3) A1271 (2013)
https://doi.org/10.1137/110848414

POD–ISAT: An efficient POD‐based surrogate approach with adaptive tabulation and fidelity regions for parametrized steady‐state PDE discrete solutions

D. Bui, M. Hamdaoui and F. De Vuyst
International Journal for Numerical Methods in Engineering 94 (7) 648 (2013)
https://doi.org/10.1002/nme.4468

A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

Bernard Haasdonk, Markus Dihlmann and Mario Ohlberger
Mathematical and Computer Modelling of Dynamical Systems 17 (4) 423 (2011)
https://doi.org/10.1080/13873954.2011.547674

Reduction procedure for parametrized fluid dynamics problems based on proper orthogonal decomposition and calibration

Mykhaylo Krasnyk, Michael Mangold and Achim Kienle
Chemical Engineering Science 65 (23) 6238 (2010)
https://doi.org/10.1016/j.ces.2010.09.005