EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues ESAIM: M2AN, 42 2 (2008) 277-302 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:

Numerical investigations of reduced-order models with time-varying parameters generated by hybrid training with automatic hyper-reduction in nonlinear diffusion–reaction systems

Feng Bai
Mathematics and Computers in Simulation 241 489 (2026)
https://doi.org/10.1016/j.matcom.2025.10.018

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction

Celine Reddig, Pawan Goyal, Igor Pontes Duff and Peter Benner
International Journal for Numerical Methods in Engineering 127 (1) (2026)
https://doi.org/10.1002/nme.70227

Digital twin-augmented spatio-temporal Bayesian nowcasting model for emissions accounting in complex urban grid systems

Yishuo Jiang, Minghui Cheng, Shijie Pan, Xinlai Liu, Ziheng Geng and H. Oliver Gao
Information Sciences 732 122918 (2026)
https://doi.org/10.1016/j.ins.2025.122918

Efficient Deconvolution in Populational Inverse Problems

Arnaud Vadeboncoeur, Mark Girolami and Andrew M. Stuart
International Journal for Numerical Methods in Engineering 127 (9) (2026)
https://doi.org/10.1002/nme.70335

Multi-fidelity learning of reduced order models for parabolic PDE constrained optimization

Benedikt Klein and Mario Ohlberger
Advances in Computational Mathematics 52 (2) (2026)
https://doi.org/10.1007/s10444-026-10296-6

A parametric nonlinear model reduction method for the flow field in the RPV lower plenum using KPCA and sparse grids

Shang He, Peng Minjun, Xu Yifan and Xia Genglei
Nuclear Engineering and Design 448 114678 (2026)
https://doi.org/10.1016/j.nucengdes.2025.114678

Improved reduced order modelling for time-dependent fission gas diffusion in columnar grains tailored for fuel performance applications

M. Di Gennaro, D. Pizzocri, F.A.B. Silva, G. Zullo, S. Lorenzi, A. Cammi and L. Luzzi
Nuclear Engineering and Technology 58 (6) 104178 (2026)
https://doi.org/10.1016/j.net.2026.104178

Component‐Based Model‐Order Reduction With Mortar Tied Contact for Nonlinear Quasi‐Static Mechanical Problems

Stephan Ritzert, Jannick Kehls, Stefanie Reese and Tim Brepols
International Journal for Numerical Methods in Engineering 126 (8) (2025)
https://doi.org/10.1002/nme.70041

Two-Stage Model Reduction Approaches for the Efficient and Certified Solution of Parametrized Optimal Control Problems

Hendrik Kleikamp and Lukas Renelt
Journal of Scientific Computing 104 (3) (2025)
https://doi.org/10.1007/s10915-025-02988-w

Reduced basis method based on a posteriori error estimate for the parameterized Allen-Cahn equation

Liang Wu, Mejdi Azaïez, Tomás Chacón Rebollo and Chuanju Xu
Journal of Computational Physics 540 114278 (2025)
https://doi.org/10.1016/j.jcp.2025.114278

A Least-Squares-Based Neural Network (LS-Net) for Solving Linear Parametric PDEs

Shima Baharlouei, Jamie M. Taylor, Carlos Uriarte and David Pardo
Computer Methods in Applied Mechanics and Engineering 437 117757 (2025)
https://doi.org/10.1016/j.cma.2025.117757

Adaptive reduced basis trust region methods for parabolic inverse problems

Michael Kartmann, Benedikt Klein, Mario Ohlberger, Thomas Schuster and Stefan Volkwein
Inverse Problems 41 (12) 125006 (2025)
https://doi.org/10.1088/1361-6420/ae2a66

The non-intrusive reduced basis two-grid method applied to sensitivity analysis

Elise Grosjean and Bernd Simeon
ESAIM: Mathematical Modelling and Numerical Analysis 59 (1) 101 (2025)
https://doi.org/10.1051/m2an/2024044

Model Order Reduction for Seismic Applications

Rhys Hawkins, Muhammad Hamza Khalid, Matthias Schlottbom and Kathrin Smetana
SIAM Journal on Scientific Computing 47 (5) B1045 (2025)
https://doi.org/10.1137/24M1667737

An Adaptive Hierarchical Ensemble Kalman Filter with Reduced Basis Models

Francesco A. B. Silva, Cecilia Pagliantini and Karen Veroy
SIAM/ASA Journal on Uncertainty Quantification 13 (1) 140 (2025)
https://doi.org/10.1137/24M1653690

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

Residual-Based Stabilized Reduced-Order Models of the Transient Convection–Diffusion–Reaction Equation Obtained Through Discrete and Continuous Projection

Eric Parish, Masayuki Yano, Irina Tezaur and Traian Iliescu
Archives of Computational Methods in Engineering 32 (3) 1885 (2025)
https://doi.org/10.1007/s11831-024-10197-1

Frequency-Based Reduced Models from Purely Time-Domain Data via Data Informativity

Michael S. Ackermann and Serkan Gugercin
SIAM Journal on Scientific Computing 47 (2) A1225 (2025)
https://doi.org/10.1137/23M1624130

A Reduced Order Model of the Thermal Profile of the Rolls for the Real-Time Control System

Dmytro Svyetlichnyy
Energies 18 (15) 4005 (2025)
https://doi.org/10.3390/en18154005

A new hybrid reduced order modeling for parametrized Navier–Stokes equations in stream-vorticity formulation

Tao Zhang, Hui Xu, Lei Guo and Xinlong Feng
Physics of Fluids 36 (6) (2024)
https://doi.org/10.1063/5.0202509

Accelerated construction of projection-based reduced-order models via incremental approaches

Eki Agouzal and Tommaso Taddei
Advanced Modeling and Simulation in Engineering Sciences 11 (1) (2024)
https://doi.org/10.1186/s40323-024-00263-5

Projection-Based Dimensional Reduction of Adaptively Refined Nonlinear Models

Clayton Little and Charbel Farhat
Communications on Applied Mathematics and Computation 6 (3) 1779 (2024)
https://doi.org/10.1007/s42967-023-00308-3

MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals

Hendrik Fischer, Julian Roth, Thomas Wick, Ludovic Chamoin and Amelie Fau
Journal of Computational Physics 504 112863 (2024)
https://doi.org/10.1016/j.jcp.2024.112863

Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation

Julian Koellermeier, Philipp Krah and Jonas Kusch
Advances in Computational Mathematics 50 (4) (2024)
https://doi.org/10.1007/s10444-024-10175-y

Applications of a space-time FOSLS formulation for parabolic PDEs

Gregor Gantner and Rob Stevenson
IMA Journal of Numerical Analysis 44 (1) 58 (2024)
https://doi.org/10.1093/imanum/drad012

Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure

Sridhar Chellappa, Lihong Feng and Peter Benner
Computer Methods in Applied Mechanics and Engineering 420 116712 (2024)
https://doi.org/10.1016/j.cma.2023.116712

A posteriori error estimation for model order reduction of parametric systems

Lihong Feng, Sridhar Chellappa and Peter Benner
Advanced Modeling and Simulation in Engineering Sciences 11 (1) (2024)
https://doi.org/10.1186/s40323-024-00260-8

Parametric energy conserving sampling and weighting for the thermal analysis of Selective Laser Melting

Mohamed Amine Ben Yahmed and Frank Naets
Computational Mechanics 73 (6) 1401 (2024)
https://doi.org/10.1007/s00466-023-02416-6

Calibration-Based ALE Model Order Reduction for Hyperbolic Problems with Self-Similar Travelling Discontinuities

Monica Nonino and Davide Torlo
Journal of Scientific Computing 101 (3) (2024)
https://doi.org/10.1007/s10915-024-02694-z

A projection‐based reduced‐order model for parametric quasi‐static nonlinear mechanics using an open‐source industrial code

Eki Agouzal, Jean‐Philippe Argaud, Michel Bergmann, Guilhem Ferté and Tommaso Taddei
International Journal for Numerical Methods in Engineering 125 (4) (2024)
https://doi.org/10.1002/nme.7385

Finite word-length optimal simulation for high-dimensional dynamical systems: Examples of tensegrity structures

Yuling Shen, Muhao Chen and Robert E. Skelton
Mechanical Systems and Signal Processing 215 111415 (2024)
https://doi.org/10.1016/j.ymssp.2024.111415

MCMS-RBM: Multicomponent Multistate Reduced Basis Method Toward Rapid Generation of Phase Diagrams for the Lifshitz–Petrich Model

Yajie Ji, Lijie Ji, Yanlai Chen and Zhenli Xu
SIAM Journal on Scientific Computing 46 (6) B785 (2024)
https://doi.org/10.1137/23M1596831

Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems

Lihong Feng, Luigi Lombardi, Giulio Antonini and Peter Benner
International Journal for Numerical Methods in Engineering 124 (23) 5312 (2023)
https://doi.org/10.1002/nme.7348

Hybrid data-driven closure strategies for reduced order modeling

Anna Ivagnes, Giovanni Stabile, Andrea Mola, Traian Iliescu and Gianluigi Rozza
Applied Mathematics and Computation 448 127920 (2023)
https://doi.org/10.1016/j.amc.2023.127920

Numerical Analysis of Transient State Heat Transfer by Spectral Method Based on POD Reduced-Order Extrapolation Algorithm

Zhenggang Ba and Ye Wang
Applied Sciences 13 (11) 6665 (2023)
https://doi.org/10.3390/app13116665

Fast and reliable reduced‐order models for cardiac electrophysiology

Sridhar Chellappa, Barış Cansız, Lihong Feng, Peter Benner and Michael Kaliske
GAMM-Mitteilungen 46 (3-4) (2023)
https://doi.org/10.1002/gamm.202370014

Error estimate of the Non-Intrusive Reduced Basis (NIRB) two-grid method with parabolic equations

Elise Grosjean and Yvon Maday
The SMAI Journal of computational mathematics 9 227 (2023)
https://doi.org/10.5802/smai-jcm.100

Model-order reduction for hyperbolic relaxation systems

Sara Grundel and Michael Herty
International Journal of Nonlinear Sciences and Numerical Simulation 24 (7) 2763 (2023)
https://doi.org/10.1515/ijnsns-2021-0192

Adaptive piecewise Poly-Sinc methods for function approximation

Omar A. Khalil, Hany A. El-Sharkawy, Maha Youssef and Gerd Baumann
Applied Numerical Mathematics 186 1 (2023)
https://doi.org/10.1016/j.apnum.2022.12.016

A reduced basis ensemble Kalman method

Francesco A. B. Silva, Cecilia Pagliantini, Martin Grepl and Karen Veroy
GEM - International Journal on Geomathematics 14 (1) (2023)
https://doi.org/10.1007/s13137-023-00235-8

A reduced order modeling approach with Petrov–Galerkin projection based on hybrid snapshot simulation in Semilinear-PDEs

Feng Bai
Journal of Computational Science 67 101969 (2023)
https://doi.org/10.1016/j.jocs.2023.101969

Reduced order modeling for parametrized generalized Newtonian fluid flows

R. Reyes, O. Ruz, C. Bayona-Roa, E. Castillo and A. Tello
Journal of Computational Physics 484 112086 (2023)
https://doi.org/10.1016/j.jcp.2023.112086

A New Certified Hierarchical and Adaptive RB-ML-ROM Surrogate Model for Parametrized PDEs

Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler and Tizian Wenzel
SIAM Journal on Scientific Computing 45 (3) A1039 (2023)
https://doi.org/10.1137/22M1493318

Model order reduction for deforming domain problems in a time‐continuous space‐time setting

Fabian Key, Max von Danwitz, Francesco Ballarin and Gianluigi Rozza
International Journal for Numerical Methods in Engineering 124 (23) 5125 (2023)
https://doi.org/10.1002/nme.7342

A reduced order model for the finite element approximation of eigenvalue problems

Fleurianne Bertrand, Daniele Boffi and Abdul Halim
Computer Methods in Applied Mechanics and Engineering 404 115696 (2023)
https://doi.org/10.1016/j.cma.2022.115696

Optimal control of parameterized stationary Maxwell's system: Reduced basis, convergence analysis, and a posteriori error estimates

Mathematical Control and Related Fields 13 (1) 431 (2023)
https://doi.org/10.3934/mcrf.2022003

No pressure? Energy-consistent ROMs for the incompressible Navier-Stokes equations with time-dependent boundary conditions

H. Rosenberger and B. Sanderse
Journal of Computational Physics 491 112405 (2023)
https://doi.org/10.1016/j.jcp.2023.112405

An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

Omar A. Khalil and Gerd Baumann
Axioms 12 (3) 227 (2023)
https://doi.org/10.3390/axioms12030227

Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations

Omar Khalil, Hany El-Sharkawy, Maha Youssef and Gerd Baumann
Algorithms 15 (9) 320 (2022)
https://doi.org/10.3390/a15090320

An Efficient QSC Approximation of Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations with Variably Diffusive Coefficients

Jun Liu and Hongfei Fu
Journal of Scientific Computing 93 (2) (2022)
https://doi.org/10.1007/s10915-022-02007-2

An Efficient Chorin–Temam Projection Proper Orthogonal Decomposition Based Reduced-Order Model for Nonstationary Stokes Equations

Xi Li, Yan Luo and Minfu Feng
Journal of Scientific Computing 93 (3) (2022)
https://doi.org/10.1007/s10915-022-02032-1

Metamodeling techniques for CPU-intensive simulation-based design optimization: a survey

Hanane Khatouri, Tariq Benamara, Piotr Breitkopf and Jean Demange
Advanced Modeling and Simulation in Engineering Sciences 9 (1) (2022)
https://doi.org/10.1186/s40323-022-00214-y

Model order reduction for compressible flows solved using the discontinuous Galerkin methods

Jian Yu and Jan S. Hesthaven
Journal of Computational Physics 468 111452 (2022)
https://doi.org/10.1016/j.jcp.2022.111452

A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells

M. Landstorfer, M. Ohlberger, S. Rave and M. Tacke
European Journal of Applied Mathematics 1 (2022)
https://doi.org/10.1017/S0956792522000353

An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems

Angelo Iollo, Giulia Sambataro and Tommaso Taddei
International Journal for Numerical Methods in Engineering 123 (12) 2894 (2022)
https://doi.org/10.1002/nme.6964

Error analysis of a stable reduced order model based on the proper orthogonal decomposition method for the Allen–Cahn–Navier–Stokes system

Dongqin Chen, Qiuqi Li and Huailing Song
Computer Methods in Applied Mechanics and Engineering 401 115661 (2022)
https://doi.org/10.1016/j.cma.2022.115661

Goal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations

Michael K. Sleeman and Masayuki Yano
Computer Methods in Applied Mechanics and Engineering 388 114206 (2022)
https://doi.org/10.1016/j.cma.2021.114206

MicroROM: An efficient and accurate reduced order method to solve many-query problems in micro-motility

Nicola Giuliani, Martin W. Hess, Antonio DeSimone and Gianluigi Rozza
ESAIM: Mathematical Modelling and Numerical Analysis 56 (4) 1151 (2022)
https://doi.org/10.1051/m2an/2022038

Reduced order models for the incompressible Navier‐Stokes equations on collocated grids using a ‘discretize‐then‐project’ approach

Sabrina Kelbij Star, Benjamin Sanderse, Giovanni Stabile, Gianluigi Rozza and Joris Degroote
International Journal for Numerical Methods in Fluids 93 (8) 2694 (2021)
https://doi.org/10.1002/fld.4994

Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage

Nanda Kishore Bellam Muralidhar, Natalie Rauter, Andrey Mikhaylenko, Rolf Lammering and Dirk A. Lorenz
Modelling 2 (4) 591 (2021)
https://doi.org/10.3390/modelling2040031

Reducing sensors for transient heat transfer problems by means of variational data assimilation

Amina Benaceur
The SMAI Journal of computational mathematics 7 1 (2021)
https://doi.org/10.5802/smai-jcm.68

Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations

Wayne Isaac Tan Uy and Benjamin Peherstorfer
ESAIM: Mathematical Modelling and Numerical Analysis 55 (3) 735 (2021)
https://doi.org/10.1051/m2an/2021010

Accelerating CFD solver computation time with reduced‐order modeling in a multigrid environment

Niklas Karcher and Marcel Wallraff
International Journal for Numerical Methods in Fluids 93 (2) 462 (2021)
https://doi.org/10.1002/fld.4892

L1-Based Reduced Over Collocation and Hyper Reduction for Steady State and Time-Dependent Nonlinear Equations

Yanlai Chen, Lijie Ji, Akil Narayan and Zhenli Xu
Journal of Scientific Computing 87 (1) (2021)
https://doi.org/10.1007/s10915-021-01416-z

Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem

Kevin Williamson, Heyrim Cho and Bedřich Sousedík
Computational Geosciences 25 (3) 1191 (2021)
https://doi.org/10.1007/s10596-021-10048-z

The DGDD method for reduced-order modeling of conservation laws

Sébastien Riffaud, Michel Bergmann, Charbel Farhat, Sebastian Grimberg and Angelo Iollo
Journal of Computational Physics 437 110336 (2021)
https://doi.org/10.1016/j.jcp.2021.110336

A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems

Monica Nonino, Francesco Ballarin and Gianluigi Rozza
Fluids 6 (6) 229 (2021)
https://doi.org/10.3390/fluids6060229

Greedy maximin distance sampling based model order reduction of prestressed and parametrized abdominal aortic aneurysms

Alexander Schein and Michael W. Gee
Advanced Modeling and Simulation in Engineering Sciences 8 (1) (2021)
https://doi.org/10.1186/s40323-021-00203-7

A space-time certified reduced basis method for quasilinear parabolic partial differential equations

Michael Hinze and Denis Korolev
Advances in Computational Mathematics 47 (3) (2021)
https://doi.org/10.1007/s10444-021-09860-z

An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation

Yanlai Chen, Sigal Gottlieb, Lijie Ji and Yvon Maday
Journal of Computational Physics 444 110545 (2021)
https://doi.org/10.1016/j.jcp.2021.110545

Model order reduction of hyperbolic systems focusing on district heating networks

Markus Rein, Jan Mohring, Tobias Damm and Axel Klar
Journal of the Franklin Institute 358 (15) 7674 (2021)
https://doi.org/10.1016/j.jfranklin.2021.04.002