EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues ESAIM: M2AN, 47 3 (2013) 859-873 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:

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 104178 (2026)
https://doi.org/10.1016/j.net.2026.104178

A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems

Alexander V. Mamonov and Maxim A. Olshanskii
SIAM Journal on Numerical Analysis 63 (1) 239 (2025)
https://doi.org/10.1137/23M1616844

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

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

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

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

Convergence and efficiency of global bases using proper orthogonal decomposition for capturing wind turbine wake aerodynamics

Juan Felipe Céspedes Moreno, Juan Pablo Murcia León and Søren Juhl Andersen
Wind Energy Science 10 (3) 597 (2025)
https://doi.org/10.5194/wes-10-597-2025

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

Reduced Basis modelling of turbulence with well-developed inertial range

Alejandro Bandera Moreno, Cristina Caravaca García, Tomás Chacón Rebollo, Enrique Delgado Ávila and Macarena Gómez Mármol
Computer Methods in Applied Mechanics and Engineering 419 116683 (2024)
https://doi.org/10.1016/j.cma.2023.116683

Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies

Stefano Riva, Carolina Introini and Antonio Cammi
Applied Mathematical Modelling 135 243 (2024)
https://doi.org/10.1016/j.apm.2024.06.040

A reduced basis method for frictional contact problems formulated with Nitsche’s method

Idrissa Niakh, Guillaume Drouet, Virginie Ehrlacher and Alexandre Ern
The SMAI Journal of computational mathematics 10 29 (2024)
https://doi.org/10.5802/smai-jcm.105

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

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

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

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 in Contour Integral Methods for Parametric PDEs

Nicola Guglielmi and Mattia Manucci
SIAM Journal on Scientific Computing 45 (4) A1711 (2023)
https://doi.org/10.1137/22M1520189

Exponential tractability of L2-approximation with function values

David Krieg, Paweł Siedlecki, Mario Ullrich and Henryk Woźniakowski
Advances in Computational Mathematics 49 (2) (2023)
https://doi.org/10.1007/s10444-023-10021-7

A reduced basis stabilization for the unsteady Stokes and Navier-Stokes equations

Shafqat Ali, Francesco Ballarin and Gianluigi Rozza
Advances in Computational Science and Engineering 1 (2) 180 (2023)
https://doi.org/10.3934/acse.2023008

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

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

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

Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design

Andrea Petrocchi, Matthias K. Scharrer and Stefan Volkwein
IFAC-PapersOnLine 55 (26) 149 (2022)
https://doi.org/10.1016/j.ifacol.2022.10.392

Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method

Moreno Pintore, Federico Pichi, Martin Hess, Gianluigi Rozza and Claudio Canuto
Advances in Computational Mathematics 47 (1) (2021)
https://doi.org/10.1007/s10444-020-09827-6

A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization

Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler and Stefan Volkwein
ESAIM: Mathematical Modelling and Numerical Analysis 55 (3) 1239 (2021)
https://doi.org/10.1051/m2an/2021019

On the stability and accuracy of the empirical interpolation method and gravitational wave surrogates

Manuel Tiglio and Aarón Villanueva
Classical and Quantum Gravity 38 (13) 135011 (2021)
https://doi.org/10.1088/1361-6382/abf894

A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability and uniform point distribution

Tizian Wenzel, Gabriele Santin and Bernard Haasdonk
Journal of Approximation Theory 262 105508 (2021)
https://doi.org/10.1016/j.jat.2020.105508

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

Projection-based model reduction with dynamically transformed modes

Felix Black, Philipp Schulze and Benjamin Unger
ESAIM: Mathematical Modelling and Numerical Analysis 54 (6) 2011 (2020)
https://doi.org/10.1051/m2an/2020046

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

Han Gao, Jian-Xun Wang and Matthew J. Zahr
Physica D: Nonlinear Phenomena 412 132614 (2020)
https://doi.org/10.1016/j.physd.2020.132614

A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction

Tommaso Taddei
SIAM Journal on Scientific Computing 42 (2) A997 (2020)
https://doi.org/10.1137/19M1271270

A reduced basis method for parametrized variational inequalities applied to contact mechanics

Amina Benaceur, Alexandre Ern and Virginie Ehrlacher
International Journal for Numerical Methods in Engineering 121 (6) 1170 (2020)
https://doi.org/10.1002/nme.6261

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 hybrid reduced order method for modelling turbulent heat transfer problems

Sokratia Georgaka, Giovanni Stabile, Kelbij Star, Gianluigi Rozza and Michael J. Bluck
Computers & Fluids 208 104615 (2020)
https://doi.org/10.1016/j.compfluid.2020.104615

Quantification of Uncertainty: Improving Efficiency and Technology

Babak Maboudi Afkham, Nicolò Ripamonti, Qian Wang and Jan S. Hesthaven
Lecture Notes in Computational Science and Engineering, Quantification of Uncertainty: Improving Efficiency and Technology 137 67 (2020)
https://doi.org/10.1007/978-3-030-48721-8_4

Feedback control of parametrized PDEs via model order reduction and dynamic programming principle

Alessandro Alla, Bernard Haasdonk and Andreas Schmidt
Advances in Computational Mathematics 46 (1) (2020)
https://doi.org/10.1007/s10444-020-09744-8

Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations

Rezvan Ghaffari and Farideh Ghoreishi
Bulletin of the Iranian Mathematical Society 45 (5) 1487 (2019)
https://doi.org/10.1007/s41980-019-00210-w

Adaptive non-intrusive reduced order modeling for compressible flows

Jian Yu, Chao Yan, Zhenhua Jiang, Wu Yuan and Shusheng Chen
Journal of Computational Physics 397 108855 (2019)
https://doi.org/10.1016/j.jcp.2019.07.053

Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise

Yong Liu, Tianheng Chen, Yanlai Chen and Chi-Wang Shu
Journal of Scientific Computing 81 (3) 1210 (2019)
https://doi.org/10.1007/s10915-019-00976-5

Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

Benjamin Peherstorfer, Karen Willcox and Max Gunzburger
SIAM Review 60 (3) 550 (2018)
https://doi.org/10.1137/16M1082469

Reduced basis approximation of large scale parametric algebraic Riccati equations

Andreas Schmidt and Bernard Haasdonk
ESAIM: Control, Optimisation and Calculus of Variations 24 (1) 129 (2018)
https://doi.org/10.1051/cocv/2017011

A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems

Amina Benaceur, Virginie Ehrlacher, Alexandre Ern and Sébastien Meunier
SIAM Journal on Scientific Computing 40 (5) A2930 (2018)
https://doi.org/10.1137/17M1149638

A Localization Strategy for Data Assimilation; Application to State Estimation and Parameter Estimation

Tommaso Taddei and Anthony T. Patera
SIAM Journal on Scientific Computing 40 (2) B611 (2018)
https://doi.org/10.1137/17M1116830

Greedy Nonintrusive Reduced Order Model for Fluid Dynamics

Wang Chen, Jan S. Hesthaven, Bai Junqiang, et al.
AIAA Journal 56 (12) 4927 (2018)
https://doi.org/10.2514/1.J056161

A stabilized POD model for turbulent flows over a range of Reynolds numbers: Optimal parameter sampling and constrained projection

Lambert Fick, Yvon Maday, Anthony T. Patera and Tommaso Taddei
Journal of Computational Physics 371 214 (2018)
https://doi.org/10.1016/j.jcp.2018.05.027

Reduced-Order Modeling (ROM) for Simulation and Optimization

Peter Benner, Maike Braukmüller and Sara Grundel
Reduced-Order Modeling (ROM) for Simulation and Optimization 99 (2018)
https://doi.org/10.1007/978-3-319-75319-5_5

Reduced Basis Methods for Uncertainty Quantification

Peng Chen, Alfio Quarteroni and Gianluigi Rozza
SIAM/ASA Journal on Uncertainty Quantification 5 (1) 813 (2017)
https://doi.org/10.1137/151004550

Reduced order homogenization for viscoplastic composite materials including dissipative imperfect interfaces

Matthias Leuschner and Felix Fritzen
Mechanics of Materials 104 121 (2017)
https://doi.org/10.1016/j.mechmat.2016.10.008

Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems

Marie Billaud-Friess and Anthony Nouy
SIAM Journal on Scientific Computing 39 (4) A1766 (2017)
https://doi.org/10.1137/16M1071493

Multifidelity importance sampling

Benjamin Peherstorfer, Tiangang Cui, Youssef Marzouk and Karen Willcox
Computer Methods in Applied Mechanics and Engineering 300 490 (2016)
https://doi.org/10.1016/j.cma.2015.12.002

A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method

L. Iapichino, S. Volkwein and A. Wesche
Mathematical and Computer Modelling of Dynamical Systems 22 (4) 362 (2016)
https://doi.org/10.1080/13873954.2016.1198387

Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD–Galerkin method and a vascular shape parametrization

Francesco Ballarin, Elena Faggiano, Sonia Ippolito, et al.
Journal of Computational Physics 315 609 (2016)
https://doi.org/10.1016/j.jcp.2016.03.065

Error bounds for POD expansions of parameterized transient temperatures

M. Azaïez, F. Ben Belgacem and T. Chacón Rebollo
Computer Methods in Applied Mechanics and Engineering (2016)
https://doi.org/10.1016/j.cma.2016.02.016

Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures

Kathrin Smetana and Anthony T. Patera
SIAM Journal on Scientific Computing 38 (5) A3318 (2016)
https://doi.org/10.1137/15M1009603

pyMOR -- Generic Algorithms and Interfaces for Model Order Reduction

René Milk, Stephan Rave and Felix Schindler
SIAM Journal on Scientific Computing 38 (5) S194 (2016)
https://doi.org/10.1137/15M1026614

Numerical Mathematics and Advanced Applications ENUMATH 2015

Mario Ohlberger, Stephan Rave and Felix Schindler
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2015 112 317 (2016)
https://doi.org/10.1007/978-3-319-39929-4_31

A reduced basis Kalman filter for parametrized partial differential equations

Markus Dihlmann and Bernard Haasdonk
ESAIM: Control, Optimisation and Calculus of Variations 22 (3) 625 (2016)
https://doi.org/10.1051/cocv/2015019

Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems

Markus A. Dihlmann and Bernard Haasdonk
Computational Optimization and Applications 60 (3) 753 (2015)
https://doi.org/10.1007/s10589-014-9697-1

An efficient goal‐oriented sampling strategy using reduced basis method for parametrized elastodynamic problems

K. C. Hoang, P. Kerfriden, B. C. Khoo and S. P. A. Bordas
Numerical Methods for Partial Differential Equations 31 (2) 575 (2015)
https://doi.org/10.1002/num.21932

Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation

Benjamin Peherstorfer, Pablo Gómez and Hans-Joachim Bungartz
Advances in Computational Mathematics 41 (5) 1365 (2015)
https://doi.org/10.1007/s10444-015-9421-4

Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates

Benjamin Peherstorfer and Karen Willcox
SIAM Journal on Scientific Computing 37 (4) A2123 (2015)
https://doi.org/10.1137/140989169

Accelerating PDE constrained optimization by the reducedbasis method: application to batch chromatography

Yongjin Zhang, Lihong Feng, Suzhou Li and Peter Benner
International Journal for Numerical Methods in Engineering 104 (11) 983 (2015)
https://doi.org/10.1002/nme.4950

Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models

O. Burkovska, B. Haasdonk, J. Salomon and B. Wohlmuth
SIAM Journal on Financial Mathematics 6 (1) 685 (2015)
https://doi.org/10.1137/140981216

Data-driven combined state and parameter reduction for inverse problems

Christian Himpe and Mario Ohlberger
Advances in Computational Mathematics 41 (5) 1343 (2015)
https://doi.org/10.1007/s10444-015-9420-5

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

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

A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and A Posteriori error estimation

Jens L Eftang and Anthony T Patera
Advanced Modeling and Simulation in Engineering Sciences 1 (1) 3 (2014)
https://doi.org/10.1186/2213-7467-1-3

Double greedy algorithms: Reduced basis methods for transport dominated problems

Wolfgang Dahmen, Christian Plesken and Gerrit Welper
ESAIM: Mathematical Modelling and Numerical Analysis 48 (3) 623 (2014)
https://doi.org/10.1051/m2an/2013103

A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems

D. Wirtz, D. C. Sorensen and B. Haasdonk
SIAM Journal on Scientific Computing 36 (2) A311 (2014)
https://doi.org/10.1137/120899042

A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM–POD), for a 2D incompressible fluid flow

N. Akkari, A. Hamdouni, E. Liberge and M. Jazar
Journal of Computational and Applied Mathematics 270 522 (2014)
https://doi.org/10.1016/j.cam.2013.11.025

Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing

Mario Ohlberger and Stephan Rave
Comptes Rendus. Mathématique 351 (23-24) 901 (2013)
https://doi.org/10.1016/j.crma.2013.10.028

A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation

D. Chapelle, A. Gariah, P. Moireau and J. Sainte-Marie
ESAIM: Mathematical Modelling and Numerical Analysis 47 (6) 1821 (2013)
https://doi.org/10.1051/m2an/2013090