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).
Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
Kuan Lu, Yulin Jin, Yushu Chen, Yongfeng Yang, Lei Hou, Zhiyong Zhang, Zhonggang Li and Chao Fu Mechanical Systems and Signal Processing 123 264 (2019) https://doi.org/10.1016/j.ymssp.2019.01.018
Reduced-Order Modelling and Homogenisation in Magneto-Mechanics: A Numerical Comparison of Established Hyper-Reduction Methods
Benjamin Brands, Denis Davydov, Julia Mergheim and Paul Steinmann Mathematical and Computational Applications 24(1) 20 (2019) https://doi.org/10.3390/mca24010020
Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations
A nonintrusive reduced order modelling approach using Proper Orthogonal Decomposition and locally adaptive sparse grids
Fahad Alsayyari, Zoltán Perkó, Danny Lathouwers and Jan Leen Kloosterman Journal of Computational Physics 399 108912 (2019) https://doi.org/10.1016/j.jcp.2019.108912
A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau, Guglielmo Scovazzi and Gianluigi Rozza Computer Methods in Applied Mechanics and Engineering 347 568 (2019) https://doi.org/10.1016/j.cma.2018.12.040
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise
Christopher Spannring, Sebastian Ullmann and Jens Lang Lecture Notes in Computational Science and Engineering, Recent Advances in Computational Engineering 124 145 (2018) https://doi.org/10.1007/978-3-319-93891-2_9
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations
Multivariate predictions of local reduced‐order‐model errors and dimensions
Azam Moosavi, Răzvan Ştefănescu and Adrian Sandu International Journal for Numerical Methods in Engineering 113(3) 512 (2018) https://doi.org/10.1002/nme.5624
Parameter estimation with model order reduction for elliptic differential equations
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems
Lihong Feng, Athanasios C. Antoulas and Peter Benner ESAIM: Mathematical Modelling and Numerical Analysis 51(6) 2127 (2017) https://doi.org/10.1051/m2an/2017014
Certified Reduced Basis Approximation for the Coupling of Viscous and Inviscid Parametrized Flow Models
Efficient approximation of Sparse Jacobians for time‐implicit reduced order models
Răzvan Ştefănescu and Adrian Sandu International Journal for Numerical Methods in Fluids 83(2) 175 (2017) https://doi.org/10.1002/fld.4260
Error modeling for surrogates of dynamical systems using machine learning
Sumeet Trehan, Kevin T. Carlberg and Louis J. Durlofsky International Journal for Numerical Methods in Engineering 112(12) 1801 (2017) https://doi.org/10.1002/nme.5583
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
Projection-Based Model Order Reduction Methods for the Estimation of Vector-Valued Variables of Interest
Olivier Zahm, Marie Billaud-Friess and Anthony Nouy SIAM Journal on Scientific Computing 39(4) A1647 (2017) https://doi.org/10.1137/16M106385X
Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems
A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization
Elizabeth Qian, Martin Grepl, Karen Veroy and Karen Willcox SIAM Journal on Scientific Computing 39(5) S434 (2017) https://doi.org/10.1137/16M1081981
A reduced order model‐based preconditioner for the efficient solution of transient diffusion equations
Damiano Pasetto, Massimiliano Ferronato and Mario Putti International Journal for Numerical Methods in Engineering 109(8) 1159 (2017) https://doi.org/10.1002/nme.5320
A posteriori error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems
Ludovic Chamoin, Florent Pled, Pierre-Eric Allier and Pierre Ladevèze Computer Methods in Applied Mechanics and Engineering 327 118 (2017) https://doi.org/10.1016/j.cma.2017.08.047
Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set
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
Adaptive POD–DEIM basis construction and its application to a nonlinear population balance system
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
A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm
Jiahua Jiang, Yanlai Chen and Akil Narayan SIAM/ASA Journal on Uncertainty Quantification 4(1) 1398 (2016) https://doi.org/10.1137/16M1055736
2D Burgers equation with large Reynolds number using POD/DEIM and calibration
Yuepeng Wang, Ionel M. Navon, Xinyue Wang and Yue Cheng International Journal for Numerical Methods in Fluids 82(12) 909 (2016) https://doi.org/10.1002/fld.4249
An empirical interpolation approach to reduced basis approximations for variational inequalities
A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems
Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes
Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai and Gianluigi Rozza Advanced Modeling and Simulation in Engineering Sciences 3(1) (2016) https://doi.org/10.1186/s40323-016-0076-6
Approximate optimal projection for reduced‐order models
Assad A. Oberai and Jayanth Jagalur‐Mohan International Journal for Numerical Methods in Engineering 105(1) 63 (2016) https://doi.org/10.1002/nme.4963
A Reduced Basis Approach for Modeling the Movement of Nuclear Reactor Control Rods
Alberto Sartori, Antonio Cammi, Lelio Luzzi and Gianluigi Rozza Journal of Nuclear Engineering and Radiation Science 2(2) 021019 (2016) https://doi.org/10.1115/1.4031945
Reduced‐order modelling for linear heat conduction with parametrised moving heat sources
Global sensitivity analysis for the boundary control of an open channel
Alexandre Janon, Maëlle Nodet, Christophe Prieur and Clémentine Prieur Mathematics of Control, Signals, and Systems 28(1) (2016) https://doi.org/10.1007/s00498-015-0151-4
Goal-Oriented Error Estimation for the Reduced Basis Method, with Application to Sensitivity Analysis
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
Implicit partitioning methods for unknown parameter sets
The localized reduced basis multiscale method for two‐phase flows in porous media
S. Kaulmann, B. Flemisch, B. Haasdonk, K. ‐A. Lie and M. Ohlberger International Journal for Numerical Methods in Engineering 102(5) 1018 (2015) https://doi.org/10.1002/nme.4773
Basis generation approaches for a reduced basis linear quadratic regulator
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
A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations
Adaptive POD‐based low‐dimensional modeling supported by residual estimates
M.‐L. Rapún, F. Terragni and J. M. Vega International Journal for Numerical Methods in Engineering 104(9) 844 (2015) https://doi.org/10.1002/nme.4947
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 reduced-order model for Monte Carlo simulations of stochastic groundwater flow
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods
Jan S. Hesthaven, Benjamin Stamm and Shun Zhang ESAIM: Mathematical Modelling and Numerical Analysis 48(1) 259 (2014) https://doi.org/10.1051/m2an/2013100
A certified reduced basis method for parametrized elliptic optimal control problems
Reduced Order Methods for Modeling and Computational Reduction
Harbir Antil, Matthias Heinkenschloss and Danny C. Sorensen Reduced Order Methods for Modeling and Computational Reduction 101 (2014) https://doi.org/10.1007/978-3-319-02090-7_4
A space-time hp-interpolation-based certified reduced basis method for Burgers' equation
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