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DOI: 10.1137/18M1204802
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Mathematical Models and Methods in Applied Sciences 24 (09) 1903 (2014)
DOI: 10.1142/S0218202514500110
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Computer Methods in Applied Mechanics and Engineering 298 548 (2016)
DOI: 10.1016/j.cma.2015.10.003
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Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

Claudia M. Colciago and Simone Deparis
Frontiers in Applied Mathematics and Statistics 4 (2018)
DOI: 10.3389/fams.2018.00018
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Computers & Chemical Engineering 96 237 (2017)
DOI: 10.1016/j.compchemeng.2016.09.017
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Daniel Wirtz and Wolfgang Nowak
Environmental Modelling & Software 93 180 (2017)
DOI: 10.1016/j.envsoft.2016.10.003
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An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations

Yongjin Zhang, Lihong Feng, Suzhou Li and Peter Benner
IFAC-PapersOnLine 48 (1) 9 (2015)
DOI: 10.1016/j.ifacol.2015.05.096
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An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations

Yongjin Zhang, Lihong Feng, Suzhou Li and Peter Benner
SIAM Journal on Scientific Computing 37 (6) B910 (2015)
DOI: 10.1137/140998603
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An empirical interpolation approach to reduced basis approximations for variational inequalities

E. Bader, Z. Zhang and K. Veroy
Mathematical and Computer Modelling of Dynamical Systems 22 (4) 345 (2016)
DOI: 10.1080/13873954.2016.1198388
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A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method

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Mathematical and Computer Modelling of Dynamical Systems 22 (4) 362 (2016)
DOI: 10.1080/13873954.2016.1198387
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On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics

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Journal of Scientific Computing (2017)
DOI: 10.1007/s10915-017-0419-6
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Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai and Gianluigi Rozza
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DOI: 10.1186/s40323-016-0076-6
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WITHDRAWN: An algorithm for the study of parameter dependence applied to hyperbolic systems

Gianni Arioli
Applied Mathematical Modelling (2016)
DOI: 10.1016/j.apm.2016.08.012
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Omar Ghattas and Karen Willcox
Acta Numerica 30 445 (2021)
DOI: 10.1017/S0962492921000064
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Model reduction using L 1 -norm minimization as an application to nonlinear hyperbolic problems

R. Abgrall and R. Crisovan
International Journal for Numerical Methods in Fluids 87 (12) 628 (2018)
DOI: 10.1002/fld.4507
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Accurate and efficient evaluation of failure probability for partial different equations with random input data

Peng Chen and Alfio Quarteroni
Computer Methods in Applied Mechanics and Engineering 267 233 (2013)
DOI: 10.1016/j.cma.2013.08.016
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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)
DOI: 10.1137/15M1009603
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Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling

Benjamin Peherstorfer
SIAM Journal on Scientific Computing 42 (5) A2803 (2020)
DOI: 10.1137/19M1257275
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CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

MARTIN A. GREPL
Mathematical Models and Methods in Applied Sciences 22 (03) 1150015 (2012)
DOI: 10.1142/S0218202511500151
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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)
DOI: 10.1137/130932715
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Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

Martin Drohmann, Bernard Haasdonk and Mario Ohlberger
SIAM Journal on Scientific Computing 34 (2) A937 (2012)
DOI: 10.1137/10081157X
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A Reduced Basis Method for Parametrized Variational Inequalities

B. Haasdonk, J. Salomon and B. Wohlmuth
SIAM Journal on Numerical Analysis 50 (5) 2656 (2012)
DOI: 10.1137/110835372
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Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients

Howard C. Elman and Qifeng Liao
SIAM/ASA Journal on Uncertainty Quantification 1 (1) 192 (2013)
DOI: 10.1137/120881841
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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)
DOI: 10.1137/120899042
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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)
DOI: 10.1051/cocv/2015019
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Lyapunov-Based Error Bounds for the Reduced-Basis Method

Robert O’Connor
IFAC-PapersOnLine 49 (8) 1 (2016)
DOI: 10.1016/j.ifacol.2016.07.409
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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)
DOI: 10.1016/j.jcp.2016.03.065
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A fast, certified and “tuning free” two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems

K.C. Hoang, P. Kerfriden and S.P.A. Bordas
Computer Methods in Applied Mechanics and Engineering 298 121 (2016)
DOI: 10.1016/j.cma.2015.08.016
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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)
DOI: 10.1137/18M1165840
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A certified natural-norm successive constraint method for parametric inf–sup lower bounds

Yanlai Chen
Applied Numerical Mathematics 99 98 (2016)
DOI: 10.1016/j.apnum.2015.09.003
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Finite Volumes for Complex Applications VI Problems & Perspectives

Martin Drohmann, Bernard Haasdonk and Mario Ohlberger
Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 369 (2011)
DOI: 10.1007/978-3-642-20671-9_39
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Christopher Spannring, Sebastian Ullmann and Jens Lang
Lecture Notes in Computational Science and Engineering, Recent Advances in Computational Engineering 124 145 (2018)
DOI: 10.1007/978-3-319-93891-2_9
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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)
DOI: 10.1051/m2an/2020046
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Accelerating CFD solver computation time with reduced‐order modeling in a multigrid environment

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International Journal for Numerical Methods in Fluids 93 (2) 462 (2021)
DOI: 10.1002/fld.4892
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Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method

K.C. Hoang, B.C. Khoo, G.R. Liu, N.C. Nguyen and A.T. Patera
Inverse Problems in Science and Engineering 21 (8) 1310 (2013)
DOI: 10.1080/17415977.2012.757315
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A Flow feature detection framework for large-scale computational data based on incremental proper orthogonal decomposition and data mining

Eric D. Robertson, Yi Wang, Kapil Pant, Matthew J. Grismer and José A. Camberos
International Journal of Computational Fluid Dynamics 32 (6-7) 261 (2018)
DOI: 10.1080/10618562.2018.1508657
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A Reduced Basis Approach for Modeling the Movement of Nuclear Reactor Control Rods

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Journal of Nuclear Engineering and Radiation Science 2 (2) 021019 (2016)
DOI: 10.1115/1.4031945
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Reduced order modeling of random linear dynamical systems based on a new a posteriori error bound

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International Journal for Numerical Methods in Engineering 116 (12-13) 741 (2018)
DOI: 10.1002/nme.5942
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Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems

Sridhar Chellappa, Lihong Feng and Peter Benner
International Journal for Numerical Methods in Engineering 121 (23) 5320 (2020)
DOI: 10.1002/nme.6462
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Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction

Nguyen Thanh Son and Tatjana Stykel
SIAM Journal on Matrix Analysis and Applications 38 (2) 478 (2017)
DOI: 10.1137/15M1027097
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Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography

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SIAM Journal on Scientific Computing 39 (2) B272 (2017)
DOI: 10.1137/16M1062880
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Reduced Basis Methods for Uncertainty Quantification

Peng Chen, Alfio Quarteroni and Gianluigi Rozza
SIAM/ASA Journal on Uncertainty Quantification 5 (1) 813 (2017)
DOI: 10.1137/151004550
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SIAM Review 60 (3) 550 (2018)
DOI: 10.1137/16M1082469
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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)
DOI: 10.1137/16M1071493
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Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots

G. Welper
SIAM Journal on Scientific Computing 39 (4) A1225 (2017)
DOI: 10.1137/16M1059904
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Data-Driven Reduced Model Construction with Time-Domain Loewner Models

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SIAM Journal on Scientific Computing 39 (5) A2152 (2017)
DOI: 10.1137/16M1094750
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Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification

R. Crisovan, D. Torlo, R. Abgrall and S. Tokareva
Journal of Computational and Applied Mathematics 348 466 (2019)
DOI: 10.1016/j.cam.2018.09.018
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Greedy Nonintrusive Reduced Order Model for Fluid Dynamics

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AIAA Journal 56 (12) 4927 (2018)
DOI: 10.2514/1.J056161
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A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn–Hilliard Phase-Field System Based on Cut Finite Elements

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Journal of Scientific Computing 89 (1) (2021)
DOI: 10.1007/s10915-021-01623-8
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Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations

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Computers & Fluids 173 273 (2018)
DOI: 10.1016/j.compfluid.2018.01.035
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Data-driven reduced order modeling for time-dependent problems

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Computer Methods in Applied Mechanics and Engineering 345 75 (2019)
DOI: 10.1016/j.cma.2018.10.029
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Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

G. Rozza, D. B. P. Huynh and A. T. Patera
Archives of Computational Methods in Engineering 15 (3) 229 (2008)
DOI: 10.1007/s11831-008-9019-9
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Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation

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Calcolo 46 (3) 157 (2009)
DOI: 10.1007/s10092-009-0005-x
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Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM

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Computer Physics Communications 249 107013 (2020)
DOI: 10.1016/j.cpc.2019.107013
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A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module

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Computing 90 (3-4) 165 (2010)
DOI: 10.1007/s00607-010-0110-3
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Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

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Journal of Computational Physics 384 289 (2019)
DOI: 10.1016/j.jcp.2019.01.031
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POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations

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Computer Methods in Applied Mechanics and Engineering 311 151 (2016)
DOI: 10.1016/j.cma.2016.08.006
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Spectral and High Order Methods for Partial Differential Equations

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Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 179 (2011)
DOI: 10.1007/978-3-642-15337-2_15
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Reduced Basis Approaches in Time-Dependent Non-Coercive Settings for Modelling the Movement of Nuclear Reactor Control Rods

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DOI: 10.4208/cicp.120914.021115a
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Randomized Residual-Based Error Estimators for Parametrized Equations

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SIAM Journal on Scientific Computing 41 (2) A900 (2019)
DOI: 10.1137/18M120364X
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A multi-physics reduced order model for the analysis of Lead Fast Reactor single channel

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Annals of Nuclear Energy 87 198 (2016)
DOI: 10.1016/j.anucene.2015.09.002
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POD-DEIM reduction of computational EMG models

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DOI: 10.1016/j.jocs.2017.01.009
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Advances in DUNE 77 (2012)
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The reduced basis method applied to transport equations of a lithium-ion battery

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DOI: 10.1108/COMPEL-04-2013-0115
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Mathematics in Industry, Progress in Industrial Mathematics at ECMI 2018 30 405 (2019)
DOI: 10.1007/978-3-030-27550-1_51
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SN Applied Sciences 2 (12) (2020)
DOI: 10.1007/s42452-020-03958-7
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DOI: 10.1007/s10444-019-09701-0
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Error estimation in reduced basis method for systems with time-varying and nonlinear boundary conditions

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DOI: 10.1016/j.cma.2019.112688
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A certified model reduction approach for robust parameter optimization with PDE constraints

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DOI: 10.1007/s10444-018-9653-1
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A Reduced Generalized Multiscale Basis Method for Parametrized Groundwater Flow Problems in Heterogeneous Porous Media

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DOI: 10.1029/2018WR023954
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Certified reduced basis approximation for parametrized partial differential equations and applications

Alfio Quarteroni, Gianluigi Rozza and Andrea Manzoni
Journal of Mathematics in Industry 1 (1) (2011)
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Greedy maximin distance sampling based model order reduction of prestressed and parametrized abdominal aortic aneurysms

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Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations

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DOI: 10.1007/s41980-019-00210-w
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Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

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DOI: 10.1016/j.jcp.2015.09.046
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Reduced basis method for managed pressure drilling based on a model with local nonlinearities

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DOI: 10.1002/nme.6362
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DOI: 10.1002/nme.6324
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An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation

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DOI: 10.1016/j.jcp.2021.110545
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Optimal control of district heating networks using a reduced order model

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DOI: 10.1002/oca.2610
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Adaptive reduced order modeling for nonlinear dynamical systems through a new a posteriori error estimator: Application to uncertainty quantification

Md. Nurtaj Hossain and Debraj Ghosh
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DOI: 10.1002/nme.6365
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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)
DOI: 10.1007/s10915-019-00976-5
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DOI: 10.1080/10618562.2019.1686486
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Data-driven POD-Galerkin reduced order model for turbulent flows

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DOI: 10.1016/j.jcp.2020.109513
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Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100 (8) e201900186 (2020)
DOI: 10.1002/zamm.201900186
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Gradient-based constrained optimization using a database of linear reduced-order models

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DOI: 10.1016/j.jcp.2020.109787
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Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem

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DOI: 10.1007/s10596-021-10048-z
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Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs

Qifeng Liao and Guang Lin
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DOI: 10.1016/j.jcp.2016.04.029
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Conservative model reduction for finite-volume models

Kevin Carlberg, Youngsoo Choi and Syuzanna Sargsyan
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DOI: 10.1016/j.jcp.2018.05.019
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A stabilized POD model for turbulent flows over a range of Reynolds numbers: Optimal parameter sampling and constrained projection

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DOI: 10.1016/j.jcp.2018.05.027
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Error estimates for model order reduction of Burgers’ equation

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DOI: 10.1016/j.ifacol.2020.12.1575
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Parametric domain decomposition for accurate reduced order models: Applications of MP-LROM methodology

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Journal of Computational and Applied Mathematics 340 629 (2018)
DOI: 10.1016/j.cam.2017.11.018
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A multiscale method for model order reduction in PDE parameter estimation

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Journal of Computational and Applied Mathematics 350 19 (2019)
DOI: 10.1016/j.cam.2018.09.043
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Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations

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DOI: 10.1051/m2an/2021010
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The DGDD method for reduced-order modeling of conservation laws

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DOI: 10.1016/j.jcp.2021.110336
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Model order reduction of hyperbolic systems focusing on district heating networks

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DOI: 10.1016/j.jfranklin.2021.04.002
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Limited‐memory adaptive snapshot selection for proper orthogonal decomposition

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International Journal for Numerical Methods in Engineering 109 (2) 198 (2017)
DOI: 10.1002/nme.5283
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N. H. Nguyen, T. H. H. Le and B. C. Khoo
105 (2015)
DOI: 10.1109/ATC.2015.7388300
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Mesh-Based and Meshfree Reduced Order Phase-Field Models for Brittle Fracture: One Dimensional Problems

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Materials 12 (11) 1858 (2019)
DOI: 10.3390/ma12111858
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DOI: 10.2514/6.2017-2348
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Computational Mechanics 66 (3) 559 (2020)
DOI: 10.1007/s00466-020-01865-7
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