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:
Bernard Haasdonk , Mario Ohlberger
ESAIM: M2AN, 42 2 (2008) 277-302
Published online: 2008-03-27
This article has been cited by the following article(s):
292 articles | Pages:
Reduced Basis Approaches in Time-Dependent Non-Coercive Settings for Modelling the Movement of Nuclear Reactor Control Rods
Alberto Sartori, Antonio Cammi, Lelio Luzzi and Gianluigi Rozza Communications in Computational Physics 20 (1) 23 (2016) https://doi.org/10.4208/cicp.120914.021115a
A multi-physics reduced order model for the analysis of Lead Fast Reactor single channel
Alberto Sartori, Antonio Cammi, Lelio Luzzi and Gianluigi Rozza Annals of Nuclear Energy 87 198 (2016) https://doi.org/10.1016/j.anucene.2015.09.002
Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs
Qifeng Liao and Guang Lin Journal of Computational Physics 317 148 (2016) https://doi.org/10.1016/j.jcp.2016.04.029
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
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
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system
Immanuel Martini, Gianluigi Rozza and Bernard Haasdonk Advances in Computational Mathematics 41 (5) 1131 (2015) https://doi.org/10.1007/s10444-014-9396-6
Reduced basis techniques for nonlinear conservation laws
T. Taddei, S. Perotto and A. Quarteroni ESAIM: Mathematical Modelling and Numerical Analysis 49 (3) 787 (2015) https://doi.org/10.1051/m2an/2014054
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
A posteriori error estimators for linear reduced‐order models using Krylov‐based integrators
D. Amsallem and U. Hetmaniuk International Journal for Numerical Methods in Engineering 102 (5) 1238 (2015) https://doi.org/10.1002/nme.4753
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
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
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
Adaptive h‐refinement for reduced‐order models
Kevin Carlberg International Journal for Numerical Methods in Engineering 102 (5) 1192 (2015) https://doi.org/10.1002/nme.4800
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
N. H. Nguyen, T. H. H. Le and B. C. Khoo 105 (2015) https://doi.org/10.1109/ATC.2015.7388300
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) https://doi.org/10.1016/j.ifacol.2015.05.096
Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
Federico Negri, Andrea Manzoni and David Amsallem Journal of Computational Physics 303 431 (2015) https://doi.org/10.1016/j.jcp.2015.09.046
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
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) https://doi.org/10.1137/140998603
An adaptive and efficient greedy procedure for the optimal training of parametric reduced‐order models
A. Paul‐Dubois‐Taine and D. Amsallem International Journal for Numerical Methods in Engineering 102 (5) 1262 (2015) https://doi.org/10.1002/nme.4759
Peter Benner, Lihong Feng, Suzhou Li and Yongjin Zhang 103 427 (2015) https://doi.org/10.1007/978-3-319-10705-9_42
Pawan Goyal, Mian Ilyas Ahmad and Peter Benner 1177 (2015) https://doi.org/10.1109/ECC.2015.7330699
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
A POD-EIM reduced two-scale model for crystal growth
Magnus Redeker and Bernard Haasdonk Advances in Computational Mathematics 41 (5) 987 (2015) https://doi.org/10.1007/s10444-014-9367-y
Basis generation approaches for a reduced basis linear quadratic regulator
Andreas Schmidt, Markus Dihlmann and Bernard Haasdonk IFAC-PapersOnLine 48 (1) 713 (2015) https://doi.org/10.1016/j.ifacol.2015.05.016
Reduced Order Methods for Modeling and Computational Reduction
Antonio C. Ionita and Athanasios C. Antoulas Reduced Order Methods for Modeling and Computational Reduction 51 (2014) https://doi.org/10.1007/978-3-319-02090-7_2
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 PosterioriError Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
Mark Kärcher and Martin A. Grepl ESAIM: Mathematical Modelling and Numerical Analysis 48 (6) 1615 (2014) https://doi.org/10.1051/m2an/2014012
A Dirichlet–Neumann reduced basis method for homogeneous domain decomposition problems
I. Maier and B. Haasdonk Applied Numerical Mathematics 78 31 (2014) https://doi.org/10.1016/j.apnum.2013.12.001
A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations
Masayuki Yano SIAM Journal on Scientific Computing 36 (1) A232 (2014) https://doi.org/10.1137/120903300
Stabilized reduced basis method for parametrized advection–diffusion PDEs
Paolo Pacciarini and Gianluigi Rozza Computer Methods in Applied Mechanics and Engineering 274 1 (2014) https://doi.org/10.1016/j.cma.2014.02.005
Numerical analysis method of heat transfer in an electronic component using sensitivity analysis
Otmane Souhar and Christophe Prud’homme Journal of Computational Electronics 13 (4) 1042 (2014) https://doi.org/10.1007/s10825-014-0630-8
Mario Ohlberger, Stephan Rave, Sebastian Schmidt and Shiquan Zhang 78 695 (2014) https://doi.org/10.1007/978-3-319-05591-6_69
A space-time hp-interpolation-based certified reduced basis method for Burgers' equation
Masayuki Yano, Anthony T. Patera and Karsten Urban Mathematical Models and Methods in Applied Sciences 24 (09) 1903 (2014) https://doi.org/10.1142/S0218202514500110
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
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
Cross‐Gramian‐Based Combined State and Parameter Reduction for Large‐Scale Control Systems
Christian Himpe, Mario Ohlberger and Victor Sreeram Mathematical Problems in Engineering 2014 (1) (2014) https://doi.org/10.1155/2014/843869
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) https://doi.org/10.1080/17415977.2012.757315
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) https://doi.org/10.1137/120881841
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
Alexandre Janon, Maëlle Nodet and Clémentine Prieur ESAIM: Mathematical Modelling and Numerical Analysis 47 (2) 317 (2013) https://doi.org/10.1051/m2an/2012029
Convergence Rates of the POD–Greedy Method
Bernard Haasdonk ESAIM: Mathematical Modelling and Numerical Analysis 47 (3) 859 (2013) https://doi.org/10.1051/m2an/2012045
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) https://doi.org/10.1016/j.cma.2013.08.016
Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces
Yvon Maday and Benjamin Stamm SIAM Journal on Scientific Computing 35 (6) A2417 (2013) https://doi.org/10.1137/120873868
A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems
Zhendong Luo, Hong Li, Ping Sun, Jing An and Ionel Michael Navon Mathematics and Computers in Simulation 89 50 (2013) https://doi.org/10.1016/j.matcom.2012.11.012
The reduced basis method applied to transport equations of a lithium-ion battery
Stefan Volkwein, Prof. Oszkár Bíró, Prof. David A. Lowther and Andrea Wesche COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 32 (5) 1760 (2013) https://doi.org/10.1108/COMPEL-04-2013-0115
A reduced-order Crank–Nicolson finite volume element formulation based on POD method for parabolic equations
Zhendong Luo, Hong Li and Ping Sun Applied Mathematics and Computation 219 (11) 5887 (2013) https://doi.org/10.1016/j.amc.2012.11.083
An improved error bound for reduced basis approximation of linear parabolic problems
Karsten Urban and Anthony Patera Mathematics of Computation 83 (288) 1599 (2013) https://doi.org/10.1090/S0025-5718-2013-02782-2
Error Control Based Model Reduction for Parameter Optimization of Elliptic Homogenization Problems
Mario Ohlberger and Michael Schaefer IFAC Proceedings Volumes 46 (26) 251 (2013) https://doi.org/10.3182/20130925-3-FR-4043.00053
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
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows
Kevin Carlberg, Charbel Farhat, Julien Cortial and David Amsallem Journal of Computational Physics 242 623 (2013) https://doi.org/10.1016/j.jcp.2013.02.028
B. Haasdonk, J. Salomon and B. Wohlmuth 821 (2013) https://doi.org/10.1007/978-3-642-33134-3_85
Model order reduction of parametrized nonlinear reaction–diffusion systems
Martin A. Grepl Computers & Chemical Engineering 43 33 (2012) https://doi.org/10.1016/j.compchemeng.2012.03.013
Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition
Mykhaylo Krasnyk, Michael Mangold, Sashikumaar Ganesan and Lutz Tobiska Chemical Engineering Science 70 77 (2012) https://doi.org/10.1016/j.ces.2011.05.053
A new error bound for reduced basis approximation of parabolic partial differential equations
Karsten Urban and Anthony T. Patera Comptes Rendus. Mathématique 350 (3-4) 203 (2012) https://doi.org/10.1016/j.crma.2012.01.026
A Reduced Basis Method for Parametrized Variational Inequalities
B. Haasdonk, J. Salomon and B. Wohlmuth SIAM Journal on Numerical Analysis 50 (5) 2656 (2012) https://doi.org/10.1137/110835372
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) https://doi.org/10.1137/10081157X
Certified reduced basis model validation: A frequentistic uncertainty framework
D.B.P. Huynh, D.J. Knezevic and A.T. Patera Computer Methods in Applied Mechanics and Engineering 201-204 13 (2012) https://doi.org/10.1016/j.cma.2011.09.011
A Two-Step Certified Reduced Basis Method
J. L. Eftang, D. B. P. Huynh, D. J. Knezevic and A. T. Patera Journal of Scientific Computing 51 (1) 28 (2012) https://doi.org/10.1007/s10915-011-9494-2
Efficient parametric analysis of the chemical master equation through model order reduction
Steffen Waldherr and Bernard Haasdonk BMC Systems Biology 6 (1) 81 (2012) https://doi.org/10.1186/1752-0509-6-81
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) (2012) https://doi.org/10.1142/S0218202511500151
Online Reduced Basis Construction Procedure for Model Reduction of Parametrized Evolution Systems
Markus Dihlmann, Sven Kaulmann and Bernard Haasdonk IFAC Proceedings Volumes 45 (2) 112 (2012) https://doi.org/10.3182/20120215-3-AT-3016.00020
Space-Time Reduced Basis Methods for Time-Periodic Partial Differential Equations
Kristina Steih and Karsten Urban IFAC Proceedings Volumes 45 (2) 710 (2012) https://doi.org/10.3182/20120215-3-AT-3016.00126
Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms
Dirk Klindworth, Martin A. Grepl and Georg Vossen Computer Methods in Applied Mechanics and Engineering 209-212 144 (2012) https://doi.org/10.1016/j.cma.2011.10.010
Computational Reduction for Parametrized PDEs: Strategies and Applications
Andrea Manzoni, Alfio Quarteroni and Gianluigi Rozza Milan Journal of Mathematics 80 (2) 283 (2012) https://doi.org/10.1007/s00032-012-0182-y
Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology
BedrʼEddine Ainseba, Mostafa Bendahmane and Ricardo Ruiz-Baier Journal of Mathematical Analysis and Applications 388 (1) 231 (2012) https://doi.org/10.1016/j.jmaa.2011.11.069
A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem
Zhendong Luo, Hong Li, Yanjie Zhou and Xiaoming Huang Journal of Mathematical Analysis and Applications 385 (1) 310 (2012) https://doi.org/10.1016/j.jmaa.2011.06.057
Martin Drohmann, Bernard Haasdonk, Sven Kaulmann and Mario Ohlberger 77 (2012) https://doi.org/10.1007/978-3-642-28589-9_6
Reduced Basis A Posteriori Error Bounds for the Instationary Stokes Equations: A Penalty Approach
Anna-Lena Gerner and Karen Veroy IFAC Proceedings Volumes 45 (2) 700 (2012) https://doi.org/10.3182/20120215-3-AT-3016.00124
Jens L. Eftang, Anthony T. Patera and Einar M. Rønquist 76 179 (2011) https://doi.org/10.1007/978-3-642-15337-2_15
Reduced basis approximation anda posteriorierror estimates for a multiscale liquid crystal model
David J. Knezevic Mathematical and Computer Modelling of Dynamical Systems 17 (4) 443 (2011) https://doi.org/10.1080/13873954.2011.547676
Anhpcertified reduced basis method for parametrized parabolic partial differential equations
Jens L. Eftang, David J. Knezevic and Anthony T. Patera Mathematical and Computer Modelling of Dynamical Systems 17 (4) 395 (2011) https://doi.org/10.1080/13873954.2011.547670
A Laplace transform certified reduced basis method; application to the heat equation and wave equation
D.B. Phuong Huynh, David J. Knezevic and Anthony T. Patera Comptes Rendus. Mathématique 349 (7-8) 401 (2011) https://doi.org/10.1016/j.crma.2011.02.003
A high-performance parallel implementation of the certified reduced basis method
David J. Knezevic and John W. Peterson Computer Methods in Applied Mechanics and Engineering 200 (13-16) 1455 (2011) https://doi.org/10.1016/j.cma.2010.12.026
High-fidelity real-time simulation on deployed platforms
D.B.P. Huynh, D.J. Knezevic, J.W. Peterson and A.T. Patera Computers & Fluids 43 (1) 74 (2011) https://doi.org/10.1016/j.compfluid.2010.07.007
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
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) https://doi.org/10.1186/2190-5983-1-3
Comparison of the reduced-basis and PODa posteriorierror estimators for an elliptic linear-quadratic optimal control problem
Timo Tonn, K. Urban and S. Volkwein Mathematical and Computer Modelling of Dynamical Systems 17 (4) 355 (2011) https://doi.org/10.1080/13873954.2011.547678
Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition
Bernard Haasdonk and Mario Ohlberger Mathematical and Computer Modelling of Dynamical Systems 17 (2) 145 (2011) https://doi.org/10.1080/13873954.2010.514703
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems
Fabrizio Gelsomino and Gianluigi Rozza Mathematical and Computer Modelling of Dynamical Systems 17 (4) 371 (2011) https://doi.org/10.1080/13873954.2011.547672
REDUCED BASIS APPROXIMATION AND A POSTERIORI ERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS
DAVID J. KNEZEVIC, NGOC-CUONG NGUYEN and ANTHONY T. PATERA Mathematical Models and Methods in Applied Sciences 21 (07) 1415 (2011) https://doi.org/10.1142/S0218202511005441
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) https://doi.org/10.1007/978-3-642-20671-9_39
Model order reduction and error estimation with an application to the parameter-dependent eddy current equation
Nadine Jung, Anthony T. Patera, Bernard Haasdonk and Boris Lohmann Mathematical and Computer Modelling of Dynamical Systems 17 (6) 561 (2011) https://doi.org/10.1080/13873954.2011.582120
Reduced Basis Techniques for Stochastic Problems
S. Boyaval, C. Le Bris, T. Lelièvre, et al. Archives of Computational Methods in Engineering 17 (4) 435 (2010) https://doi.org/10.1007/s11831-010-9056-z
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
A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module
Andreas Dedner, Robert Klöfkorn, Martin Nolte and Mario Ohlberger Computing 90 (3-4) 165 (2010) https://doi.org/10.1007/s00607-010-0110-3
An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
Jens L. Eftang, Anthony T. Patera and Einar M. Rønquist SIAM Journal on Scientific Computing 32 (6) 3170 (2010) https://doi.org/10.1137/090780122
N. C. Nguyen, G. Rozza, D. B. P. Huynh and A. T. Patera 151 (2010) https://doi.org/10.1002/9780470685853.ch8
A Certified Reduced Basis Method for the Fokker–Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow
David J. Knezevic and Anthony T. Patera SIAM Journal on Scientific Computing 32 (2) 793 (2010) https://doi.org/10.1137/090759239
Effiziente und gesicherte Modellreduktion für parametrisierte dynamische Systeme
Bernard Haasdonk at - Automatisierungstechnik 58 (8) 468 (2010) https://doi.org/10.1524/auto.2010.0861
A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficient
Sébastien Boyaval, Claude Le Bris, Yvon Maday, Ngoc Cuong Nguyen and Anthony T. Patera Computer Methods in Applied Mechanics and Engineering 198 (41-44) 3187 (2009) https://doi.org/10.1016/j.cma.2009.05.019
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation
Ngoc-Cuong Nguyen, Gianluigi Rozza and Anthony T. Patera Calcolo 46 (3) 157 (2009) https://doi.org/10.1007/s10092-009-0005-x
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) https://doi.org/10.1007/s11831-008-9019-9
Pages:
201 to 292 of 292 articles