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Karen Veroy-Grepl
Karen Veroy-Grepl
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Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods
C Prud’Homme, DV Rovas, K Veroy, L Machiels, Y Maday, AT Patera, ...
J. Fluids Eng. 124 (1), 70-80, 2002
7582002
Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
K Veroy, AT Patera
International Journal for Numerical Methods in Fluids 47 (8‐9), 773-788, 2005
4632005
A posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations
K Veroy, C Prud'Homme, D Rovas, A Patera
16th AIAA computational fluid dynamics conference, 3847, 2003
3982003
On the stability of the reduced basis method for Stokes equations in parametrized domains
G Rozza, K Veroy
Computer methods in applied mechanics and engineering 196 (7), 1244-1260, 2007
3412007
Certified real-time solution of parametrized partial differential equations
N Ngoc Cuong, K Veroy, AT Patera
Handbook of Materials Modeling: Methods, 1529-1564, 2005
2422005
Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds
K Veroy, C Prud'Homme, AT Patera
Comptes Rendus. Mathématique 337 (9), 619-624, 2003
1412003
“Natural norm” a posteriori error estimators for reduced basis approximations
S Sen, K Veroy, DBP Huynh, S Deparis, NC Nguyen, AT Patera
Journal of Computational Physics 217 (1), 37-62, 2006
1282006
Certified reduced basis methods for parametrized saddle point problems
AL Gerner, K Veroy
SIAM Journal on Scientific Computing 34 (5), A2812-A2836, 2012
1262012
Reduced-basis methods applied to problems in elasticity: Analysis and applications
KPL Veroy
Massachusetts Institute of Technology, 2003
972003
A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations:“convex inverse” bound conditioners
K Veroy, DV Rovas, AT Patera
ESAIM: Control, Optimisation and Calculus of Variations 8, 1007-1028, 2002
842002
A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations
C Prud'Homme, DV Rovas, K Veroy, AT Patera
ESAIM: Mathematical Modelling and Numerical Analysis 36 (5), 747-771, 2002
802002
A certified trust region reduced basis approach to PDE-constrained optimization
E Qian, M Grepl, K Veroy, K Willcox
SIAM Journal on Scientific Computing 39 (5), S434-S460, 2017
672017
Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints
E Bader, M Kärcher, MA Grepl, K Veroy
SIAM Journal on Scientific Computing 38 (6), A3921-A3946, 2016
492016
Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation
M Kärcher, S Boyaval, MA Grepl, K Veroy
Optimization and Engineering 19 (3), 663-695, 2018
472018
Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls
M Kärcher, Z Tokoutsi, MA Grepl, K Veroy
Journal of Scientific Computing 75, 276-307, 2018
472018
Certified rapid solution of partial differential equations for real-time parameter estimation and optimization
MA Grepl, NC Nguyen, K Veroy, AT Patera, GR Liu
Real-time PDE-constrained optimization, 199-216, 2007
422007
Reduced basis a posteriori error bounds for the Stokes equations in parametrized domains: a penalty approach
AL Gerner, K Veroy
Mathematical Models and Methods in Applied Sciences 21 (10), 2103-2134, 2011
312011
Certified reduced basis method in geosciences: addressing the challenge of high-dimensional problems
D Degen, K Veroy, F Wellmann
Computational Geosciences 24 (1), 241-259, 2020
232020
Simulation study of the cooling effect of blood vessels and blood coagulation in hepatic radio-frequency ablation
N Vaidya, M Baragona, V Lavezzo, R Maessen, K Veroy
International Journal of Hyperthermia 38 (1), 95-104, 2021
222021
3D-VAR for parameterized partial differential equations: a certified reduced basis approach
N Aretz-Nellesen, MA Grepl, K Veroy
Advances in Computational Mathematics 45, 2369-2400, 2019
202019
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