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All issues ESAIM: M2AN, 42 1 (2008) 1-23 Article references

Articles citing this article

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Cited article:

Derivative-Extended POD Reduced-Order Modeling for Parameter Estimation

A. Schmidt, A. Potschka, S. Körkel and H. G. Bock
SIAM Journal on Scientific Computing 35 (6) A2696 (2013)
https://doi.org/10.1137/120896694

Control and Optimization with PDE Constraints

Alina Studinger and Stefan Volkwein
International Series of Numerical Mathematics, Control and Optimization with PDE Constraints 164 137 (2013)
https://doi.org/10.1007/978-3-0348-0631-2_8

An optimal modal approximation method for model reduction of linear power system models

A. López Ríos and A.R. Messina
International Journal of Electrical Power & Energy Systems 44 (1) 293 (2013)
https://doi.org/10.1016/j.ijepes.2012.08.001

Reduced Basis Method for Parametrized Elliptic Optimal Control Problems

Federico Negri, Gianluigi Rozza, Andrea Manzoni and Alfio Quarteroni
SIAM Journal on Scientific Computing 35 (5) A2316 (2013)
https://doi.org/10.1137/120894737

Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems

Stefan Volkwein and Georg Vossen
Numerical Algebra, Control and Optimization 2 (3) 465 (2012)
https://doi.org/10.3934/naco.2012.2.465

A dual‐weighted trust‐region adaptive POD 4‐D Var applied to a finite‐volume shallow water equations model on the sphere

X. Chen, S. Akella and I. M. Navon
International Journal for Numerical Methods in Fluids 68 (3) 377 (2012)
https://doi.org/10.1002/fld.2523

PODa-posteriorierror based inexact SQP method for bilinear elliptic optimal control problems

Martin Kahlbacher and Stefan Volkwein
ESAIM: Mathematical Modelling and Numerical Analysis 46 (2) 491 (2012)
https://doi.org/10.1051/m2an/2011061

Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples

Dominique Chapelle, Asven Gariah and Jacques Sainte-Marie
ESAIM: Mathematical Modelling and Numerical Analysis 46 (4) 731 (2012)
https://doi.org/10.1051/m2an/2011053

Constrained Optimization and Optimal Control for Partial Differential Equations

Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 75 (2012)
https://doi.org/10.1007/978-3-0348-0133-1_5

Order-reduction Strategy of Non-linear Differential-algebraic Equation Models with Application on Power Systems

A. López Ríos and A. R. Messina
Electric Power Components and Systems 40 (15) 1690 (2012)
https://doi.org/10.1080/15325008.2012.716496

Multigrid second-order accurate solution of parabolic control-constrained problems

S. González Andrade and A. Borzì
Computational Optimization and Applications 51 (2) 835 (2012)
https://doi.org/10.1007/s10589-010-9358-y

Reduced Basis Method and Error Estimation for Parametrized Optimal Control Problems with Control Constraints

Luca Dedè
Journal of Scientific Computing 50 (2) 287 (2012)
https://doi.org/10.1007/s10915-011-9483-5

A low‐cost, goal‐oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems

Kevin Carlberg and Charbel Farhat
International Journal for Numerical Methods in Engineering 86 (3) 381 (2011)
https://doi.org/10.1002/nme.3074

A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems

Zhendong Luo, Zhenghui Xie, Yueqiang Shang and Jing Chen
Journal of Computational and Applied Mathematics 235 (8) 2098 (2011)
https://doi.org/10.1016/j.cam.2010.10.008

A dual‐weighted trust‐region adaptive POD 4D‐VAR applied to a finite‐element shallow‐water equations model

X. Chen, I. M. Navon and F. Fang
International Journal for Numerical Methods in Fluids 65 (5) 520 (2011)
https://doi.org/10.1002/fld.2198

Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems

Peter Benner and Tobias Damm
SIAM Journal on Control and Optimization 49 (2) 686 (2011)
https://doi.org/10.1137/09075041X

An Energy-based Modal Approximation Method for Reduced-order Modeling Analysis of Power System Models

A. López Ríos and A. R. Messina
Electric Power Components and Systems 39 (14) 1523 (2011)
https://doi.org/10.1080/15325008.2011.596503

Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems

Luca Dedè
SIAM Journal on Scientific Computing 32 (2) 997 (2010)
https://doi.org/10.1137/090760453

Development and application of reduced‐order modeling procedures for subsurface flow simulation

M. A. Cardoso, L. J. Durlofsky and P. Sarma
International Journal for Numerical Methods in Engineering 77 (9) 1322 (2009)
https://doi.org/10.1002/nme.2453

POD a-posteriori error estimates for linear-quadratic optimal control problems

F. Tröltzsch and S. Volkwein
Computational Optimization and Applications 44 (1) 83 (2009)
https://doi.org/10.1007/s10589-008-9224-3