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Grepl, Martin A.

Co-Author Distance
Author ID:
grepl.martin-a Recent zbMATH articles by "Grepl, Martin A."
Published as:
Grepl, Martin A.;Grepl, Martin
External Links:
MGP ·Wikidata
Documents Indexed:

24 Publications since 2005

1 Contribution as Editor

Publications by Year

Citations contained in zbMATH Open

23 Publications have been cited 610 times in435 DocumentsCited by ▼Year ▼
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078
Grepl, Martin A.;Maday, Yvon;Nguyen, Ngoc C.;Patera, Anthony T.
2007
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.;Patera, Anthony T.
2005
Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls. Zbl 1388.49023
Kärcher, Mark;Tokoutsi, Zoi;Grepl, Martin A.;Veroy, Karen
2018
Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints. Zbl 1426.49029
Bader, Eduard;Kärcher, Mark;Grepl, Martin A.;Veroy, Karen
2016
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.;Grepl, Martin A.;Patera, Anthony T.
2010
A certified trust region reduced basis approach to PDE-constrained optimization. Zbl 1377.35078
Qian, Elizabeth;Grepl, Martin;Veroy, Karen;Willcox, Karen
2017
A certified reduced basis method for parametrized elliptic optimal control problems. Zbl 1287.49032
Kärcher, Mark;Grepl, Martin A.
2014
Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation. Zbl 1507.49026
Kärcher, Mark;Boyaval, Sébastien;Grepl, Martin A.;Veroy, Karen
2018
Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems. Zbl 1232.49039
Grepl, Martin A.;Kärcher, Mark
2011
Certified reduced basis methods for nonaffine linear time-varying and nonlinear parabolic partial differential equations. Zbl 1241.35116
Grepl, Martin A.
2012
A-posteriori error estimation for reduced order solutions of parametrized parabolic optimal control problems. Zbl 1304.49056
Kärcher, Mark;Grepl, Martin A.
2014
Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Zbl 1228.65223
Grepl, Martin A.;Nguyen, Ngoc C.;Veroy, Karen;Patera, Anthony T.;Liu, Gui R.
2007
3D-VAR for parameterized partial differential equations: a certified reduced basis approach. Zbl 1434.49019
Aretz-Nellesen, Nicole;Grepl, Martin A.;Veroy, Karen
2019
Approximation of parametric derivatives by the empirical interpolation method. Zbl 1284.65041
Eftang, Jens L.;Grepl, Martin A.;Patera, Anthony T.;Rønquist, Einar M.
2013
A sequential sensor selection strategy for hyper-parameterized linear Bayesian inverse problems. Zbl 1471.62435
Aretz-Nellesen, Nicole;Chen, Peng;Grepl, Martin A.;Veroy, Karen
2021
Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms. Zbl 1243.65121
Klindworth, Dirk;Grepl, Martin A.;Vossen, Georg
2012
A level set reduced basis approach to parameter estimation. Zbl 1269.65115
Grepl, Martin A.;Veroy, Karen
2011
Reduced order model predictive control for parametrized parabolic partial differential equations. Zbl 1545.93222
Dietze, Saskia;Grepl, Martin A.
2023
A reduced basis ensemble Kalman method. Zbl 1523.65080
Silva, Francesco A. B.;Pagliantini, Cecilia;Grepl, Martin;Veroy, Karen
2023
A certified reduced basis approach for parametrized optimal control problems with two-sided control constraints. Zbl 06861090
Bader, Eduard;Grepl, Martin A.;Veroy, Karen
2017
A static condensation reduced basis element approach for the Reynolds lubrication equation. Zbl 1373.76040
Bader, Eduard;Grepl, Martin A.;Müller, Siegfried
2017
Certified reduced-order methods for optimal treatment planning. Zbl 1332.92024
Ahmedov, Bahodir;Grepl, Martin A.;Herty, Michael
2016
Real-time optimization of thermal ablation cancer treatments. Zbl 1427.65264
Tokoutsi, Zoi;Grepl, Martin;Veroy, Karen;Baragona, Marco;Maessen, Ralph
2018
Reduced order model predictive control for parametrized parabolic partial differential equations. Zbl 1545.93222
Dietze, Saskia;Grepl, Martin A.
2023
A reduced basis ensemble Kalman method. Zbl 1523.65080
Silva, Francesco A. B.;Pagliantini, Cecilia;Grepl, Martin;Veroy, Karen
2023
A sequential sensor selection strategy for hyper-parameterized linear Bayesian inverse problems. Zbl 1471.62435
Aretz-Nellesen, Nicole;Chen, Peng;Grepl, Martin A.;Veroy, Karen
2021
3D-VAR for parameterized partial differential equations: a certified reduced basis approach. Zbl 1434.49019
Aretz-Nellesen, Nicole;Grepl, Martin A.;Veroy, Karen
2019
Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls. Zbl 1388.49023
Kärcher, Mark;Tokoutsi, Zoi;Grepl, Martin A.;Veroy, Karen
2018
Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation. Zbl 1507.49026
Kärcher, Mark;Boyaval, Sébastien;Grepl, Martin A.;Veroy, Karen
2018
Real-time optimization of thermal ablation cancer treatments. Zbl 1427.65264
Tokoutsi, Zoi;Grepl, Martin;Veroy, Karen;Baragona, Marco;Maessen, Ralph
2018
A certified trust region reduced basis approach to PDE-constrained optimization. Zbl 1377.35078
Qian, Elizabeth;Grepl, Martin;Veroy, Karen;Willcox, Karen
2017
A certified reduced basis approach for parametrized optimal control problems with two-sided control constraints. Zbl 06861090
Bader, Eduard;Grepl, Martin A.;Veroy, Karen
2017
A static condensation reduced basis element approach for the Reynolds lubrication equation. Zbl 1373.76040
Bader, Eduard;Grepl, Martin A.;Müller, Siegfried
2017
Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints. Zbl 1426.49029
Bader, Eduard;Kärcher, Mark;Grepl, Martin A.;Veroy, Karen
2016
Certified reduced-order methods for optimal treatment planning. Zbl 1332.92024
Ahmedov, Bahodir;Grepl, Martin A.;Herty, Michael
2016
A certified reduced basis method for parametrized elliptic optimal control problems. Zbl 1287.49032
Kärcher, Mark;Grepl, Martin A.
2014
A-posteriori error estimation for reduced order solutions of parametrized parabolic optimal control problems. Zbl 1304.49056
Kärcher, Mark;Grepl, Martin A.
2014
Approximation of parametric derivatives by the empirical interpolation method. Zbl 1284.65041
Eftang, Jens L.;Grepl, Martin A.;Patera, Anthony T.;Rønquist, Einar M.
2013
Certified reduced basis methods for nonaffine linear time-varying and nonlinear parabolic partial differential equations. Zbl 1241.35116
Grepl, Martin A.
2012
Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms. Zbl 1243.65121
Klindworth, Dirk;Grepl, Martin A.;Vossen, Georg
2012
Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems. Zbl 1232.49039
Grepl, Martin A.;Kärcher, Mark
2011
A level set reduced basis approach to parameter estimation. Zbl 1269.65115
Grepl, Martin A.;Veroy, Karen
2011
A posteriori error bounds for the empirical interpolation method. Zbl 1190.65018
Eftang, Jens L.;Grepl, Martin A.;Patera, Anthony T.
2010
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078
Grepl, Martin A.;Maday, Yvon;Nguyen, Ngoc C.;Patera, Anthony T.
2007
Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Zbl 1228.65223
Grepl, Martin A.;Nguyen, Ngoc C.;Veroy, Karen;Patera, Anthony T.;Liu, Gui R.
2007
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.;Patera, Anthony T.
2005
alltop 5

Cited by 647 Authors

46 Rozza, Gianluigi
21 Patera, Anthony T.
18 Chen, Yanlai
17 Grepl, Martin A.
16 Haasdonk, Bernard
16 Willcox, Karen E.
15 Benner, Peter
15 Maday, Yvon
14 Nguyen, Ngoc Cuong
14 Veroy, Karen
13 Volkwein, Stefan
12 Peherstorfer, Benjamin
11 Ballarin, Francesco
11 Chen, Peng
11 Farhat, Charbel H.
11 Feng, Lihong
11 Manzoni, Andrea
11 Ohlberger, Mario
10 Carlberg, Kevin T.
9 Hesthaven, Jan S.
9 Quarteroni, Alfio M.
9 Yano, Masayuki
8 Mula, Olga
8 Stabile, Giovanni
8 Strazzullo, Maria
7 Jiang, Lijian
7 Karatzas, Efthymios N.
7 Zahr, Matthew J.
6 Amsallem, David
6 Eftang, Jens L.
6 Gómez Mármol, Macarena
6 Gugercin, Serkan
6 Huynh, Dinh Bao Phuong
6 Knezevic, David J.
6 Lin, Guang
5 Chacón Rebollo, Tomás
5 Chamoin, Ludovic
5 Delgado Ávila, Enrique
5 Ghattas, Omar N.
5 Hinze, Michael
5 Ladevèze, Pierre
5 Narayan, Akil C.
5 Peraire, Jaime
5 Soize, Christian
4 Avery, Philip
4 Chellappa, Sridhar
4 Dyczij-Edlinger, Romanus
4 Farle, Ortwin
4 Girfoglio, Michele
4 Gunzburger, Max Donald
4 Iapichino, Laura
4 Ji, Lijie
4 Keil, Tim
4 Lazar, Martin
4 Li, Qiuqi
4 Lombardi, Damiano
4 Navon, Ionel Michael
4 Néron, David
4 Pagliantini, Cecilia
4 Urban, Karsten
4 Wang, Zhu
3 Abdulle, Assyr
3 Alla, Alessandro
3 Bader, Eduard
3 Baiges, Joan
3 Ballani, Jonas
3 Boyaval, Sébastien
3 Cammi, Antonio
3 Chakir, Rachida
3 Chapman, Todd
3 Choi, Youngsoo
3 Codina, Ramon
3 Daversin, Cécile
3 Dellnitz, Michael
3 Dihlmann, Markus A.
3 Drmač, Zlatko
3 Ehrlacher, Virginie
3 Ghanem, Roger G.
3 Gottlieb, Sigal
3 Idelsohn, Sergio Rodolfo
3 Janon, Alexandre
3 Jiang, Jiahua
3 Kärcher, Mark
3 Lass, Oliver
3 Ma, Lingling
3 Negri, Federico
3 Parish, Eric J.
3 Peitz, Sebastian
3 Pichi, Federico
3 Prieur, Clémentine
3 Prud’homme, Christophe
3 Rønquist, Einar M.
3 Rubino, Samuele
3 Sandu, Adrian
3 Schindler, Felix
3 Schwab, Christoph
3 Scovazzi, Guglielmo
3 Silva, Francesco A. B.
3 Sommer, Alexander
3 Stamm, Benjamin
...and 547 more Authors
alltop 5

Cited in 80 Serials

65 Computer Methods in Applied Mechanics and Engineering
42 Journal of Computational Physics
40 International Journal for Numerical Methods in Engineering
34 SIAM Journal on Scientific Computing
22 Journal of Scientific Computing
18 Advances in Computational Mathematics
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Journal of Computational and Applied Mathematics
11 Mathematical and Computer Modelling of Dynamical Systems
11 SIAM/ASA Journal on Uncertainty Quantification
8 Computers & Mathematics with Applications
6 Computers and Fluids
6 SIAM Journal on Numerical Analysis
6 Computational Mechanics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Applied Mathematics and Computation
4 Computational Optimization and Applications
3 International Journal for Numerical Methods in Fluids
3 Acta Applicandae Mathematicae
3 Applied Numerical Mathematics
3 Numerical Methods for Partial Differential Equations
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematical Modelling
3 SIAM Review
3 Computational Geosciences
3 Archives of Computational Methods in Engineering
3 Multiscale Modeling & Simulation
3 GAMM-Mitteilungen
3 Journal of Mathematics in Industry
2 Numerische Mathematik
2 Optimal Control Applications & Methods
2 COMPEL
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Optimization and Engineering
2 Journal of Numerical Mathematics
2 Acta Numerica
2 Communications in Computational Physics
2 SIAM Journal on Financial Mathematics
2 Mathematical Control and Related Fields
1 Acta Mechanica
1 Computer Physics Communications
1 Mathematics of Computation
1 Automatica
1 Calcolo
1 Mathematics and Computers in Simulation
1 Systems & Control Letters
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Constructive Approximation
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 International Journal of Computer Mathematics
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Discrete and Continuous Dynamical Systems
1 European Journal of Control
1 Computing and Visualization in Science
1 European Journal of Mechanics. A. Solids
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Oberwolfach Reports
1 Inverse Problems in Science and Engineering
1 Advances in Applied Mathematics and Mechanics
1 Communications in Mathematical Research
1 GEM - International Journal on Geomathematics
1 Statistics and Computing
1 Communications in Applied and Industrial Mathematics
1 East Asian Journal on Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Mathematics in Engineering
1 SMAI Journal of Computational Mathematics
1 Foundations of Data Science
alltop 5

Cited in 29 Fields

358 Numerical analysis (65-XX)
123 Partial differential equations (35-XX)
93 Fluid mechanics (76-XX)
66 Calculus of variations and optimal control; optimization (49-XX)
50 Systems theory; control (93-XX)
41 Mechanics of deformable solids (74-XX)
29 Statistics (62-XX)
28 Operations research, mathematical programming (90-XX)
24 Computer science (68-XX)
19 Optics, electromagnetic theory (78-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Probability theory and stochastic processes (60-XX)
13 Approximations and expansions (41-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Biology and other natural sciences (92-XX)
8 Geophysics (86-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Mechanics of particles and systems (70-XX)
4 Ordinary differential equations (34-XX)
4 Operator theory (47-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 Mathematics education (97-XX)

Citations by Year

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