Prof. Karen Veroy-Grepl Ph.D.

Education

• PhD, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA, 2003
• SM, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA, 2000
• BS, Department of Physics, Ateneo de Manila University, Philippines, 1996

Professional Career

• since Sep 2014 - Professor (W2), Fakultät für Bauingenieurwesen, RWTH Aachen University, Germany
• since Sep 2009 - Junior Research Group Leader, AICES, RWTH Aachen University, Germany
• 2010-2014 - Junior Professor (W1), Fakultät für Bauingenieurwesen, RWTH Aachen University, Germany
• 2005-2007 - Research and Development Trainee, Robert Bosch GmbH, Stuttgart, Germany
• 2003-2005 - Postdoctoral Research Associate, Department of Mechanical Engineering, Massachusetts Institute of Technology, USA

Research Interests

Reduced order modeling, particularly reduced basis methods for optimization, control, and inverse problems involving partial differential equations

Supervised Students

Doctoral students
Dr.rer.nat. Markus Bachmayr (2012, with distinction)
Dr.rer.nat. Anna-Lena Gerner (2012, with distinction)
Eduard Bader (2016)
Zhenying Zhang (2016)
Lorenzo Zanon (2017)
Denise Degen (co-supervised with Prof. F. Wellmann)
Zoi Tokoutsi (co-supervised with Philips Research and Prof. M. Grepl)
Nikhil Vaidya (co-supervised with Philips Research and Prof. M. Grepl)

Fulbright Student
Elizabeth Qian

• M. Kärcher, S. Boyaval, M. A. Grepl and K. Veroy. Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation, 2018. https://arxiv.org/abs/1802.02328
• E. Qian, M. Grepl, K. Veroy and K. Willcox. A certified trust region reduced basis approach to PDE-constrained optimization.
  SIAM Journal on Scientific Computing, 39(5):S434–S460, 2017.
  doi:10.1137/16M1081981
• M. Kärcher, Z. Tokoutsi, M. A. Grepl and K. Veroy. Certified reduced basis methods for parametrized distributed optimal control problems.
  Journal of Scientific Computing, 1–32, 2017.
  doi:10.1007/s10915-017-0539-z
• E. Bader, M. A. Grepl and K. Veroy. A certified reduced basis approach for parametrized optimal control problems with two-sided control constraints.
  In Model Reduction of Parametrized Systems, 37–54, 2017,
  doi:10.1007/978-3-319-58786-8_3
• M. Kärcher, Z. Tokoutsi, M. A. Grepl and K. Veroy. Certified Reduced Basis Methods for Parametrized Elliptic Optimal Control Problems with Distributed Controls.
  Journal of Scientific Computing, 1–32, 2017.
  doi:10.1007/s10915-017-0539-z
• D. Degen, K. Veroy and F. Wellmann. Usage of the Reduced Basis Method and High-Performance Simulations in Geosciences. In EGU General Assembly Conference Abstracts, 19, 8356, 2017.
• E. Bader, Z. Zhang and K. Veroy. An empirical interpolation approach to reduced basis approximations for variational inequalities. Mathematical and Computer Modelling of Dynamical Systems, 22(4):345–361, 2016.
  doi:10.1080/13873954.2016.1198388
• E. Bader, M. Kärcher, M. A. Grepl and K. Veroy. Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints. SIAM Journal on Scientific Computing, 38(6):A3921–A3946, 2016.
  doi:10.1137/16M1059898
• Z. Zhang, E. Bader and K. Veroy. A slack approach to reduced-basis approximation and error estimation for variational inequalities.
  Comptes Rendus Mathematique, 354(3):283–289, 2016.
  doi: 10.1016/j.crma.2015.10.024
• E. Bader, M. Kärcher, M. Grepl and K. Veroy. A Certified Reduced Basis Approach for Parametrized Linear-Quadratic Optimal Control Problems with Control Constraints. IFAC-PapersOnLine, 48(1):719–720, 2015.
  doi:10.1016/j.ifacol.2015.05.167
• L. Zanon and K. Veroy. The reduced basis method for an elastic bucking problem. PAMM, 13(1):439-440-2013, 2013.
  doi:10.1002/pamm.201310213
• A. L. Gerner and K. Veroy. Certified reduced basis methods for parametrized saddle point problems. SIAM Journal for Scientific Computing, 34(5):2812–2836, 2012.
  doi:10.1137/110854084
• A. L. Gerner and K. Veroy. Reduced Basis A Posteriori Error Bounds for the Instationary Stokes Equations: A Penalty Approach.
  IFAC Proceedings Volumes, 45(2):700–705, 2012.
  doi: 10.3182/20120215-3-AT-3016.00124
• M. A. Grepl and K. Veroy. A level set reduced basis approach to parameter estimation. Comptes Rendus Mathematique, 349(23):1229–1232, 2011.
  doi:10.1016/j.crma.2011.10.020
• A. L. Gerner and K. Veroy. Reduced basis a posteriori error bounds for the Stokes equations in parametrized domains: a penalty approach.
  Mathematical Models and Methods in Applied Sciences, 21(10):2103–2134, 2011.
  doi:10.1142/S0218202511005672
• G. Rozza and K. Veroy. On the stability of the reduced basis method for Stokes equations in parametrized domains.
  Comput Meth Appl Mech Eng, 196(7):1244–1260, 2007. 
  doi:10.1016/j.cma.2006.09.005
• M. A. Grepl, N. C. Nguyen, K. Veroy, A. T. Patera, and G. R. Liu. Certified rapid solution of partial differential equations for real-time parameter estimation and optimization, in Real-time PDE-Constrained Optimization, (L. Biegler, O. Ghattas,
  M. Heinkenschloss, D. Keyes, and B. van Bloemen Waanders, editors)
  SIAM Computational Science and Engineering Book Series, 197–215, 2007.
  doi:10.1137/1.9780898718935.ch10
• S. Sen, K. Veroy, D. B. P. Huynh, S. Deparis, N. C. Nguyen, and A. T. Patera.
  “Natural norm” a posteriori error estimators for reduced basis approximations.
  Journal of Computational Physics, 217(1):37–62, 2006. 
  doi:10.1016/j.jcp.2006.02.012
• S. Sen, K. Veroy, D. B. Huynh, S. Deparis, N. C. Nguyen and A. T. Patera. Uncertainty Quantification for Reduced Basis Approximations:" Natural Norm" A Posteriori Error Estimators. 
  Journal of Computational Physics, 217(CMCS-ARTICLE-2007-011), 37–62. 2006.
  doi:10.1016/j.jcp.2006.02.012
• N. C. Nguyen, K. Veroy and A. T. Patera. Certified real-time solution of parametrized partial differential equations, in Handbook of Materials Modeling, (S. Yip, editor),
  Springer, 1523–1558, 2005.
  doi:10.1007/978-1-4020-3286-8_76
• K. Veroy and A. T. Patera. Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: Rigorous reduced-basis a posteriori error bounds. International Journal for Numerical Methods in Fluids, 47(8-9):773–788, 2005. (Special Issue: Proceedings for 8th ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford). 
  doi:10.1002/fld.867
• K. Veroy, C. Prud’homme, and A. T. Patera. Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.
  Comptes Rendus de l’Académie des Sciences, Série I, 337(9):619–624, 2003.
  dio:10.1016/j.crma.2003.09.023
• K. Veroy, C. Prud'homme, D. Rovas, and A. T. Patera. A Posteriori Error Bounds for Reduced-Basis Approximation of Parametrized Noncoercive and Nonlinear Elliptic Partial Differential Equations. AIAA Paper 2003–3847, Proceedings of the 16th AIAA Computational Fluid Dynamics Conference, 2003. 
  doi:10.2514/6.2003-3847
• K. Veroy, D. Rovas, and A. T. Patera. A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations: “Convex inverse” bound conditioners.
  Control, Optimisation and Calculus of Variations, 8:1007–1028, 2002.
  doi:10.1051/cocv:2002041
• C. Prud’homme, D. Rovas, K. Veroy, and A. T. Patera. A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations. M2AN Modélisation Mathématique et Analyse Numérique, 36(5):747–771, 2002.
  doi:10.1051/m2an:2002035
• C. Prud’homme, D. Rovas, K. Veroy, Y. Maday, A.T. Patera, and G. Turinici. Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods. Journal of Fluids Engineering, 124(1):70–80, 2002.
  doi:10.1115/1.1448332
• S. C. Wooh and K. Veroy. Spectrotemporal analysis of guided-wave pulse-echo signals: Part 1. Dispersive systems. Experimental Mechanics, 41(4):324–331, 2001.
  doi:10.1007/BF02323926
• S. C. Wooh and K. Veroy. Spectrotemporal analysis of guided-wave pulse-echo signals: Part 2. Numerical and experimental investigations. Experimental Mechanics, 41(4):332–342, 2001.
  doi:10.1007/BF02323927
• S. C. Wooh and K. Veroy. Time-frequency analysis of broadband dispersive waves using the wavelet transform, AIP Conference Proceedings, 509(1):831–838, 2000.
  doi:10.1063/1.1306132
• K. Veroy, S. C. Wooh and Y. Shi. Analysis of dispersive waves using the wavelet transform. Review of Progress in Quantitative Nondestructive Evaluation,
  687–694, 1999.
  doi: 10.1007/978-1-4615-4791-4_88

Other Publications

• Z. Zhang, E. Bader, and K. Veroy. A duality approach to error estimation for variational inequalities, 2014. http://arxiv.org/pdf/1410.2095.pdf
• A.-L. Gerner and K. Veroy. Reduced basis a posteriori error bounds for symmetric parametrized saddle point problems, 2012. http://arxiv.org/pdf/1208.5011.pdf
• A.-L. Gerner and K. Veroy. Reduced basis a posteriori error bounds for the instationary Stokes equations, 2012. http://arxiv.org/pdf/1208.5010.pdf