Anthony T. Patera

Ford Professor of Mechanical Engineering

Room 3-266
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge MA 02139-4307
Phone: 617-253-8122
Fax: 617-258-5802
Email: patera@mit.edu
Web: http://augustine.mit.edu/

Administrative Contact:
Debra Blanchard
Room 3-264
Phone: 617-258-5808
Email: drblnc@mit.edu

Education:

Ph.D. in Applied Mathematics, Massachusetts Institute of Technology, Cambridge, MA, February 1982
S.M. in Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, February 1980
B.S. in Mechanical Engineering, Massachusetts Institute of Technology, Cambridge MA, August 1978

MIT Service:

2006–present: Ford Professor of Engineering, MIT
1997–2006: SoE Professor of Teaching Innovation, MIT
1991–present: Full Professor, Mechanical Engineering, MIT
1985–1988: Associate Professor, Mechanical Engineering, MIT
1982–1985: Assistant Professor, Mechanical Engineering, MIT Other Related Experience:
2004–2005: Chair, Strategic Planning Committee, ME Department
2001–2006: MIT Co-Director, Singapore-MIT Alliance, MIT
1997: Invited Professor, University of Paris VI, Paris, France
1989–1994: Co-Director, MIT Cray Supercomputer Facility, MIT

Consulting (last five years):

Member DARPA Defense Sciences Research Council

Principal Publications (last 5 years)
1. S. Sen, K. Veroy, DBP Huynh, S Deparis, NC Nguyen, AT Patera, "Natural norm" a posteriori error estimators for reduced basis approximations, Journal of Computational Physics. 217 (1): 37-62 Sep 2006.
2. NC Nguyen, K Veroy, and AT Patera, Certified real-time solution of parametrized partial differential equations, in Handbook of Materials Modeling, (S. Yip, editor), Springer (2005), pp. 1523-1558.
3. GR Liu, JH Lee, AT Patera, ZL Yang, and KY Lam, Inverse identification of thermal parameters using reduced-basis method. Computer Methods in Applied Mechanics. 194 (27-29): 3090-3107, 2005.
4. MA Grepl and AT Patera, A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. ESAIM-Mathematical Modelling and Numerical Analysis (M2AN), 39 (1): 157-181, 2005.
5. K Veroy and AT 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.
6. M Barrault, Y Maday, NC Nguyen, and AT Patera, An 'empirical interpolation' method: application to efficient reduced-basis discretization of partial differential equations. Comptes Rendus Mathematique, 339 (9): 667-672, 2004.
7. K Veroy, C Prud'homme, and AT Patera, Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds. Comptes Rendus Mathematique, 337 (9): 619-624, 2003.
8. C Prud'homme, DV Rovas, K Veroy and AT Patera, A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations. ESAIM-Mathematical Modelling and Numerical Analysis (M2AN), 36 (5): 747-771, 2002.
9. Y Maday, AT Patera, and G Turinici, Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. Comptes Rendus Mathematique, 335 (3): 289-294, 2002.
10. K Veroy, DV Rovas, and AT Patera, A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations: "convex inverse" bound conditioners. ESAIM-Control Optimization and Calculus of Variations, 8: 1007-1028, 2002.
11. C Prud'homme, DV Rovas, K Veroy, L Machiels, Y Maday, AT 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.
12. L Machiels, J Peraire, and AT Patera, A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem, Journal of Computational Physics, 172 (2): 401-425, 2001.
13. AT Patera and EM Ronquist, A general output bound result: Application to discretization and iteration error estimation and control. Mathematical Models and Methods in Applied Sciences, 11 (4): 685-712, 2001.
14. L Machiels, Y Maday, and AT Patera, Output bounds for reduced-order approximations of elliptic partial differential equations, Computer Methods in Applied Mechanics and Engineering, 190 (26-27): 3413-3426, 2001.

Honors and Awards
Best Paper in Thermophysics in 1984, American Institute of Aeronautics and Astronautics (1984)
MIT Mechanical Engineering Den Hartog Award for Excellence in Teaching (1987)
Giovanni Sacchi-Landriani Prize in Numerical Analysis, Lombardy Academy of Sciences and Letters, Milan 1994)
Invited Professor, University of Paris VI, Paris, France (1997)

Institutional and Professional Service in the last five years:
Co-Editor in Chief, Mathematical Modelling and Numerical Analysis (M2AN)