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Anthony T Patera

Anthony T Patera

Ford Professor of Engineering
Professor of Mechanical Engineering

Room 3-266
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge MA 02139-4307
Phone: 617-253-8122  
Email:

Curriculum Vitae

Administrative Contact:
Debra Blanchard
Room 3-264
Phone: 617-258-5808  
Email:

Web http://augustine.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 Positions

2006–present       Ford Professor of Engineering
1997–2006   SoE Professor of Teaching Innovation
1991–present       Full Professor, Mechanical Engineering
1985–1988   Associate Professor, Mechanical Engineering
1982–1985   Assistant Professor, Mechanical Engineering

 

MIT Service

2009–2010   Chair, ad hoc Committee on Conceptual Design for Singapore University of Design and Technology, MIT
2008–present           Co-Director, MIT Center for Computational Engineering, MIT
2004–2005   Chair, Strategic Planning Committee, MechE Department
2001–2006   MIT Co-Director, Singapore-MIT Alliance, MIT
1989–1994   Co-Director, MIT Cray Supercomputer Facility, MIT

 

Principal Publications (last 5 years)

  1. K Urban and AT Patera, "An Improved Error Bound for Reduced Basis Approximation of Linear Parabolic Problems." Submitted to Mathematics of Computation, (in press 2013).
  2. DBP Huynh, DJ Knezevic, and AT Patera, “A Static Condensation Reduced Basis Element Method: Approxi­mation and A Posteriori Error Estimation,” Math Model Numer Anal, (47(1): 213--251, 2013.  doi: 10.1051/m2an/2012022
  3. AT Patera and EM Rønquist, Regression on Parametric Manifolds: Estimation of Spatial Fields, Functional Outputs, and Parameters from Noisy Data. CR Acad Sci Paris, Series I 350(9-10):543-547, 2012. doi:10.1016/j.crma.2012.05.002
  4. K Urban and AT Patera,  “A New Error Bound for Reduced Basis Approximation of Parabolic Partial Differential Equations,” CR Acad Sci Paris Series I 350(3-4):203–207, 2012. doi:10.1016/j.crma.2012.01.026
  5. A Buffa, Y Maday, AT Patera, C Prud'homme, and G Turinici, “A Priori Convergence of the Greedy Algorithm for the Parametrized Reduced Basis,” Math Model Numer Anal, 46(3):595–603, 2012. doi:10.1051/m2an/2011056
  6. JL Eftang, DBP Huynh, DJ Knezevic, and AT Patera, “A Two-Step Certified Reduced Basis Method.” J Sci Comput, 51:28–58, 2012. doi:10.1007/s10915-011-9494-2
  7. DBP Huynh, DJ Knezevic, and AT Patera, “Certified Reduced Basis Model Validation: A Frequentistic Uncertainty Framework,” Comput Methods Appl Mech Engrg, 201-204:13–24, 2012.  doi:10.1016/j.cma.2011.09.011
  8. JL Eftang, DJ Knezevic, and AT Patera, “An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations,” Math Comput Model Dyn Syst, 17(4):395–422, 2011. doi:10.1080/13873954.2011.547670
  9. DBP Huynh, DJ Knezevic, and AT Patera, “A Laplace Transform Certified Reduced Basis Method; Application to the Heat Equation and Wave Equation,” CR Acad Sci Paris Series I, 349(7-8):401–405, 2011. doi:10.1016/j.crma.2011.02.003
  10. DBP Huynh, DJ Knezevic, JW Peterson, and AT Patera, “High-Fidelity Real-Time Simulation on Deployed Platforms,” Computers and Fluids, 43(1):74–81, 2011. doi:10.1016/j.compfluid.2010.07.007
  11. DJ Knezevic, NC Nguyen, and AT Patera, “Reduced Basis Approximation and A Posteriori Error Estimation for the Parametrized Unsteady Boussinesq Equations,” Math Models Methods Appl Sci, 21(7):1415–1442, 2011. doi:10.1142/S0218202511005441
  12. DJ Knezevic and AT Patera, “A Certified Reduced Basis Method for the Fokker-Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow,” SIAM J on Scientific Computing, 32(2):793–817, 2010. doi:10.1137/090759239
  13. DBP Huynh, DJ Knezevic, Y Chen, JS  Hesthaven, and AT Patera, “A Natural-Norm Successive Con­straint Method for Inf-Sup Lower Bounds,” Comput Methods Appl Mech Engrg, 199:1963–1975, 2010. doi:10.1016/j.cma.2010.02.011
  14. S Boyaval, C Le Bris, T Lelièvre, Y Maday, NC Nguyen, and AT Patera, “Reduced Basis Techniques for Stochastic Problems,” Arch Comput Methods Eng, 17(4):435–454, 2010.  doi:10.1007/s11831-010-9056-z
  15. JL Eftang, AT Patera, and EM Rønquist, An “hp” Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations. SIAM Journal on Scientific Computing, 32(6):3170–3200, 2010.  doi:0.1007/978-3-642-15337-2_15
  16. JL Eftang, MA Grepl, and AT Patera, “A Posteriori Error Bounds for the Empirical Interpolation Method,” CR Acad Sci Paris Series I, 348(9–10):575–579, 2010. doi:10.1016/j.crma.2010.03.004
  17. Y Maday, NC Nguyen, AT Patera, and GSH Pau, “A General Multipurpose Interpolation Procedure:  The magic points,” Communications on Pure and Applied Analysis, 8(1): 383–404, 2009. doi:10.3934/cpaa.2009.8.383
  18. NC Nguyen, G Rozza, and AT Patera, “Reduced Basis Approximation and A Posteriori Error Estimation for the Time-Dependent Viscous Burgers Equation,” Calcolo, 46(3):157–185, 2009. doi:10.1007/s10092-009-0005-x
  19. S Boyaval, C  Le Bris, Y Maday, NC Nguyen, and AT Patera, “A Reduced Basis Approach for Variational Problems with Stochastic Parameters: Application to Heat Conduction with Variable Robin Coefficient,” Comput Methods Appl Mech Engrg, 198(41-44):3187–3206, 2009. doi:10.1016/j.cma.2009.05.019
  20. NC Nguyen, AT Patera, and J Peraire, “A ‘best points’ interpolation method for efficient approximation of parametrized functions,” Int J Numer Meth Engng, 73(4): 521–543, 2008. doi:10.1002/nme.2086
  21. G Rozza, DBP Huynh, and AT Patera, “Reduced Basis Approximation and A Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations — Application to Transport and Continuum Mechanics,” Arch Comput Methods Eng, 15(3): 229–275, 2008. doi:10.1007/s11831-008-9019-9

 

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)
    Hans Kupczyk Guest Professorship Award 2010, Universität Ulm, Germany (2010)
    Honorary Member, Société de Mathématiques Appliquées et Industrielles (SMAI, France) (2012)
    "Chaire d'Excellence," Fondation Sciences Mathematiques de Paris (January 2013)

 

 

Professional Service

    Co-Editor in Chief, Mathematical Modelling and Numerical Analysis (M2AN) (2003–2012)
    Member, Editorial Board, Springer-Verlag Book Series on Modeling, Simulations & Applications (2008–present)
    Associate Editor, Advanced Modeling and Simulation in Engineering Sciences  (2013–present)

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