Search Results - "A. Patera"

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  1. 1

    Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations: Application to Transport and Continuum Mechanics by Rozza, G., Huynh, D. B. P., Patera, A. T.

    “…In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely…”
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    Journal Article
  2. 2

    Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds by Veroy, K., Patera, A. T.

    “…We present a technique for the evaluation of linear‐functional outputs of parametrized elliptic partial differential equations in the context of deployed (in…”
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    Journal Article Conference Proceeding
  3. 3

    A 'best points' interpolation method for efficient approximation of parametrized functions by Nguyen, N. C., Patera, A. T., Peraire, J.

    “…We present an interpolation method for efficient approximation of parametrized functions. The method recognizes and exploits the low‐dimensional manifold…”
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    Journal Article
  4. 4

    Simulation-Based Classification; a Model-Order-Reduction Approach for Structural Health Monitoring by Taddei, T., Penn, J. D., Yano, M., Patera, A. T.

    “…We present a model-order-reduction approach to simulation-based classification, with particular application to structural health monitoring. The approach…”
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    Journal Article
  5. 5

    The Generalized Empirical Interpolation Method: Stability theory on Hilbert spaces with an application to the Stokes equation by Maday, Y., Mula, O., Patera, A.T., Yano, M.

    “…The Generalized Empirical Interpolation Method (GEIM) is an extension first presented by Maday and Mula in Maday and Mula (2013) in 2013 of the classical…”
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  6. 6

    A natural-norm Successive Constraint Method for inf-sup lower bounds by Huynh, D.B.P., Knezevic, D.J., Chen, Y., Hesthaven, J.S., Patera, A.T.

    “…We present a new approach for the construction of lower bounds for the inf-sup stability constants required in a posteriori error analysis of reduced basis…”
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  7. 7

    A static condensation reduced basis element method: Complex problems by Huynh, D.B.P., Knezevic, D.J., Patera, A.T.

    “…► Extend the static condensation reduced basis element for complex-valued problems. ► Introduce primal–dual RB methods for general non-symmetric (complex)…”
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  8. 8

    Evidence for surface faulting events along the Paganica fault prior to the 6 April 2009 L'Aquila earthquake (central Italy) by Cinti, F. R., Pantosti, D., De Martini, P. M., Pucci, S., Civico, R., Pierdominici, S., Cucci, L., Brunori, C. A., Pinzi, S., Patera, A.

    Published in Journal of Geophysical Research (01-07-2011)
    “…We performed paleoseismological investigations at four sites across the normal Paganica fault (PF) (source of the 2009 Mw 6.3 L'Aquila earthquake), with the…”
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    Journal Article
  9. 9

    Virtual reading of a large ancient handwritten science book by Albertin, F., Patera, A., Jerjen, I., Hartmann, S., Peccenini, E., Kaplan, F., Stampanoni, M., Kaufmann, R., Margaritondo, G.

    Published in Microchemical journal (01-03-2016)
    “…We present a fundamental development step of a new technique to read and digitize ancient handwritten documents. Chemical analysis by x-ray fluorescence and…”
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    Journal Article
  10. 10

    Reduced Basis Techniques for Stochastic Problems by Boyaval, S., Le Bris, C., Lelièvre, T., Maday, Y., Nguyen, N. C., Patera, A. T.

    “…We report here on the recent application of a now classical general reduction technique, the Reduced-Basis (RB) approach initiated by C. Prud’homme et al. in…”
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    Journal Article
  11. 11

    Reduced basis approximation and a posteriori error estimation for stress intensity factors by Huynh, D. B. P., Patera, A. T.

    “…We develop reduced basis approximations, rigorous a posteriori error bounds, and offline–online computational procedures for the accurate, fast, and reliable…”
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    Journal Article
  12. 12

    Tsunami risk assessments in Messina, Sicily – Italy by Grezio, A, Gasparini, P, Marzocchi, W, Patera, A, Tinti, S

    Published in Natural hazards and earth system sciences (17-01-2012)
    “…We present a first detailed tsunami risk assessment for the city of Messina where one of the most destructive tsunami inundations of the last centuries…”
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  13. 13
  14. 14

    A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities by Ballani, J., Huynh, D.B.P., Knezevic, D.J., Nguyen, L., Patera, A.T.

    “…The SCRBE (Static-Condensation Reduced-Basis-Element) method is a component-to-system model order reduction approach for efficient many-query and real-time…”
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  15. 15

    Certified reduced basis model validation: A frequentistic uncertainty framework by Huynh, D.B.P., Knezevic, D.J., Patera, A.T.

    “…We introduce a frequentistic validation framework for assessment — acceptance or rejection — of the consistency of a proposed parametrized partial differential…”
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  16. 16
  17. 17

    High-fidelity real-time simulation on deployed platforms by Huynh, D.B.P., Knezevic, D.J., Peterson, J.W., Patera, A.T.

    Published in Computers & fluids (01-04-2011)
    “…We present a certified reduced basis method for high-fidelity real-time solution of parametrized partial differential equations on deployed platforms…”
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    Journal Article Conference Proceeding
  18. 18

    “Natural norm” a posteriori error estimators for reduced basis approximations by Sen, S., Veroy, K., Huynh, D.B.P., Deparis, S., Nguyen, N.C., Patera, A.T.

    Published in Journal of computational physics (01-09-2006)
    “…We present a technique for the rapid and reliable prediction of linear-functional outputs of coercive and non-coercive linear elliptic partial differential…”
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  19. 19

    A Two-Step Certified Reduced Basis Method by Eftang, J. L., Huynh, D. B. P., Knezevic, D. J., Patera, A. T.

    Published in Journal of scientific computing (01-04-2012)
    “…In this paper we introduce a two-step Certified Reduced Basis (RB) method. In the first step we construct from an expensive finite element “truth”…”
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  20. 20

    Inverse identification of thermal parameters using reduced-basis method by Liu, G.R., Lee, J.H., Patera, A.T., Yang, Z.L., Lam, K.Y.

    “…A novel computational method is presented to inversely identify heat convection constants for complex engineering systems. A reduced-basis approach is…”
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