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Anthony T. Patera

Anthony T. Patera

D-Index & Metrics

Mechanical and Aerospace Engineering

D-Index
68
Citations
22387
World Ranking
428
National Ranking
199

Research.com Recognitions

  • 2013 - THE THOMAS J.R. HUGHES MEDAL For seminal contributions in spectral element methods, certified reduced-basis methods, a-posteriori error estimations and scale bridging methods applied to complex fluid flow problems

Overview

Anthony T. Patera is affiliated with MIT in the United States, with a research focus primarily situated in the fields of Engineering and Social Sciences. Their work spans several subfields, including Computational Mechanics, Statistical and Nonlinear Physics, Numerical Analysis, Education, and Electrical and Electronic Engineering.

The scientist's research topics cover a range of advanced computational and mathematical methods. These include:

  • Advanced Numerical Methods in Computational Mathematics
  • Model Reduction and Neural Networks
  • Numerical methods for differential equations
  • Computational Fluid Dynamics and Aerodynamics
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering

Their publication record shows contributions to multiple venues, notably:

  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • DSpace@MIT (Massachusetts Institute of Technology)
  • SSRN Electronic Journal
  • Jurnal Pewarta Indonesia

Recent papers include:

  • A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics, 2021, Computer Methods in Applied Mechanics and Engineering
  • A Two-Level Parameterized Model-Order Reduction Approach for Time-Domain Elastodynamics, 2020, arXiv (Cornell University)
  • Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT), 2021, DSpace@MIT (Massachusetts Institute of Technology)
  • Error Estimators for the Small-Biot Lumped Approximation for the Conduction Dunking Problem, 2024, arXiv (Cornell University)
  • Certified Lumped Approximations for the Conduction Dunking Problem, 2024, arXiv (Cornell University)

Frequently collaborating co-authors include:

  • Kento Kaneko
  • Claude Le Bris
  • Mohamed Aziz Bhouri
  • Ni Putu Limarandani
  • Rachida Chakir

Among awards, Anthony T. Patera received THE THOMAS J.R. HUGHES MEDAL in 2013 for work in spectral element methods, certified reduced-basis methods, a-posteriori error estimations, and scale bridging methods applied to complex fluid flow problems.

Best Publications

  • A spectral element method for fluid dynamics: Laminar flow in a channel expansion

    Anthony T Patera

  • An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

    Maxime Barrault;Yvon Maday;Ngoc Cuong Nguyen;Anthony T. Patera

  • Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations

    Unknown

  • Spectral element methods for the incompressible Navier-Stokes equations

    Yvon Maday;Anthony T. Patera

  • Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods

    Christophe Prud'Homme;Dimitrios Rovas;Karen Veroy;Luc Machiels

  • Secondary instability of wall-bounded shear flows

    Steven A. Orszag;Anthony T. Patera

  • Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

    Martin A. Grepl;Yvon Maday;Yvon Maday;Ngoc C. Nguyen;Anthony T. Patera

  • A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

    Martin Alexander Grepl;Anthony T. Patera

  • Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds

    K. Veroy;A. T. Patera

  • Domain Decomposition by the Mortar Element Method

    C. Bernardi;Y. Maday;A. T. Patera

  • Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations

    Jan S Hesthaven;Anthony T Patera

  • An operator-integration-factor splitting method for time-dependent problems: application to incompressible fluid flow

    Y. Maday;Anthony T. Patera;Einar M. Rønquist

  • Numerical investigation of incompressible flow in grooved channels. Part 1. Stability and self-sustained oscillations

    N. K. Ghaddar;K. Z. Korczak;B. B. Mikic;A. T. Patera

  • A Posteriori Error Bounds for Reduced-Basis Approximation of Parametrized Noncoercive and Nonlinear Elliptic Partial Differential Equations

    Karen Veroy;Christophe Prud'homme;Dimitrios Rovas;Anthony Patera

  • A PRIORI CONVERGENCE OF THE GREEDY ALGORITHM FOR THE PARAMETRIZED REDUCED BASIS METHOD

    Annalisa Buffa;Yvon Maday;Anthony T. Patera;Christophe Prud’homme

  • A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants

    D.B.P. Huynh;G. Rozza;S. Sen;A.T. Patera

  • A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations

    Marius Paraschivoiu;Jaime Peraire;Anthony T. Patera

  • An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry

    Karol Z Korczak;Anthony T Patera

  • Certified Real-Time Solution of Parametrized Partial Differential Equations

    Nguyen Ngoc Cuong;Karen Veroy;Anthony T. Patera

  • Heterogeneous Atomistic-Continuum Representations for Dense Fluid Systems

    Nicolas G. Hadjiconstantinou;Anthony T. Patera

  • An $hp$ Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations

    Jens L. Eftang;Anthony T. Patera;Einar M. Rønquist

  • Numerical investigation of incompressible flow in grooved channels. Part 2. Resonance and oscillatory heat-transfer enhancement

    N. K. Ghaddar;M. Magen;B. B. Mikic;A. T. Patera

  • Nonconforming mortar element methods: Application to spectral discretizations

    Yvon Maday;Cathy Mavriplis;Anthony T. Patera

  • Analysis of iterative methods for the steady and unsteady Stokes problem: application to spectral element discretizations

    Yvon Maday;Dan Meiron;Anthony T. Patera;Einar M. Rønquist

  • Bounds for Linear–Functional Outputs of Coercive Partial Differential Equations : Local Indicators and Adaptive Refinement

    J. Peraire;A.T. Patera

  • Minimum-dissipation transport enhancement by flow destabilization: Reynolds’ analogy revisited

    George E. Karniadakis;Bora B. Mikic;Anthony T. Patera

Frequent Co-Authors

Yvon Maday
Yvon Maday Sorbonne University
Paul Fischer
Paul Fischer University of Illinois at Urbana-Champaign
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies
George Em Karniadakis
George Em Karniadakis Brown University
Nesreen Ghaddar
Nesreen Ghaddar American University of Beirut
Gabriel Turinici
Gabriel Turinici Paris Dauphine University
Tony Lelièvre
Tony Lelièvre École des Ponts ParisTech
Gui-Rong Liu
Gui-Rong Liu University of Cincinnati
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

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