Anthony T. Patera

发表

Bayesian-Validated Surrogates for Noisy Computer Simulations; Application to Random Media

Serhat Yesilyurt, Chahid K. Ghaddar, Manuel E. Cruz, 1996, SIAM J. Sci. Comput..

Numerical Optimization of Multifunctional Components

Anthony T. Patera, 2004 .

Fast Bound Methods for Large Scale Simulation with Application for Engineering Optimization

Thomas A. Zang, Anthony T. Patera, Jaime Peraire, 2002 .

A Two-Level Parameterized Model-Order Reduction Approach for Time-Domain Elastodynamics

Anthony T. Patera, Mohamed Aziz Bhouri, 2020 .

Component-based reduced basis for parametrized symmetric eigenproblems

Anthony T. Patera, Sylvain Vallaghé, David J. Knezevic, 2015, Adv. Model. Simul. Eng. Sci..

Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations

Anthony T. Patera, Yvon Maday, Daniel I. Meiron, 1993, SIAM J. Sci. Comput..

Parallel Spectral Element Methods For The Incompressible Navier-Stokes Equations

Anthony T. Patera, Paul Fischer, P. Fischer, 1989 .

Randomized Residual-Based Error Estimators for Parametrized Equations

Anthony T. Patera, Olivier Zahm, Kathrin Smetana, 2018, SIAM J. Sci. Comput..

A parallel Monte-Carlo finite-element procedure for the analysis of multicomponent random media

Anthony T. Patera, Manuel E. Cruz, A. Patera, 1995 .

High-Fidelity Real-Time Simulation on Deployed Platforms

Anthony T. Patera, D. B. P. Huynh, John W. Peterson, 2011 .

A stabilized POD model for turbulent flows over a range of Reynolds numbers: Optimal parameter sampling and constrained projection

Anthony T. Patera, Yvon Maday, Tommaso Taddei, 2018, J. Comput. Phys..

Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures

Anthony T. Patera, Kathrin Smetana, A. Patera, 2016, SIAM J. Sci. Comput..

Model order reduction of parameterized systems (MoRePaS)

Gianluigi Rozza, Karsten Urban, Anthony T. Patera, 2015, Adv. Comput. Math..

Identification of Convection Constants for Electronic Packages Using Modified Genetic Algorithm and Reduced-Basis Method

Anthony T. Patera, Zhenglin Yang, Gui-Rong Liu, 2002 .

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

Anthony T. Patera, Einar M. Rønquist, Jens L. Eftang, 2010, SIAM J. Sci. Comput..

Geometry-defining processors for partial differential equations

Anthony T. Patera, Daniel Dewey, A. Patera, 1988 .

An improved error bound for reduced basis approximation of linear parabolic problems

Karsten Urban, Anthony T. Patera, A. Patera, 2013, Math. Comput..

"Natural norm" a posteriori error estimators for reduced basis approximations

Anthony T. Patera, D. B. P. Huynh, Ngoc Cuong Nguyen, 2006, J. Comput. Phys..

A Localization Strategy for Data Assimilation; Application to State Estimation and Parameter Estimation

Anthony T. Patera, Tommaso Taddei, 2018, SIAM J. Sci. Comput..

Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT)

Anthony T. Patera, Yvon Maday, Rachida Chakir, 2018 .

Real-Time Reliable Simulation of Heat Transfer Phenomena

Gianluigi Rozza, Anthony T. Patera, Ngoc Cuong Nguyen, 2009 .

New Concepts in Computer Simulation-Surrogates

Anthony T. Patera, 1997 .

Numerical simulation of incompressible fluid flows

Anthony T. Patera, Yvon Maday, Paul F. Fischer, 1991, Concurr. Pract. Exp..

Validation by Monte Carlo sampling of experimental observation functionals

Anthony T. Patera, Tommaso Taddei, James D. Penn, 2017 .

General Electric Research Team Mathematics Project

Anthony T. Patera, 2005 .

A Certified Reduced Basis Method for the Fokker--Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow

Anthony T. Patera, David J. Knezevic, 2010, SIAM J. Sci. Comput..

The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model

Anthony T. Patera, Sylvain Vallaghé, A. Patera, 2014, SIAM J. Sci. Comput..

PDE Apps for Acoustic Ducts: A Parametrized Component-to-System Model-Order-Reduction Approach

Anthony T. Patera, David J. Knezevic, Jonas Ballani, 2017, Lecture Notes in Computational Science and Engineering.

A Priori Convergence Theory for Reduced-Basis Approximations of Single-Parameter Elliptic Partial Differential Equations

Anthony T. Patera, Yvon Maday, Gabriel Turinici, 2002, J. Sci. Comput..

Computational construction kits for geometric modeling and design (Panel Abstract)

Anthony T. Patera, Robert Aish, John H. Frazer, 2001, I3D '01.

Domain Decomposition by the Mortar Element Method

Anthony T. Patera, Yvon Maday, Christine Bernardi, 1993 .

Bayesian-validated computer-simulation surrogates for optimization and design: error estimates and applications

Serhat Yesilyurt, Anthony T. Patera, Marius Paraschivoiu, 1997 .

Approximation of Parametric Derivatives by the Empirical Interpolation Method

Anthony T. Patera, Einar M. Rønquist, Martin A. Grepl, 2013, Found. Comput. Math..

A General Lagrangian Formulation for the Computation of A Posteriori Finite Element Bounds

Anthony T. Patera, J. Peraire, J. Peraire, 2003 .

Spectral element methods: Algorithms and architectures

Anthony T. Patera, Daniel Dewey, Einar M. Rønquist, 1988 .

Simulation-Based Classification; a Model-Order-Reduction Approach for Structural Health Monitoring

Anthony T. Patera, Tommaso Taddei, Masayuki Yano, 2017 .

A Two-Step Certified Reduced Basis Method

Anthony T. Patera, D. B. P. Huynh, David J. Knezevic, 2012, J. Sci. Comput..

Non-parametric-validated computer-simulation surrogates: a Pareto formulation

Serhat Yesilyurt, Anthony T. Patera, Miltos E. Kambourides, 1998 .

Numerical simulation of incompressible fluid flows

Anthony T. Patera, Yvon Maday, Paul F. Fischer, 1990, Concurr. Pract. Exp..

Geometry-defining processors for engineering design and analysis

Anthony T. Patera, D. Dewey, George Anagnostou, 1989, The Visual Computer.

Reduced basis approximation and a posteriori error estimation for a Boltzmann model

Anthony T. Patera, Einar M. Rønquist, A. Patera, 2007 .

A static condensation reduced basis element method: Complex problems

Anthony T. Patera, D. B. P. Huynh, David J. Knezevic, 2013 .

Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

Anthony T. Patera, Yvon Maday, Gabriel Turinici, 2002 .

A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities

Anthony T. Patera, D. B. P. Huynh, David J. Knezevic, 2018 .

Inverse identification of thermal parameters using reduced-basis method

Anthony T. Patera, K. Y. Lam, Gui-Rong Liu, 2005 .

Reliable Real-Time Optimization of Nonconvex Systems Described by Parametrized Partial Differential Equations

Anthony T. Patera, Ivan B. Oliveira, 2003 .

A reduced basis method for the wave equation

Karsten Urban, Anthony T. Patera, Silke Glas, 2019, International Journal of Computational Fluid Dynamics.

Model order reduction and error estimation with an application to the parameter-dependent eddy current equation

Boris Lohmann, Anthony T. Patera, Bernard Haasdonk, 2011 .

Shape Optimization by Bayesian-Validated Computer-Simulation Surrogates

Anthony T. Patera, 1997 .

Approximation of Parametrized Functions

Anthony T. Patera, Ngoc Cuong Nguyen, Jaime Peraire, 2006 .

Port reduction in parametrized component static condensation: approximation and a posteriori error estimation

Anthony T. Patera, Jens L. Eftang, A. Patera, 2013 .

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

Anthony T. Patera, A. Patera, K. Korczak, 1986 .

Certified reduced basis model validation: A frequentistic uncertainty framework

Anthony T. Patera, D. B. P. Huynh, David J. Knezevic, 2012 .

A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: application to a natural convection problem

Anthony T. Patera, Jaime Peraire, L. Machiels, 2001 .

The Generalized Empirical Interpolation Method: Stability theory on Hilbert spaces with an application to the Stokes equation

Anthony T. Patera, Yvon Maday, Olga Mula, 2015 .

Reduced Basis Approximation and a Posteriori Error Estimation for Parametrized Parabolic PDEs: Application to Real‐Time Bayesian Parameter Estimation

Gianluigi Rozza, Anthony T. Patera, Cuong Nguyen, 2010 .

Output bound approximations for partial differential equations; application to the incompressible navier-stokes equations

Anthony T. Patera, Jaime Peraire, L. Machiels, 1999 .

Secondary instability of wall-bounded shear flows

Anthony T. Patera, Steven A. Orszag, S. Orszag, 1983, Journal of Fluid Mechanics.

Heterogeneous Atomistic-Continuum Methods for Dense Fluid Systems

Anthony T. Patera, Nicolas G. Hadjiconstantinou, A. Patera, 1997 .

A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations

Anthony T. Patera, Dimitrios V. Rovas, Christophe Prud'homme, 2002 .

An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs

Anthony T. Patera, Masayuki Yano, A. Patera, 2019, Computer Methods in Applied Mechanics and Engineering.

A Posteriori Error Bounds for the Empirical Interpolation Method

Anthony T. Patera, Martin A. Grepl, Jens L. Eftang, 2010 .

Nonconforming mortar element methods: Application to spectral discretizations

Anthony T. Patera, Yvon Maday, Catherine Mavriplis, 1988 .

Fast Bounds for Outputs of Partial Differential Equations

Anthony T. Patera, Yvon Maday, Jaime Peraire, 1998 .

A natural-norm Successive Constraint Method for inf-sup lower bounds

Anthony T. Patera, Jan S. Hesthaven, Yanlai Chen, 2010 .

Variational bound finite element methods for three-dimensional creeping porous media and sedimentation flows

Manuel E. Cruz, Anthony T. Patera, Matteo Pedercini, 1998 .

A Legendre spectral element method for the Stefan problem

Anthony T. Patera, Einar M. Rønquist, A. Patera, 1987 .

Reduced Basis Method for 2nd Order Wave Equation: Application to One-Dimensional Seismic Problem

Anthony T. Patera, A. Patera, A. Tan, 2007 .

10. Certified Rapid Solution of Partial Differential Equations for Real-Time Parameter Estimation and Optimization

Anthony T. Patera, Ngoc Cuong Nguyen, Karen Veroy, 2007 .

A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and A Posteriori error estimation

Anthony T. Patera, Jens L. Eftang, 2014 .

Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data

Anthony T. Patera, Einar M. Rønquist, A. Patera, 2012 .

A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficient

Anthony T. Patera, Yvon Maday, Ngoc Cuong Nguyen, 2009 .

Variational formulation of three‐dimensional viscous free‐surface flows: Natural imposition of surface tension boundary conditions

Anthony T. Patera, Lee-Wing Ho, A. Patera, 1991 .

Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation

Gianluigi Rozza, Anthony T. Patera, N. C. Nguyen, 2009 .

A flux-free nodal Neumann subproblem approach to output bounds for partial differential equations

Anthony T. Patera, Yvon Maday, Luc Machiels, 2000 .

Reduced-Basis Output-Bound Methods for Elliptic Partial Differential Equations

Anthony T. Patera, Dimitrios V. Rovas, D. Rovas, 2000 .

A Static condensation Reduced Basis Element method: approximation and a posteriori error estimation

Anthony T. Patera, D. B. P. Huynh, David J. Knezevic, 2013 .

Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains

Anthony T. Patera, A. Patera, 1986 .

A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations

Anthony T. Patera, Yvon Maday, Einar M. Rønquist, 1990 .

45. A blackbox reduced-basis output bound method for shape optimization

Anthony T. Patera, Dimitrios V. Rovas, Yvon Maday, 2001 .

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

Anthony T. Patera, Jaime Peraire, J. Peraire, 1998 .

A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem*

Anthony T. Patera, Yvon Maday, A. Patera, 1999 .

A space-time hp-interpolation-based certified reduced basis method for Burgers' equation

Karsten Urban, Anthony T. Patera, Masayuki Yano, 2014 .

Exploiting hydrodynamic instabilities. Resonant heat transfer enhancement

Anthony T. Patera, B. B. Mikic, A. Patera, 1986 .

Spectral element multigrid. I. Formulation and numerical results

Anthony T. Patera, Einar M. Rønquist, A. Patera, 1987 .

A space–time variational approach to hydrodynamic stability theory

Anthony T. Patera, Masayuki Yano, A. Patera, 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Asymptotic a Posteriori Finite Element Bounds for the Outputs of Noncoercive Problems: the Helmholtz

Anthony T. Patera, J. Peraire, J. Peraire, 1999 .

Model Reduction of Parametrized Systems

Gianluigi Rozza, Karsten Urban, Anthony T. Patera, 2017 .

A model-data weak formulation for simultaneous estimation of state and model bias

Anthony T. Patera, Masayuki Yano, James D. Penn, 2013 .

RESEARCH ARTICLE An hp Certied Reduced Basis Method for Parametrized Parabolic Partial Dierential Equations

Anthony T. Patera, David J. Knezevic, Jens L. Eftang, 2010 .

A well-posed optimal spectral element approximation for the Stokes problem

Anthony T. Patera, Yvon Maday, Einar M. Rønquist, 1987 .

A GENERAL OUTPUT BOUND RESULT: APPLICATION TO DISCRETIZATION AND ITERATION ERROR ESTIMATION AND CONTROL

Anthony T. Patera, Einar M. Rønquist, 2001 .

Feasibility and Competitiveness of a Reduced Basis Approach for Rapid Electronic Structure Calculations in Quantum Chemistry

George Shu Heng Pau, Anthony T. Patera, Yvon Maday, 2006 .

A posteriori error estimation for reduced-basis approximation of parametrized elliptic coercive partial differential equations : “convex inverse” bound conditioners

Anthony T. Patera, Dimitrios V. Rovas, Karen Veroy, 2002 .

Output bounds for reduced-order approximations of elliptic partial differential equations

Anthony T. Patera, Yvon Maday, Luc Machiels, 2001 .

A hierarchical duality approach to bounds for the outputs of partial differential equations

Anthony T. Patera, Marius Paraschivoiu, M. Paraschivoiu, 1998 .

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

Anthony T. Patera, Nesreen Ghaddar, B. B. Mikic, 1986, Journal of Fluid Mechanics.

Real-Time Reliable Prediction of Linear-Elastic Mode-I Stress Intensity Factors for Failure Analysis

Anthony T. Patera, D. B. P. Huynh, Jaime Peraire, 2006 .

A parameterized‐background data‐weak approach to variational data assimilation: formulation, analysis, and application to acoustics

Anthony T. Patera, Yvon Maday, Masayuki Yano, 2015 .

A new error bound for reduced basis approximation of parabolic partial differential equations

Karsten Urban, Anthony T. Patera, A. Patera, 2012 .

An LP empirical quadrature procedure for parametrized functions

Anthony T. Patera, Masayuki Yano, A. Patera, 2017 .

A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows

Anthony T. Patera, A. Patera, L.-W. Ho, 1990 .

REDUCED BASIS METHODS AND A POSTERIORI ERROR ESTIMATORS FOR HEAT TRANSFER PROBLEMS

Gianluigi Rozza, Anthony T. Patera, Simone Deparis, 2009 .

Spectral collocation methods

Anthony T. Patera, David A. Kopriva, M. Hussaini, 1987 .

Analysis of a part design procedure

Anthony T. Patera, Yvon Maday, Chahid Kamel Ghaddar, 1995 .

Reduced basis approximation and a posteriori error estimation for stress intensity factors

Anthony T. Patera, D. B. P. Huynh, Jaime Peraire, 2007 .

A SPACE-TIME CERTIFIED REDUCED BASIS METHOD FOR BURGERS' EQUATION

Anthony T. Patera, Masayuki Yano, A. Patera, 2014 .

Port Reduction in Component-Based Static Condensation for Parametrized Problems : Approximation and A Posteriori Error Estimation ∗

Anthony T. Patera, Jens L. Eftang, A. Patera, 2012 .

NUMERICAL ANALYSIS OF A POSTERIORI FINITE ELEMENT BOUNDS FOR LINEAR FUNCTIONAL OUTPUTS

Anthony T. Patera, Yvon Maday, A. Patera, 2000 .

A General Framework for Finite Element A Posteriori ErrorControl : Application to Linear and NonlinearConvection { Dominated ProblemsLuc

Anthony T. Patera, Yvon Maday, Luc Machiels, 1998 .

A POSTERIORI FINITE ELEMENT ERROR BOUNDS FOR NON-LINEAR OUTPUTS OF THE HELMHOLTZ EQUATION

Josep Sarrate, Anthony T. Patera, J. Peraire, 1999 .

A posteriori finite element bounds for sensitivity derivatives of partial-differential-equation outputs

Anthony T. Patera, Robert Michael Lewis, J. Peraire, 2000 .

A Posteriori Bounds for Linear-Functional Outputs of Crouzeix-Raviart Finite Element Discretizations of the Incompressible Stokes Problem

Anthony T. Patera, Marius Paraschivoiu, M. Paraschivoiu, 2000 .

A Laplace transform certified reduced basis method; application to the heat equation and wave equation

Anthony T. Patera, David J. Knezevic, A. Patera, 2011 .