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1

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

Anthony T Patera

Journal:

Journal of Computational Physics

Year:

1984

Language:

english

File:

PDF, 1.01 MB

english, 1984

2

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

Karol Z. Korczak, Anthony T. Patera

Journal:

Journal of Computational Physics

Year:

1986

Language:

english

File:

PDF, 1.32 MB

english, 1986

3

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

Anthony T Patera

Journal:

Journal of Computational Physics

Year:

1986

Language:

english

File:

PDF, 409 KB

english, 1986

4

Recent advances in parallel spectral element simulation of unsteady incompressible flows

Paul F. Fischer, Ho Lee-Wing, George E. Karniadakis, Einar M. Rønouist, Anthony T. Patera

Journal:

Computers & Structures

Year:

1988

Language:

english

File:

PDF, 1.47 MB

english, 1988

5

Spectral element multigrid. I. Formulation and numerical results

Einar M. Rønquist, Anthony T. Patera

Journal:

Journal of Scientific Computing

Year:

1987

Language:

english

File:

PDF, 743 KB

english, 1987

6

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

Maday, Yvon, Patera, Anthony T., Penn, James D., Yano, Masayuki

Journal:

International Journal for Numerical Methods in Engineering

Year:

2015

Language:

english

File:

PDF, 2.40 MB

english, 2015

7

A Legendre spectral element method for the Stefan problem

Einar M. Rønquist, Anthony T. Patera

Journal:

International Journal for Numerical Methods in Engineering

Year:

1987

Language:

english

File:

PDF, 1.63 MB

english, 1987

8

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

Ho Lee-Wing, Anthony T. Patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1990

Language:

english

File:

PDF, 924 KB

english, 1990

9

Surrogates for numerical simulations; optimization of eddy-promoter heat exchangers

Serhat Yeşilyurt, Anthony T. patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1995

Language:

english

File:

PDF, 2.61 MB

english, 1995

10

Analysis of a part design procedure

Chahid Ghaddar, Yvon Maday, Anthony T. Patera

Journal:

Numerische Mathematik

Year:

1995

Language:

english

File:

PDF, 343 KB

english, 1995

11

A general estimate for the thermal time-to-steady-state for a solid body suddenly immersed in a fluid stream

Y. Maday, Anthony T. Patera

Journal:

International Journal of Heat and Mass Transfer

Year:

1993

Language:

english

File:

PDF, 402 KB

english, 1993

12

An Operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow

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

Journal:

Journal of Scientific Computing

Year:

1990

Language:

english

File:

PDF, 1.39 MB

english, 1990

13

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

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

Journal:

SIAM Journal on Scientific Computing

Year:

1993

Language:

english

File:

PDF, 2.56 MB

english, 1993

14

Secondary instability of wall-bounded shear flows

Orszag, Steven A., Patera, Anthony T.

Journal:

Journal of Fluid Mechanics

Year:

1983

Language:

english

File:

PDF, 3.42 MB

english, 1983

15

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

PATERA, ANTHONY T., RØNQUIST, EINAR M.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2001

Language:

english

File:

PDF, 455 KB

english, 2001

16

Three-dimensional ribbing instability in symmetric forward-roll film-coating processes

GURFINKEL CASTILLO, MARIANO E., PATERA, ANTHONY T.

Journal:

Journal of Fluid Mechanics

Year:

1997

Language:

english

File:

PDF, 2.62 MB

english, 1997

17

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

Urban, Karsten, Patera, Anthony T.

Journal:

Mathematics of Computation

Year:

2013

Language:

english

File:

PDF, 272 KB

english, 2013

18

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

Miltos E. Kambourides, Serhat Yeşilyurt, Anthony T. Patera

Journal:

International Journal for Numerical Methods in Engineering

Year:

1998

Language:

english

File:

PDF, 439 KB

english, 1998

19

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

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

Journal:

International Journal for Numerical Methods in Fluids

Year:

1998

Language:

english

File:

PDF, 538 KB

english, 1998

20

A posteriori bounds for linear functional outputs of Crouzeix–Raviart finite element discretizations of the incompressible Stokes problem

Marius Paraschivoiu, Anthony T. Patera

Journal:

International Journal for Numerical Methods in Fluids

Year:

2000

Language:

english

File:

PDF, 340 KB

english, 2000

21

A variationally consistent finite element approach to the two-fluid internal contact-line problem

Nicolas G. Hadjiconstantinou, Anthony T. Patera

Journal:

International Journal for Numerical Methods in Fluids

Year:

2000

Language:

english

File:

PDF, 164 KB

english, 2000

22

Numerical simulation of incompressible fluid flows

George Anagnostou, Yvon Maday, Anthony T. Patera, Paul F. Fischer, Einar M. Rønqist

Journal:

Concurrency and Computation: Practice and Experience

Year:

1991

Language:

english

File:

PDF, 990 KB

english, 1991

23

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

Lee-Wing Ho, Anthony T. Patera

Journal:

International Journal for Numerical Methods in Fluids

Year:

1991

Language:

english

File:

PDF, 431 KB

english, 1991

24

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

Manuel E. Cruz, Anthony T. Patera

Journal:

International Journal for Numerical Methods in Engineering

Year:

1995

Language:

english

File:

PDF, 1.92 MB

english, 1995

25

Parallel spectral element solution of the stokes problem

Paul F Fischer, Anthony T Patera

Journal:

Journal of Computational Physics

Year:

1991

Language:

english

File:

PDF, 2.51 MB

english, 1991

26

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

Ho Lee-Wing, Yvon Maday, Anthony T. Patera, Einar M. Rønquist

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1990

Language:

english

File:

PDF, 2.01 MB

english, 1990

27

A computational procedure for part design

George Anagnostou, Einar M. Rønquist, Anthony T. Patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1992

Language:

english

File:

PDF, 1.72 MB

english, 1992

28

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

Anthony T. Patera, Einar M. Rønquist

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 774 KB

english, 2007

29

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

Sébastien Boyaval, Claude Le Bris, Yvon Maday, Ngoc Cuong Nguyen, Anthony T. Patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2009

Language:

english

File:

PDF, 1.27 MB

english, 2009

30

Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds

Karen Veroy, Christophe Prud'homme, Anthony T. Patera

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 120 KB

french, 2003

31

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

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

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 127 KB

french, 2004

32

A posteriori error bounds for the empirical interpolation method

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

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

french

File:

PDF, 225 KB

french, 2010

33

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

D.B. Phuong Huynh, David J. Knezevic, Anthony T. Patera

Journal:

Comptes Rendus Mathematique

Year:

2011

Language:

french

File:

PDF, 280 KB

french, 2011

34

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

Marius Paraschivoiu, Jaime Peraire, Anthony T. Patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1997

Language:

english

File:

PDF, 1.81 MB

english, 1997

35

Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: the Helmholtz and Burgers equations

Jaume Peraire, Anthony T. Patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1999

Language:

english

File:

PDF, 560 KB

english, 1999

36

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

Robert Michael Lewis, Anthony T. Patera, Jaume Peraire

Journal:

Finite Elements in Analysis and Design

Year:

2000

Language:

english

File:

PDF, 360 KB

english, 2000

37

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

John Otto, Marius Paraschivoiu, Serhat Yesilyurt, Anthony T. Patera

Journal:

Mathematics and Computers in Simulation

Year:

1997

Language:

english

File:

PDF, 1.40 MB

english, 1997

38

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

Luc Machiels, Yvon Maday, Anthony T. Patera

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

Language:

french

File:

PDF, 167 KB

french, 2000

39

Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems

Luc Machiels, Yvon Maday, Ivan B. Oliveira, Anthony T. Patera, Dimitrios V. Rovas

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

Language:

french

File:

PDF, 162 KB

french, 2000

40

Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method

Isabelle Charpentier, Yvon Maday, Anthony T. Patera

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 466 KB

1999

41

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

Yvon Maday, Anthony T. Patera, Jaume Peraire

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 538 KB

1999

42

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

Yvon Maday, Anthony T. Patera, G. Turinici

Journal:

Comptes Rendus Mathematique

Year:

2002

Language:

french

File:

PDF, 81 KB

french, 2002

43

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

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

Journal:

Year:

2009

Language:

english

File:

PDF, 852 KB

english, 2009

44

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

Marius Paraschivoiu, Anthony T. Patera

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1998

Language:

english

File:

PDF, 1.49 MB

english, 1998

45

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

Yvon Maday, Anthony T. Patera, Gabriel Turinici

Journal:

Journal of Scientific Computing

Year:

2002

Language:

english

File:

PDF, 123 KB

english, 2002

46

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

Karsten Urban, Anthony T. Patera

Journal:

Comptes Rendus Mathematique

Year:

2012

Language:

french

File:

PDF, 156 KB

french, 2012

47

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

Anthony T. Patera, Einar M. Rønquist

Journal:

Comptes Rendus Mathematique

Year:

2012

File:

PDF, 158 KB

2012

48

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

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

Journal:

SIAM Journal on Scientific Computing

Year:

2010

Language:

english

File:

PDF, 672 KB

english, 2010

49

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

Yeşilyurt, Serhat, Ghaddar, Chahid K., Cruz, Manuel E., Patera, Anthony T.

Journal:

SIAM Journal on Scientific Computing

Year:

1996

Language:

english

File:

PDF, 2.39 MB

english, 1996

50

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

Knezevic, David J., Patera, Anthony T.

Journal:

SIAM Journal on Scientific Computing

Year:

2010

Language:

english

File:

PDF, 1.42 MB

english, 2010