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Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations: Application to Transport and Continuum Mechanics

Archives of computational methods in engineering, 2008-09, Vol.15 (3), p.229-275

2008

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

International journal for numerical methods in fluids, 2005-03, Vol.47 (8-9), p.773-788

2005

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A 'best points' interpolation method for efficient approximation of parametrized functions

International journal for numerical methods in engineering, 2008-01, Vol.73 (4), p.521-543

2008

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A successive constraint linear optimization method for lower bounds of parametric coercivity and inf–sup stability constants

Comptes rendus. Mathématique, 2007-10, Vol.345 (8), p.473-478

2007

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

Computer methods in applied mechanics and engineering, 2010-06, Vol.199 (29), p.1963-1975

2010

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

Journal of fluids engineering, 2002-03, Vol.124 (1), p.70-80

2002

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

International journal for numerical methods in engineering, 2007-12, Vol.72 (10), p.1219-1259

2007

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

Computer methods in applied mechanics and engineering, 2015-04, Vol.287, p.310-334

2015

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High-fidelity real-time simulation on deployed platforms

Computers & fluids, 2011-04, Vol.43 (1), p.74-81

2011

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

Archives of computational methods in engineering, 2018-01, Vol.25 (1), p.23-45

2018

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Inverse identification of thermal parameters using reduced-basis method

Computer methods in applied mechanics and engineering, 2005-07, Vol.194 (27), p.3090-3107

2005

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A static condensation reduced basis element method: Complex problems

Computer methods in applied mechanics and engineering, 2013-06, Vol.259, p.197-216

2013

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

Computer methods in applied mechanics and engineering, 2018-02, Vol.329, p.498-531

2018

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

Journal of computational physics, 1984-06, Vol.54 (3), p.468-488

Patera, Anthony T

1984

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

Computer methods in applied mechanics and engineering, 2001-03, Vol.190 (26), p.3413-3426

2001

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Reduced Basis Techniques for Stochastic Problems

Archives of computational methods in engineering, 2010-12, Vol.17 (4), p.435-454

2010

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A Posteriori Finite-Element Output Bounds for the Incompressible Navier–Stokes Equations: Application to a Natural Convection Problem

Journal of computational physics, 2001-09, Vol.172 (2), p.401-425

2001

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Certified reduced basis model validation: A frequentistic uncertainty framework

Computer methods in applied mechanics and engineering, 2012, Vol.201, p.13-24

2012

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“Natural norm” a posteriori error estimators for reduced basis approximations

Journal of computational physics, 2006-09, Vol.217 (1), p.37-62

2006

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A Two-Step Certified Reduced Basis Method

Journal of scientific computing, 2012-04, Vol.51 (1), p.28-58

2012

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Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method

Inverse problems in science and engineering, 2013-12, Vol.21 (8), p.1310-1334

2013

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

Computer methods in applied mechanics and engineering, 1997-12, Vol.150 (1), p.289-312

1997

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Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations

Optimization and engineering, 2007-03, Vol.8 (1), p.43-65

2007

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

Journal of fluid mechanics, 1986-02, Vol.163, p.99-127

1986

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

Journal of computational physics, 1986-02, Vol.62 (2), p.361-382

1986

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Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations: Application to Transport and Continuum Mechanics

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

A 'best points' interpolation method for efficient approximation of parametrized functions

A successive constraint linear optimization method for lower bounds of parametric coercivity and inf–sup stability constants

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

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

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

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

High-fidelity real-time simulation on deployed platforms

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

Inverse identification of thermal parameters using reduced-basis method

A static condensation reduced basis element method: Complex problems

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

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

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

Reduced Basis Techniques for Stochastic Problems

A Posteriori Finite-Element Output Bounds for the Incompressible Navier–Stokes Equations: Application to a Natural Convection Problem

Certified reduced basis model validation: A frequentistic uncertainty framework

“Natural norm” a posteriori error estimators for reduced basis approximations

A Two-Step Certified Reduced Basis Method

Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method

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

Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations

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

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

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