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

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

doi:10.1007/s10092-009-0005-x

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

CALCOLO ◽

10.1007/s10092-009-0005-x ◽

2009 ◽

Vol 46 (3) ◽

pp. 157-185 ◽

Cited By ~ 71

Author(s):

Ngoc-Cuong Nguyen ◽

Gianluigi Rozza ◽

Anthony T. Patera

Keyword(s):

Error Estimation ◽

Burgers Equation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Time Dependent ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

A Posteriori Error

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Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

Archives of Computational Methods in Engineering ◽

10.1007/s11831-008-9019-9 ◽

2008 ◽

Vol 15 (3) ◽

pp. 229-275 ◽

Cited By ~ 501

Author(s):

G. Rozza ◽

D. B. P. Huynh ◽

A. T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

Partial Differential ◽

A Posteriori Error

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

Archives of Computational Methods in Engineering ◽

10.1007/bf03024948 ◽

2007 ◽

Vol 15 (3) ◽

pp. 1-47 ◽

Cited By ~ 77

Author(s):

G. Rozza ◽

D. B. P. Huynh ◽

A. T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

Partial Differential ◽

A Posteriori Error

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

10.21236/ada563403 ◽

2010 ◽

Author(s):

Jan S. Hesthaven ◽

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

A Posteriori Error ◽

Parametrized Partial Differential Equations

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

Large-Scale Inverse Problems and Quantification of Uncertainty ◽

10.1002/9780470685853.ch8 ◽

2010 ◽

pp. 151-177 ◽

Cited By ~ 12

Author(s):

N. C. Nguyen ◽

G. Rozza ◽

D. B. P. Huynh ◽

A. T. Patera

Keyword(s):

Parameter Estimation ◽

Real Time ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

Parabolic Pdes ◽

A Posteriori Error

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Maximum Norm a Posteriori Error Estimation For a Time-dependent Reaction-diffusion Problem

Computational Methods in Applied Mathematics ◽

10.2478/cmam-2012-0013 ◽

2012 ◽

Vol 12 (2) ◽

Cited By ~ 4

Author(s):

Natalia Kopteva ◽

Torsten Linß

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

A Posteriori Error Estimation ◽

Time Dependent ◽

Maximum Norm ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Numerische Mathematik ◽

10.1007/s00211-013-0534-8 ◽

2013 ◽

Vol 125 (1) ◽

pp. 115-152 ◽

Cited By ~ 58

Author(s):

Gianluigi Rozza ◽

D. B. Phuong Huynh ◽

Andrea Manzoni

Keyword(s):

Error Estimation ◽

Stability Constants ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

Stokes Flows ◽

A Posteriori Error

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Accelerated A Posteriori Error Estimation for the Reduced Basis Method with Application to 3D Electromagnetic Scattering Problems

SIAM Journal on Scientific Computing ◽

10.1137/090760271 ◽

2010 ◽

Vol 32 (2) ◽

pp. 498-520 ◽

Cited By ~ 20

Author(s):

Jan Pomplun ◽

Frank Schmidt

Keyword(s):

Error Estimation ◽

Electromagnetic Scattering ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

Scattering Problems ◽

A Posteriori Error ◽

Basis Method

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Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system

Advances in Computational Mathematics ◽

10.1007/s10444-014-9396-6 ◽

2014 ◽

Vol 41 (5) ◽

pp. 1131-1157 ◽

Cited By ~ 20

Author(s):

Immanuel Martini ◽

Gianluigi Rozza ◽

Bernard Haasdonk

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

A Posteriori Error

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A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.08.031 ◽

2007 ◽

Vol 227 (2) ◽

pp. 983-1006 ◽

Cited By ~ 20

Author(s):

N.C. Nguyen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimation ◽

Posteriori Error ◽

Elliptic Partial Differential Equations ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

A Posteriori Error

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

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.02.008 ◽

2007 ◽

Vol 196 (29-30) ◽

pp. 2925-2942 ◽

Cited By ~ 17

Author(s):

Anthony T. Patera ◽

Einar M. Rønquist

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Reduced Basis ◽

A Posteriori Error ◽

Boltzmann Model

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