A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier--Stokes Equations

Alejandro Allendes; Francisco Fuica; Enrique Otarola; Daniel Quero

doi:10.1137/20m1329792

A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier--Stokes Equations

SIAM Journal on Control and Optimization ◽

10.1137/20m1329792 ◽

2021 ◽

Vol 59 (4) ◽

pp. 2898-2923

Author(s):

Alejandro Allendes ◽

Francisco Fuica ◽

Enrique Otarola ◽

Daniel Quero

Keyword(s):

Optimal Control ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Distributed Optimal Control ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Stationary Navier Stokes Equations

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A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures

SIAM Journal on Scientific Computing ◽

10.1137/19m1292436 ◽

2020 ◽

Vol 42 (3) ◽

pp. A1860-A1884

Author(s):

Alejandro Allendes ◽

Enrique Otárola ◽

Abner J. Salgado

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Stationary Navier Stokes Equations ◽

Dirac Measures

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A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22850 ◽

2021 ◽

Author(s):

Ghina Nassreddine ◽

Pascal Omnes ◽

Toni Sayah

Keyword(s):

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Eddy Simulation ◽

Large Eddy ◽

Stationary Navier Stokes Equations

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A posteriori error estimates of finite element method for the time-dependent Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.005 ◽

2017 ◽

Vol 315 ◽

pp. 13-26 ◽

Cited By ~ 1

Author(s):

Tong Zhang ◽

ShiShun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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Accuracy Analysis Based on a Posteriori Error Estimates of SemiGLS Stabilization of FEM for Solving Navier-Stokes Equations

Computational Fluid Dynamics 2008 ◽

10.1007/978-3-642-01273-0_39 ◽

2009 ◽

pp. 315-320

Author(s):

Pavel Burda ◽

Jaroslav Novotný ◽

Jakub Šístek

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

Accuracy Analysis ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/080732080 ◽

2010 ◽

Vol 48 (4) ◽

pp. 1579-1600 ◽

Cited By ~ 4

Author(s):

Xiaoyuan Yang ◽

Yuanyuan Duan ◽

Yuhua Guo

Keyword(s):

Finite Element ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Finite Element Approximation ◽

Posteriori Error ◽

Navier Stokes ◽

Element Approximation ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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Application of a posteriori error estimates for Navier-Stokes equations to fluid flow in a channel with corners

PAMM ◽

10.1002/pamm.200310141 ◽

2003 ◽

Vol 2 (1) ◽

pp. 314-315 ◽

Cited By ~ 1

Author(s):

P. Burda ◽

J. Novotný ◽

B. Sousedík

Keyword(s):

Fluid Flow ◽

Error Estimates ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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Residual a posteriori error estimates for two-level finite element methods for the Navier–Stokes equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(00)00058-1 ◽

2001 ◽

Vol 37 (4) ◽

pp. 503-518 ◽

Cited By ~ 18

Author(s):

Volker John

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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A posteriori error estimates in a finite element VMS-based reduced order model for the incompressible Navier-Stokes equations

Mechanics Research Communications ◽

10.1016/j.mechrescom.2020.103599 ◽

2020 ◽

pp. 103599

Author(s):

Ramon Codina ◽

Ricardo Reyes ◽

Joan Baiges

Keyword(s):

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Reduced Order Model ◽

Navier Stokes ◽

A Posteriori ◽

Order Model ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Reduced Order

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A nonlinear galerkin mixed element method and a posteriori error estimator for the stationary navier-stokes equations

Applied Mathematics and Mechanics ◽

10.1007/bf02437668 ◽

2002 ◽

Vol 23 (10) ◽

pp. 1194-1206 ◽

Cited By ~ 4

Author(s):

Luo Zhen-dong ◽

Zhu Jiang

Keyword(s):

Stokes Equations ◽

Posteriori Error ◽

Navier Stokes ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Navier Stokes Equations ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Stationary Navier Stokes Equations

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A posteriori error analysis for Navier–Stokes equations coupled with Darcy problem

CALCOLO ◽

10.1007/s10092-014-0130-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 559-576 ◽

Cited By ~ 3

Author(s):

M. L. Hadji ◽

A. Assala ◽

F. Z. Nouri

Keyword(s):

Error Analysis ◽

Stokes Equations ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Darcy Problem ◽

Posteriori Error Analysis

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