A posteriori error estimation and error control for finite element approximations of the time-dependent Navier–Stokes equations

Finite Elements in Analysis and Design ◽

10.1016/s0168-874x(99)00048-7 ◽

1999 ◽

Vol 33 (4) ◽

pp. 247-262 ◽

Author(s):

S. Prudhomme ◽

J.T. Oden

Keyword(s):

Error Control ◽

Stokes Equations ◽

Posteriori Error ◽

Time Dependent ◽

Navier Stokes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Finite Element Approximations

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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 ◽

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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A posteriori error estimations for mixed finite element approximations to the Navier–Stokes equations based on Newton-type linearization

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112429 ◽

2020 ◽

Vol 367 ◽

pp. 112429 ◽

Author(s):

Francisco Durango ◽

Julia Novo

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Error Estimations

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A posteriori error estimation for the fractional step theta discretization of the incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.031 ◽

2015 ◽

Vol 288 ◽

pp. 45-59 ◽

Author(s):

Dominik Meidner ◽

Thomas Richter

Keyword(s):

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Navier Stokes ◽

Fractional Step ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error

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A posteriori error estimation for the steady Navier–Stokes equations in random domains

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.10.008 ◽

2017 ◽

Vol 313 ◽

pp. 483-511 ◽

Author(s):

Diane Guignard ◽

Fabio Nobile ◽

Marco Picasso

Keyword(s):

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Navier Stokes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

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AN A POSTERIORI ERROR ESTIMATE FOR MIXED FINITE ELEMENT APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2011.48.3.529 ◽

2011 ◽

Vol 48 (3) ◽

pp. 529-550 ◽

Author(s):

Abdeslam Elakkad ◽

Ahmed Elkhalfi ◽

Najib Guessous

Keyword(s):

Stokes Equations ◽

Mixed Finite Element ◽

Posteriori Error ◽

A Posteriori Error Estimate ◽

Navier Stokes ◽

Posteriori Error Estimate ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Finite Element Approximations

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Variational multiscale a posteriori error estimation for systems: The Euler and Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.10.032 ◽

2015 ◽

Vol 283 ◽

pp. 1493-1524 ◽

Author(s):

Guillermo Hauke ◽

Daniel Fuster ◽

Fernando Lizarraga

Keyword(s):

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Navier Stokes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Variational Multiscale

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A posteriori error estimation and adaptivity based on VMS for the incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113508 ◽

2021 ◽

Vol 373 ◽

pp. 113508

Author(s):

Diego Irisarri ◽

Guillermo Hauke

Keyword(s):

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Navier Stokes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error

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A posteriori error estimations for mixed finite-element approximations to the Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.07.033 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1103-1122 ◽

Author(s):

Javier de Frutos ◽

Bosco García-Archilla ◽

Julia Novo

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Error Estimations

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A posteriori error estimation of steady-state finite element solutions of the Navier—Stokes equations by a subdomain residual method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)80102-3 ◽

1998 ◽

Vol 159 (1-2) ◽

pp. 19-48 ◽

Author(s):

H. Jin ◽

S. Prudhomme

Keyword(s):

Finite Element ◽

Steady State ◽

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error

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An a posteriori error estimate for finite element approximations of the Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(94)90045-0 ◽

1994 ◽

Vol 111 (1-2) ◽

pp. 185-202 ◽

Author(s):

J. Tinsley Oden ◽

Weihan Wu ◽

Mark Ainsworth

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimate ◽

Navier Stokes ◽

Posteriori Error Estimate ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Finite Element Approximations

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