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 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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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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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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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 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 ◽

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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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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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 ◽

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 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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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 analysis for Navier–Stokes equations coupled with Darcy problem

CALCOLO ◽

10.1007/s10092-014-0130-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 559-576 ◽

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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