RESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING FINITE ELEMENT DISCRETIZATION OF THE NAVIER-STOKES/DARCY COUPLED PROBLEM

Journal of Pure and Applied Mathematics Advances and Applications ◽

10.18642/jpamaa_7100121867 ◽

2017 ◽

Vol 18 (1) ◽

pp. 37-73 ◽

Author(s):

Koffi Wilfrid Houedanou ◽

Jamal Adetola ◽

Bernardin Ahounou

Keyword(s):

Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error ◽

Coupled Problem ◽

Conforming Finite Element

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RESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING FINITE ELEMENT DISCRETIZATION OF THE STOKES-DARCY COUPLED PROBLEM

Journal of Pure and Applied Mathematics Advances and Applications ◽

10.18642/jpamaa_7100122087 ◽

2019 ◽

Vol 21 (2) ◽

pp. 69-109

Author(s):

Houedanou Koffi Wilfrid ◽

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error ◽

Coupled Problem ◽

Conforming Finite Element

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Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Afrika Matematika ◽

10.1007/s13370-015-0370-3 ◽

2015 ◽

Vol 27 (3-4) ◽

pp. 701-729 ◽

Author(s):

Serge Nicaise ◽

Bernardin Ahounou ◽

Wilfrid Houedanou

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error ◽

Coupled Problem

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A posteriori error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem

Journal of Numerical Mathematics ◽

10.1515/jnum.2007.007 ◽

2007 ◽

Vol 15 (2) ◽

Author(s):

S. Nicaise ◽

N. Soualem

Keyword(s):

Finite Element ◽

Stokes Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error

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A posteriori error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem, II: Analysis of the spatial estimator

Journal of Numerical Mathematics ◽

10.1515/jnma.2007.010 ◽

2007 ◽

Vol 15 (3) ◽

Author(s):

S. Nicaise ◽

N. Soualem

Keyword(s):

Finite Element ◽

Stokes Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error

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A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints

Computational Optimization and Applications ◽

10.1007/s10589-008-9209-2 ◽

2008 ◽

Vol 47 (1) ◽

pp. 133-159 ◽

Author(s):

W. Wollner

Keyword(s):

Finite Element ◽

Optimization Problem ◽

State Constraints ◽

Interior Point Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error

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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 for finite element discretization of parameter identification problems

Numerische Mathematik ◽

10.1007/s00211-003-0482-9 ◽

2004 ◽

Vol 96 (3) ◽

pp. 435-459 ◽

Author(s):

Boris Vexler ◽

Roland Becker

Keyword(s):

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Identification Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error ◽

Parameter Identification Problems

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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 estimates of stabilized finite element method for the steady Navier–Stokes problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.03.063 ◽

2013 ◽

Vol 219 (17) ◽

pp. 9081-9092 ◽

Author(s):

Tong Zhang ◽

Xin Zhao ◽

Gang Lei

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

A Posteriori Error ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method

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