A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations

Christine Bernardi; Ajmia Younes Orfi

doi:10.1007/s40324-015-0058-5

A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations

SeMA Journal ◽

10.1007/s40324-015-0058-5 ◽

2016 ◽

Vol 73 (2) ◽

pp. 97-119

Author(s):

Christine Bernardi ◽

Ajmia Younes Orfi

Keyword(s):

Error Analysis ◽

Stokes Equations ◽

A Priori ◽

Time Dependent ◽

A Priori Error Analysis

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Stokes equations under nonlinear slip boundary conditions coupled with the heat equation: A priori error analysis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22402 ◽

2019 ◽

Vol 36 (1) ◽

pp. 86-117

Author(s):

Jules K. Djoko ◽

Virginie S. Konlack ◽

Mohamed Mbehou

Keyword(s):

Error Analysis ◽

Boundary Conditions ◽

Heat Equation ◽

Stokes Equations ◽

A Priori ◽

Slip Boundary Conditions ◽

Slip Boundary ◽

A Priori Error Analysis ◽

Nonlinear Slip Boundary Conditions

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Semi-discrete a priori error analysis for the optimal control of the unsteady Navier–Stokes equations with variational multiscale stabilization

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.11.092 ◽

2016 ◽

Vol 276 ◽

pp. 127-142

Author(s):

Fikriye Yılmaz

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Stokes Equations ◽

A Priori ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Variational Multiscale ◽

A Priori Error Analysis

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A priori error analysis of a stabilized finite-element scheme for an elliptic equation with time-dependent boundary conditions

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20210401 ◽

2021 ◽

Vol 24 (4) ◽

pp. 345-363

Author(s):

Jmeih N. Abou ◽

Arwadi T. El ◽

S. Dib

Keyword(s):

Finite Element ◽

Elliptic Equation ◽

Error Analysis ◽

Boundary Conditions ◽

A Priori ◽

Time Dependent ◽

Finite Element Scheme ◽

Element Scheme ◽

Stabilized Finite Element ◽

A Priori Error Analysis

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A Priori Error Analysis for Navier Stokes Equations with Slip Boundary Conditions of Friction Type

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0421-x ◽

2019 ◽

Vol 21 (1) ◽

Author(s):

J. K. Djoko

Keyword(s):

Error Analysis ◽

Boundary Conditions ◽

Stokes Equations ◽

A Priori ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Slip Boundary ◽

A Priori Error Analysis

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Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing

SIAM Journal on Numerical Analysis ◽

10.1137/050637364 ◽

2006 ◽

Vol 44 (5) ◽

pp. 1903-1920 ◽

Cited By ~ 35

Author(s):

Arnd Rösch ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Stokes Equations ◽

A Priori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Priori Error Analysis

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A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations

CSIAM Transactions on Applied Mathematics ◽

10.4208/csiam-am.2020-0005 ◽

2020 ◽

Vol 1 (1) ◽

pp. 104-141

Author(s):

Chen Liu & Béatrice Rivière sci

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

A Priori ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Priori Error Analysis

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A Priori Error Analysis of a Stabilized Finite-Element Scheme for an Elliptic Equation with Time-Dependent Boundary Conditions

Numerical Analysis and Applications ◽

10.1134/s1995423921040017 ◽

2021 ◽

Vol 14 (4) ◽

pp. 297-315

Author(s):

N. Abou Jmeih ◽

T. El Arwadi ◽

S. Dib

Keyword(s):

Finite Element ◽

Elliptic Equation ◽

Error Analysis ◽

Boundary Conditions ◽

A Priori ◽

Time Dependent ◽

Finite Element Scheme ◽

Element Scheme ◽

Stabilized Finite Element ◽

A Priori Error Analysis

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A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law

Advances in Computational Mathematics ◽

10.1007/s10444-021-09857-8 ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Yongseok Jang ◽

Simon Shaw

Keyword(s):

Finite Element ◽

Error Analysis ◽

Fractional Order ◽

A Priori ◽

Finite Element Approximation ◽

Constitutive Law ◽

Element Approximation ◽

Dynamic Viscoelasticity ◽

A Priori Error Analysis

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An improved a priori error analysis of Nitsche’s method for Robin boundary conditions

Numerische Mathematik ◽

10.1007/s00211-017-0927-1 ◽

2017 ◽

Vol 138 (4) ◽

pp. 1011-1026 ◽

Cited By ~ 1

Author(s):

Nora Lüthen ◽

Mika Juntunen ◽

Rolf Stenberg

Keyword(s):

Error Analysis ◽

Boundary Conditions ◽

A Priori ◽

Robin Boundary Conditions ◽

Nitsche’S Method ◽

A Priori Error Analysis ◽

Nitsche's Method ◽

Robin Boundary

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Solving three-dimensional interface problems with immersed finite elements: A-priori error analysis

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110445 ◽

2021 ◽

pp. 110445

Author(s):

Ruchi Guo ◽

Xu Zhang

Keyword(s):

Finite Elements ◽

Error Analysis ◽

A Priori ◽

Three Dimensional ◽

Interface Problems ◽

A Priori Error Analysis ◽

Immersed Finite Elements

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