Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach

S. Mohapatra, N. Kishore Kumar and Shivangi Joshi
Mathematical Methods in the Applied Sciences 46 (16) 16463 (2023)
https://doi.org/10.1002/mma.9271

Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies

Alessio Fumagalli and Francesco Saverio Patacchini
ESAIM: Mathematical Modelling and Numerical Analysis 56 (2) 565 (2022)
https://doi.org/10.1051/m2an/2022016

An analysis on the penalty and Nitsche's methods for the Stokes–Darcy system with a curved interface

Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung and Ming-Cheng Shiue
Applied Numerical Mathematics 165 83 (2021)
https://doi.org/10.1016/j.apnum.2021.02.006

Computation of macroscopic permeability of doubly porous media with FFT based numerical homogenization method

Sarra Mezhoud, Vincent Monchiet, Michel Bornert and Daniel Grande
European Journal of Mechanics - B/Fluids 83 141 (2020)
https://doi.org/10.1016/j.euromechflu.2020.04.012

Spectral discretization of the time‐dependent vorticity–velocity–pressure formulation of the Stokes problem

Mohamed Abdelwahed and Nejmeddine Chorfi
Mathematical Methods in the Applied Sciences (2020)
https://doi.org/10.1002/mma.6353

Macroscopic permeability of doubly porous solids with spheroidal macropores: closed-form approximate solutions of the longitudinal permeability

Vincent monchiet
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2244) (2020)
https://doi.org/10.1098/rspa.2020.0224

Mortar Element Method for the Time Dependent Coupling of Stokes and Darcy Flows

Yanping Chen, Xin Zhao and Yunqing Huang
Journal of Scientific Computing 80 (2) 1310 (2019)
https://doi.org/10.1007/s10915-019-00977-4

Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition

Takahito Kashiwabara, Issei Oikawa and Guanyu Zhou
ESAIM: Mathematical Modelling and Numerical Analysis 53 (3) 869 (2019)
https://doi.org/10.1051/m2an/2019008

Vorticity‐pressure formulations for the Brinkman‐Darcy coupled problem

Verónica Anaya, David Mora, Carlos Reales and Ricardo Ruiz‐Baier
Numerical Methods for Partial Differential Equations 35 (2) 528 (2019)
https://doi.org/10.1002/num.22312

Some DG schemes for the Stokes–Darcy problem using P1/P1 element

Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung and Ming-Cheng Shiue
Japan Journal of Industrial and Applied Mathematics 36 (3) 1101 (2019)
https://doi.org/10.1007/s13160-019-00377-z

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

Christine Bernardi and Ajmia Younes Orfi
Computers & Mathematics with Applications 76 (2) 340 (2018)
https://doi.org/10.1016/j.camwa.2018.04.021

A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow

Guosheng Fu and Christoph Lehrenfeld
Journal of Scientific Computing 77 (3) 1605 (2018)
https://doi.org/10.1007/s10915-018-0691-0

Spectral discretization of Darcy equations coupled with Stokes equations by vorticity-velocity-pressure formulations

Yassine Mabrouki, Saloua Mani Aouadi and Jamil Satouri
Numerical Methods for Partial Differential Equations 33 (5) 1628 (2017)
https://doi.org/10.1002/num.22157

Analysis of the HDG method for the stokes–darcy coupling

Gabriel N. Gatica and Filánder A. Sequeira
Numerical Methods for Partial Differential Equations 33 (3) 885 (2017)
https://doi.org/10.1002/num.22128

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

Christine Bernardi and Ajmia Younes Orfi
SeMA Journal 73 (2) 97 (2016)
https://doi.org/10.1007/s40324-015-0058-5

A vorticity-based fully-mixed formulation for the 3D Brinkman–Darcy problem

Mario Alvarez, Gabriel N. Gatica and Ricardo Ruiz-Baier
Computer Methods in Applied Mechanics and Engineering 307 68 (2016)
https://doi.org/10.1016/j.cma.2016.04.017

A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media

Sebastián Domínguez, Gabriel N. Gatica, Antonio Márquez and Salim Meddahi
Advances in Computational Mathematics 42 (3) 675 (2016)
https://doi.org/10.1007/s10444-015-9439-7

New fully-mixed finite element methods for the Stokes–Darcy coupling

Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier and Pablo Venegas
Computer Methods in Applied Mechanics and Engineering 295 362 (2015)
https://doi.org/10.1016/j.cma.2015.07.007

Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems

Yanzhao Cao, Max Gunzburger, Xiaoming He and Xiaoming Wang
Mathematics of Computation 83 (288) 1617 (2014)
https://doi.org/10.1090/S0025-5718-2014-02779-8

Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media

Gabriel N. Gatica, Antonio Márquez, Ricardo Oyarzúa and Ramiro Rebolledo
Computer Methods in Applied Mechanics and Engineering 270 76 (2014)
https://doi.org/10.1016/j.cma.2013.11.017

Non-iterative domain decomposition methods for a non-stationary Stokes–Darcy model with Beavers–Joseph interface condition

Wenqiang Feng, Xiaoming He, Zhu Wang and Xu Zhang
Applied Mathematics and Computation 219 (2) 453 (2012)
https://doi.org/10.1016/j.amc.2012.05.012

Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem

Gabriel N. Gatica, Ricardo Oyarzúa and Francisco-Javier Sayas
Numerical Methods for Partial Differential Equations 27 (3) 721 (2011)
https://doi.org/10.1002/num.20548

Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface condition

Yanzhao Cao, Max Gunzburger, Xiaoming He and Xiaoming Wang
Numerische Mathematik 117 (4) 601 (2011)
https://doi.org/10.1007/s00211-011-0361-8

Spectral Discretization of the Axisymmetric Vorticity, Velocity and Pressure Formulation of the Stokes Problem

Nehla Abdellatif, Nejmeddine Chorfi and Sihem Trabelsi
Journal of Scientific Computing 47 (3) 419 (2011)
https://doi.org/10.1007/s10915-010-9446-2

Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem

Gabriel Gatica, Ricardo Oyarzúa and Francisco-Javier Sayas
Mathematics of Computation 80 (276) 1911 (2011)
https://doi.org/10.1090/S0025-5718-2011-02466-X

A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System

Wenbin Chen, Max Gunzburger, Fei Hua and Xiaoming Wang
SIAM Journal on Numerical Analysis 49 (3) 1064 (2011)
https://doi.org/10.1137/080740556

A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem

Gabriel N. Gatica, Ricardo Oyarzúa and Francisco-Javier Sayas
Computer Methods in Applied Mechanics and Engineering 200 (21-22) 1877 (2011)
https://doi.org/10.1016/j.cma.2011.02.009

A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem

Ivo Babuška and Gabriel N. Gatica
SIAM Journal on Numerical Analysis 48 (2) 498 (2010)
https://doi.org/10.1137/080727646

Coupling of Darcy–Forchheimer and Compressible Navier–Stokes Equations with Heat Transfer

M. Amara, D. Capatina and L. Lizaik
SIAM Journal on Scientific Computing 31 (2) 1470 (2009)
https://doi.org/10.1137/070709517

Mortar finite element discretization of a model coupling Darcy and Stokes equations

Christine Bernardi, Tomás Chacón Rebollo, Frédéric Hecht and Zoubida Mghazli
ESAIM: Mathematical Modelling and Numerical Analysis 42 (3) 375 (2008)
https://doi.org/10.1051/m2an:2008009

Spectral Discretization of the Vorticity, Velocity, and Pressure Formulation of the Stokes Problem

Christine Bernardi and Nejmeddine Chorfi
SIAM Journal on Numerical Analysis 44 (2) 826 (2006)
https://doi.org/10.1137/050622687