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:

A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity

Mofdi El-Amrani, Anouar Obbadi, Mohammed Seaid and Driss Yakoubi
Computer Methods in Applied Mechanics and Engineering 429 117103 (2024)
https://doi.org/10.1016/j.cma.2024.117103

Darcy’s problem coupled with the heat equation under singular forcing: analysis and discretization

Alejandro Allendes, Gilberto Campaña, Francisco Fuica and Enrique Otárola
IMA Journal of Numerical Analysis (2024)
https://doi.org/10.1093/imanum/drad094

A finite element model for concentration polarization and osmotic effects in a membrane channel

Nicolás Carro, David Mora and Jesus Vellojin
International Journal for Numerical Methods in Fluids 96 (5) 601 (2024)
https://doi.org/10.1002/fld.5252

A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions

Dania Ati, Rahma Agroum and Jonas Koko
Journal of Mathematical Fluid Mechanics 26 (3) (2024)
https://doi.org/10.1007/s00021-024-00882-3

A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations

Gabriel N. Gatica and Zeinab Gharibi
Journal of Computational and Applied Mathematics 447 115885 (2024)
https://doi.org/10.1016/j.cam.2024.115885

A coupled model of the fluid flow with nonlinear slip Tresca boundary condition

Dania Ati, Rahma Agroum and Jonas Koko
Computers & Mathematics with Applications 153 130 (2024)
https://doi.org/10.1016/j.camwa.2023.11.007

An iterative scheme for solving a coupled Darcy–convection–diffusion model

Mofdi El-Amrani, Loubna Salhi, Mohammed Seaid and Driss Yakoubi
Journal of Mathematical Analysis and Applications 517 (2) 126603 (2023)
https://doi.org/10.1016/j.jmaa.2022.126603

A stabilized finite element method for the Stokes–Temperature coupled problem

Rodolfo Araya, Cristian Cárcamo and Abner H. Poza
Applied Numerical Mathematics 187 24 (2023)
https://doi.org/10.1016/j.apnum.2023.02.002

Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions

C. Bousbiat, Y. Daikh, S. Maarouf and D. Yakoubi
Calcolo 60 (3) (2023)
https://doi.org/10.1007/s10092-023-00530-8

A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form

L. Beirão da Veiga, D. Mora and A. Silgado
Computer Methods in Applied Mechanics and Engineering 408 115947 (2023)
https://doi.org/10.1016/j.cma.2023.115947

Existence and uniqueness for a convective phase change model with temperature–dependent viscosity

Y. Belhamadia, J. Deteix, B. Jaffal-Mourtada and D. Yakoubi
Journal of Mathematical Analysis and Applications 527 (2) 127559 (2023)
https://doi.org/10.1016/j.jmaa.2023.127559

Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation

Alejandro Allendes, Gilberto Campaña and Enrique Otárola
SIAM Journal on Scientific Computing 45 (5) A2755 (2023)
https://doi.org/10.1137/22M1536340

A Discontinuous Galerkin Method for the Stationary Boussinesq System

Eligio Colmenares, Ricardo Oyarzúa and Francisco Piña
Computational Methods in Applied Mathematics 22 (4) 797 (2022)
https://doi.org/10.1515/cmam-2022-0021

An analysis of weak Galerkin finite element method for a steady state Boussinesq problem

Mehdi Dehghan and Zeinab Gharibi
Journal of Computational and Applied Mathematics 406 114029 (2022)
https://doi.org/10.1016/j.cam.2021.114029

An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations

Gabriel N Gatica, Salim Meddahi and Ricardo Ruiz-Baier
IMA Journal of Numerical Analysis 42 (4) 3154 (2022)
https://doi.org/10.1093/imanum/drab063

Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method

Mohammed Hirpho and Chun Gang Zhu
Abstract and Applied Analysis 2022 1 (2022)
https://doi.org/10.1155/2022/5108445

A mathematical model for thermography on viscous fluid based on damped thermal flux

Qasim Ali, Samia Riaz, Aziz Ullah Awan and Kashif Ali Abro
Zeitschrift für Naturforschung A 76 (3) 285 (2021)
https://doi.org/10.1515/zna-2020-0322

The stationary Boussinesq problem under singular forcing

Alejandro Allendes, Enrique Otárola and Abner J. Salgado
Mathematical Models and Methods in Applied Sciences 31 (04) 789 (2021)
https://doi.org/10.1142/S0218202521500196

Finite element methods for the Darcy-Forchheimer problem coupled with the convection-diffusion-reaction problem

Toni Sayah, Georges Semaan and Faouzi Triki
ESAIM: Mathematical Modelling and Numerical Analysis 55 (6) 2643 (2021)
https://doi.org/10.1051/m2an/2021066

An Uzawa iterative method for the natural convection problem based on mixed finite element method

Xianzhu Li and Pengzhan Huang
Mathematical Methods in the Applied Sciences 44 (17) 13326 (2021)
https://doi.org/10.1002/mma.7627

New numerical studies for Darcy’s problem coupled with the heat equation

Dayana Dib, Séréna Dib and Toni Sayah
Computational and Applied Mathematics 39 (1) (2020)
https://doi.org/10.1007/s40314-019-0964-8

A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy

Sergio Caucao, Ricardo Oyarzúa and Segundo Villa-Fuentes
Calcolo 57 (4) (2020)
https://doi.org/10.1007/s10092-020-00385-3

On the Darcy–Brinkman–Boussinesq Flow in a Thin Channel with Irregularities

Eduard Marušić-Paloka, Igor Pažanin and Marko Radulović
Transport in Porous Media 131 (2) 633 (2020)
https://doi.org/10.1007/s11242-019-01360-5

A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

Eligio Colmenares, Gabriel N. Gatica and Sebastián Moraga
ESAIM: Mathematical Modelling and Numerical Analysis 54 (5) 1525 (2020)
https://doi.org/10.1051/m2an/2020007

Full discretization of time dependent convection–diffusion–reaction equation coupled with the Darcy system

Nancy Chalhoub, Pascal Omnes, Toni Sayah and Rebecca El Zahlaniyeh
Calcolo 57 (1) (2020)
https://doi.org/10.1007/s10092-019-0352-1

Stabilized finite element approximations for a generalized Boussinesq problem: A posteriori error analysis

Alejandro Allendes, César Naranjo and Enrique Otárola
Computer Methods in Applied Mechanics and Engineering 361 112703 (2020)
https://doi.org/10.1016/j.cma.2019.112703

Impact of convection and radiation on direct/hybrid heating stability of field assisted sintering

Charles Manière, Flora Borie and Sylvain Marinel
Journal of Manufacturing Processes 56 147 (2020)
https://doi.org/10.1016/j.jmapro.2020.04.075

A Divergence-Conforming DG-Mixed Finite Element Method for the Stationary Boussinesq Problem

Ricardo Oyarzúa and Miguel Serón
Journal of Scientific Computing 85 (1) (2020)
https://doi.org/10.1007/s10915-020-01317-7

A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem

Alejandro Allendes, Gabriel R. Barrenechea and César Naranjo
Computer Methods in Applied Mechanics and Engineering 340 90 (2018)
https://doi.org/10.1016/j.cma.2018.05.020

A Second Order Ensemble Timestepping Algorithm for Natural Convection

J. A. Fiordilino
SIAM Journal on Numerical Analysis 56 (2) 816 (2018)
https://doi.org/10.1137/17M1135104

Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium

Michal Beneš and Igor Pažanin
Continuum Mechanics and Thermodynamics 30 (2) 301 (2018)
https://doi.org/10.1007/s00161-017-0603-9

A mixed–primal finite element method for the Boussinesq problem with temperature-dependent viscosity

Javier A. Almonacid, Gabriel N. Gatica and Ricardo Oyarzúa
Calcolo 55 (3) (2018)
https://doi.org/10.1007/s10092-018-0278-z

Finite element methods for Darcy’s problem coupled with the heat equation

Christine Bernardi, Séréna Dib, Vivette Girault, et al.
Numerische Mathematik 139 (2) 315 (2018)
https://doi.org/10.1007/s00211-017-0938-y

A posteriori error analysis for solving the Navier‐Stokes problem and convection‐diffusion equation

Rahma Agroum
Numerical Methods for Partial Differential Equations 34 (2) 401 (2018)
https://doi.org/10.1002/num.22204

A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model

Eligio Colmenares, Gabriel N. Gatica and Ricardo Oyarzúa
Calcolo 54 (3) 1055 (2017)
https://doi.org/10.1007/s10092-017-0219-2

Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters

Ricardo Oyarzúa and Paulo Zúñiga
Journal of Computational and Applied Mathematics 323 71 (2017)
https://doi.org/10.1016/j.cam.2017.04.009

Heat Conduction Problem in a Dilated Pipe: Existence and Uniqueness Result

Eduard Marušić-Paloka, Igor Pažanin and Marija Prša
Mediterranean Journal of Mathematics 14 (2) (2017)
https://doi.org/10.1007/s00009-017-0898-6

An augmented fully-mixed finite element method for the stationary Boussinesq problem

Eligio Colmenares, Gabriel N. Gatica and Ricardo Oyarzúa
Calcolo 54 (1) 167 (2017)
https://doi.org/10.1007/s10092-016-0182-3

Spectral discretization of Darcy's equations coupled with the heat equation

Christine Bernardi, Sarra Maarouf and Driss Yakoubi
IMA Journal of Numerical Analysis 36 (3) 1193 (2016)
https://doi.org/10.1093/imanum/drv047

Dual-mixed finite element methods for the stationary Boussinesq problem

Eligio Colmenares and Michael Neilan
Computers & Mathematics with Applications 72 (7) 1828 (2016)
https://doi.org/10.1016/j.camwa.2016.08.011

Analysis of an augmented mixed‐primal formulation for the stationary Boussinesq problem

Eligio Colmenares, Gabriel N. Gatica and Ricardo Oyarzúa
Numerical Methods for Partial Differential Equations 32 (2) 445 (2016)
https://doi.org/10.1002/num.22001

Existence of a variational solution for the stationary Boussinesq equations with thermocapillary effect and nonhomogenous boundary conditions

Bernadin Ahounou and Luc Paquet
Afrika Matematika 27 (5-6) 909 (2016)
https://doi.org/10.1007/s13370-015-0386-8

Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem

Eligio Colmenares, Gabriel N. Gatica and Ricardo Oyarzúa
Comptes Rendus. Mathématique 354 (1) 57 (2015)
https://doi.org/10.1016/j.crma.2015.10.004

A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations

J. Deteix, A. Jendoubi and D. Yakoubi
SIAM Journal on Numerical Analysis 52 (5) 2415 (2014)
https://doi.org/10.1137/130942516

Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation

Olivier Guibé, Nicolas Bruyère and Dominique Blanchard
Communications on Pure and Applied Analysis 12 (5) 2213 (2013)
https://doi.org/10.3934/cpaa.2013.12.2213

A PROJECTION-BASED VARIATIONAL MULTISCALE METHOD FOR LARGE-EDDY SIMULATION WITH APPLICATION TO NON-ISOTHERMAL FREE CONVECTION PROBLEMS

JOHANNES LÖWE and GERT LUBE
Mathematical Models and Methods in Applied Sciences 22 (02) (2012)
https://doi.org/10.1142/S0218202511500114

On the effects of curved geometry on heat conduction through a distorted pipe

Eduard Marušić-Paloka and Igor Pažanin
Nonlinear Analysis: Real World Applications 11 (6) 4554 (2010)
https://doi.org/10.1016/j.nonrwa.2008.09.016

On the coupling between a Navier–Stokes equation and a total energy equation in spatial dimensionN=3

A. Attaoui
Journal of Differential Equations 246 (12) 4591 (2009)
https://doi.org/10.1016/j.jde.2008.12.003

Modelling of heat transfer in a laminar flow through a helical pipe

Eduard Marušić-Paloka and Igor Pažanin
Mathematical and Computer Modelling 50 (11-12) 1571 (2009)
https://doi.org/10.1016/j.mcm.2009.09.006

A priori and a posteriori error estimations for the dual mixed finite element method of the Navier‐Stokes problem

M. Farhloul, S. Nicaise and L. Paquet
Numerical Methods for Partial Differential Equations 25 (4) 843 (2009)
https://doi.org/10.1002/num.20377

The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments

Carlos E. Pérez, Jean‐Marie Thomas, Serge Blancher and René Creff
International Journal for Numerical Methods in Fluids 56 (1) 91 (2008)
https://doi.org/10.1002/fld.1572

The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 1: Analysis of the continuous problem

Carlos E. Pérez, Jean‐Marie Thomas, Serge Blancher and René Creff
International Journal for Numerical Methods in Fluids 56 (1) 63 (2008)
https://doi.org/10.1002/fld.1509

Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

Masahisa Tabata and Daisuke Tagami
Numerische Mathematik 100 (2) 351 (2005)
https://doi.org/10.1007/s00211-005-0589-2

On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L 2

M.Santos da Rocha, Marko A. Rojas-Medar and M. Drina Rojas-Medar
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459 (2031) 609 (2003)
https://doi.org/10.1098/rspa.2002.1036

A historical survey of some mathematical aspects of Newtonian fluid flows

RKh Zeytounian
Applied Mechanics Reviews 54 (6) 525 (2001)
https://doi.org/10.1115/1.1416153