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A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids
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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
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 44(6) 3683 (2024) https://doi.org/10.1093/imanum/drad094
A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations
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
A coupled model of the fluid flow with nonlinear slip Tresca boundary condition
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
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 fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
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
Versatile mixed methods for non-isothermal incompressible flows
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
A mathematical model for thermography on viscous fluid based on damped thermal flux
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
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
New numerical studies for Darcy’s problem coupled with the heat equation
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
Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium
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
Boussinesq system with non-homogeneous boundary conditions
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
Existence de solutions pour une classe de systèmes non linéaires de Boussinesq
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
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