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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 Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations
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
On the thermal flow through a porous annular region
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 fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
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
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 Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method
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
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
Impact of convection and radiation on direct/hybrid heating stability of field assisted sintering
A fully-mixed finite element method for the steady state Oberbeck–Boussinesq system
Eligio Colmenares, Gabriel N. Gatica, Sebastián Moraga and Ricardo Ruiz-Baier The SMAI Journal of computational mathematics 6 125 (2020) https://doi.org/10.5802/smai-jcm.64
Full discretization of time dependent convection–diffusion–reaction equation coupled with the Darcy system
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 posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model
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
Dual-mixed finite element methods for the stationary Boussinesq problem
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
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
Existence de solutions pour une classe de systèmes non linéaires de Boussinesq
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