A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
ESAIM: M2AN, 54 5 (2020) 1689-1723
Published online: 2020-07-28
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:
This article has been cited by the following article(s):
Mixed formulation in 3D for a nonlinear eddy current problem from applied superconductivity
Montasser Hichmani, Marc Laforest and El Miloud ZaouiDiscrete and Continuous Dynamical Systems 46 287 (2026)
https://doi.org/10.3934/dcds.2025100
Flow and topological structures of viscoelastic fluids across a partially blocked porous medium in a confined channel
Limei Cao, Yufan Zhang, Liteng Yang, Bo Guo and Xinhui SiPhysics of Fluids 38 (1) (2026)
https://doi.org/10.1063/5.0314293
A finite element approximation for the simulation of the flow impacted by metachronal coordination between beating cilia
Yiying Wang, Yongkui Zou and Shimin ChaiComputational and Applied Mathematics 44 (4) (2025)
https://doi.org/10.1007/s40314-025-03121-1
A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman–Forchheimer problem
Sergio Caucao, Gabriel N. Gatica and Luis F. GaticaApplied Numerical Mathematics 211 158 (2025)
https://doi.org/10.1016/j.apnum.2025.01.007
New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Nonlinear Transport Equations
Alonso J. Bustos, Sergio Caucao, Gabriel N. Gatica and Benjamín N. VenegasJournal of Scientific Computing 104 (2) (2025)
https://doi.org/10.1007/s10915-025-02958-2
A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
Arbaz Khan, Bishnu P Lamichhane, Ricardo Ruiz-Baier and Segundo Villa-FuentesIMA Journal of Numerical Analysis (2025)
https://doi.org/10.1093/imanum/draf101
Finite Element Discretizations of a Convective Brinkman–Forchheimer Model Under Singular Forcing
Alejandro Allendes, Gilberto Campaña and Enrique OtárolaJournal of Scientific Computing 99 (2) (2024)
https://doi.org/10.1007/s10915-024-02513-5
A vorticity-based mixed formulation for the unsteady Brinkman–Forchheimer equations
Verónica Anaya, Ruben Caraballo, Sergio Caucao, Luis F. Gatica, Ricardo Ruiz-Baier and Ivan YotovComputer Methods in Applied Mechanics and Engineering 404 115829 (2023)
https://doi.org/10.1016/j.cma.2022.115829
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem
Sergio Caucao and Marco DiscacciatiApplied Numerical Mathematics 190 138 (2023)
https://doi.org/10.1016/j.apnum.2023.04.014
Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier–Stokes–Brinkman Equations
Gabriel N. Gatica, Nicolás Núñez and Ricardo Ruiz-BaierJournal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02202-9
A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium
Sergio Caucao, Gabriel N. Gatica and Juan P. OrtegaComputational Geosciences 27 (2) 289 (2023)
https://doi.org/10.1007/s10596-023-10195-5
Saddle points and Lagrange multipliers in Banach spaces
Ulisse Stefanelli and Augusto VisintinDiscrete and Continuous Dynamical Systems - S (2023)
https://doi.org/10.3934/dcdss.2023179
A hybridizable discontinuous Galerkin method for the coupled Navier–Stokes and Darcy problem
Aycil Cesmelioglu and Sander RhebergenJournal of Computational and Applied Mathematics 422 114923 (2023)
https://doi.org/10.1016/j.cam.2022.114923
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem
Gonzalo A. Benavides, Sergio Caucao, Gabriel N. Gatica and Alejandro A. HopperCalcolo 59 (1) (2022)
https://doi.org/10.1007/s10092-021-00451-4
A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa and Paulo ZúñigaJournal of Scientific Computing 93 (2) (2022)
https://doi.org/10.1007/s10915-022-02010-7
A three-field Banach spaces-based mixed formulation for the unsteady Brinkman–Forchheimer equations
Sergio Caucao, Ricardo Oyarzúa, Segundo Villa-Fuentes and Ivan YotovComputer Methods in Applied Mechanics and Engineering 394 114895 (2022)
https://doi.org/10.1016/j.cma.2022.114895
Further developments on boundary-field equation methods for nonlinear transmission problems
Gabriel N. Gatica, George C. Hsiao and Salim MeddahiJournal of Mathematical Analysis and Applications 502 (2) 125262 (2021)
https://doi.org/10.1016/j.jmaa.2021.125262
A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
Sergio Caucao, Gabriel N. Gatica and Felipe SandovalNumerical Methods for Partial Differential Equations 37 (3) 2550 (2021)
https://doi.org/10.1002/num.22745
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
Sergio Caucao, Gabriel N. Gatica and Juan P. OrtegaESAIM: Mathematical Modelling and Numerical Analysis 55 (6) 2725 (2021)
https://doi.org/10.1051/m2an/2021072
Residual-baseda posteriorierror analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa and Felipe SandovalESAIM: Mathematical Modelling and Numerical Analysis 55 (2) 659 (2021)
https://doi.org/10.1051/m2an/2021005