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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
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
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
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
Error studies of the Coupling Darcy-Stokes System with velocity-pressure formulation
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
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