References
- [1] B. Andreianov, F. Boyer, and F. Hubert. Discrete duality finite volume schemes for leray-lions-type elliptic problems on general 2d meshes. 23(1):145–195.
- [2] Y. Boubendir and S. Tlupova. Stokesdarcy boundary integral solutions using preconditioners. 228(23):8627–8641.
- [3] F. Boyer, F. Hubert, and S. Krell. Non-overlapping schwarz algorithm for solving 2d m-DDFV schemes. 30(4):Pp 1062–1100.
- [4] M. Cai, M. Mu, and J. Xu. Preconditioning techniques for a mixed stokes/darcy model in porous media applications. 233(2):346–355.
- [5] C. Cancs, C. Chainais-Hillairet, and S. Krell. Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. 18(3):407–432.
- [6] P. Chidyagwai and B. Rivire. On the solution of the coupled navierstokes and darcy equations. 198(47):3806–3820.
- [7] M. Correa and A. Loula. A unified mixed formulation naturally coupling stokes and darcy flows. 198(33):2710–2722.
- [8] S. Delcourte, K. Domelevo, and P. Omnes. A discrete duality finite volume approach to hodge decomposition and divcurl problems on almost arbitrary twodimensional meshes. 45(3):1142–1174.
- [9] M. Discacciati. Domain decomposition methods for the coupling of surface and groundwater flows.
- [10] M. Discacciati, E. Miglio, and A. Quarteroni. Mathematical and numerical models for coupling surface and groundwater flows. 43(1):57–74.
- [11] K. Domelevo and P. Omnes. A finite volume method for the laplace equation on almost arbitrary twodimensional grids. 39(6):1203–1249.
- [12] G. Du, Y. Hou, and L. Zuo. A modified local and parallel finite element method for the mixed stokesdarcy model. 435(2):1129–1145.
- [13] M. Gander, L. Halpern, F. Hubert, and S. Krell. Optimized schwarz methods for anisotropic diffusion with discrete duality finite volume discretizations. page 34.
- [14] M. Hellou, J. Martinez, and M. El Yazidi. Stokes flow through microstructural model of fibrous media. 31(1):97–103.
- [15] F. Hermeline. A finite volume method for the approximation of diffusion operators on distorted meshes. 160(2):481–499.
- [16] A. R. A. Khaled and K. Vafai. The role of porous media in modeling flow and heat transfer in biological tissues. 46(26):4989–5003.
- [17] J. M. V. A. Koelman and M. Nepveu. Darcy flow in porous media: Cellular automata simulations. In Numerical Methods for the Simulation of Multi-Phase and Complex Flow, number 398 in Lecture Notes in Physics, pages 136–145. Springer Berlin Heidelberg.
- [18] S. Krell. Stabilized DDFV schemes for stokes problem with variable viscosity on general 2d meshes. 27(6):1666–1706.
- [19] W. J. Layton, F. Schieweck, and I. Yotov. Coupling fluid flow with porous media flow. 40(6):2195–2218.
- [20] P. Omnes. Dveloppement et analyse de mthodes de volumes finis.
- [21] H. Rui and R. Zhang. A unified stabilized mixed finite element method for coupling stokes and darcy flows. 198(33):2692–2699.
- [22] J. Urquiza, D. N’Dri, A. Garon, and M. Delfour. Coupling stokes and darcy equations. 58(5):525–538.