Mathematical and numerical models for coupling surface and groundwater flows
Tài liệu tham khảo
Bear, 1979
Beavers, 1967, Boundary conditions at a naturally permeable wall, J. Fluid Mech., 30, 197, 10.1017/S0022112067001375
Brezzi, 1974, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers, RAIRO Anal. Numér., 8, 129
E. Campana, A. Iafrati, A domain decomposition approach for unsteady free surface flows, Preprint
M. Discacciati, Modelli di accoppiamento fra le equazioni di Stokes e quelle di Darcy per lo studio di problemi di idrodinamica, Degree thesis, Università degli Studi dell'Insubria, Como, Italy, 2001 (in Italian)
M. Discacciati, A. Quarteroni, Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations, submitted CEPFL Institut de Mathématiques, Internal Report N. 02. 2002, 2002
Fontana, 1999, A finite element method for 3D hydrostatic water flows, Comput. Vis. Sci., 2, 85, 10.1007/s007910050031
Jäger, 1996, On the boundary conditions at the contact interface between a porous medium and a free fluid, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 23, 403
Jäger, 2000, On the interface boundary condition of Beavers, Joseph and Saffman, SIAM J. Appl. Math., 60, 1111, 10.1137/S003613999833678X
Jones, 1973, Low Reynolds number flow past a porous spherical shell, Proc. Camb. Philos. Soc., 73, 231, 10.1017/S0305004100047642
Lions, 1968
E. Miglio, Mathematical and numerical modelling for enviromental applications, Ph.D. Thesis, Università degli Studi di Milano, Politecnico di Milano, Milan, Italy, 2000
E. Miglio, A. Quarteroni, F. Saleri, Coupling of free surface and groundwater flows, Comput. Fluids, accepted
Miglio, 1999, Finite element approximation of quasi-3D shallow water equations, Comput. Methods Appl. Mech. Engrg., 174, 355, 10.1016/S0045-7825(98)00304-1
Nield, 1999
Payne, 1998, Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions, J. Math. Pures Appl. (9), 77, 317, 10.1016/S0021-7824(98)80102-5
Quarteroni, 1999
Quarteroni, 1994
Wood, 1993