Heterogeneous Substructuring Methods for Coupled Surface and Subsurface Flow

[1] Alt H.W., Luckhaus S., Quasilinear elliptic-parabolic differential equations, Math. Z., 183, pp. 311-341, (1983)

[2] Bastian P., Blatt M., Dedner A., Engwer C., Klofkorn R., Kornhuber R., Ohlberger M., Sander O., A generic interface for parallel and adaptive scientific computing. Part II: Implementation and tests in DUNE, Computing, 82, 2-3, pp. 121-138, (2008)

[3] Bastian P., Buse G., Sander O., Infrastructure for the coupling of Dune grids, Proc. of ENUMATH 2009, pp. 107-114, (2010)

[4] Berninger H., Kornhuber R., Sander O., Fast and robust numerical solution of the Richards equation in homogeneous soil, SIAM J. Numer. Anal., (2010)

[5] Brezzi F., Gilardi G., Functional spaces, Finite Element Handbook, pp. 29-75, (1987)

[6] Brooks R.J., Corey A.T., Hydraulic properties of porous media, (1964)

[7] Burdine N.T., Relative permeability calculations from pore-size distribution data, Petr. Trans., Am. Inst. Mining Metall. Eng., 198, pp. 71-77, (1953)

[8] Dawson C., Analysis of discontinuous finite element methods for ground water/ surface water coupling, SIAM J. Numer. Anal., 44, 4, pp. 1375-1404, (2006)

[9] Dawson C., A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow, Comput. Geosci, 12, pp. 451-472, (2008)

[10] Deparis S., Discacciati M., Fourestey G., Quarteroni A., Fluid-structure algorithms based on Steklov-Poincaré operators, Comput. Methods Appl. Mech. Engrg., 195, pp. 5797-5812, (2008)

[1] Alt H.W., Luckhaus S., Quasilinear elliptic-parabolic differential equations, Math. Z., 183, pp. 311-341, (1983)

[2] Bastian P., Blatt M., Dedner A., Engwer C., Klofkorn R., Kornhuber R., Ohlberger M., Sander O., A generic interface for parallel and adaptive scientific computing. Part II: Implementation and tests in DUNE, Computing, 82, 2-3, pp. 121-138, (2008)

[3] Bastian P., Buse G., Sander O., Infrastructure for the coupling of Dune grids, Proc. of ENUMATH 2009, pp. 107-114, (2010)

[4] Berninger H., Kornhuber R., Sander O., Fast and robust numerical solution of the Richards equation in homogeneous soil, SIAM J. Numer. Anal., (2010)

[5] Brezzi F., Gilardi G., Functional spaces, Finite Element Handbook, pp. 29-75, (1987)

[6] Brooks R.J., Corey A.T., Hydraulic properties of porous media, (1964)

[7] Burdine N.T., Relative permeability calculations from pore-size distribution data, Petr. Trans., Am. Inst. Mining Metall. Eng., 198, pp. 71-77, (1953)

[8] Dawson C., Analysis of discontinuous finite element methods for ground water/ surface water coupling, SIAM J. Numer. Anal., 44, 4, pp. 1375-1404, (2006)

[9] Dawson C., A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow, Comput. Geosci, 12, pp. 451-472, (2008)

[10] Deparis S., Discacciati M., Fourestey G., Quarteroni A., Fluid-structure algorithms based on Steklov-Poincaré operators, Comput. Methods Appl. Mech. Engrg., 195, pp. 5797-5812, (2008)