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907 lines
25 KiB
BibTeX
907 lines
25 KiB
BibTeX
@book{ANDERSON-CFD-95,
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author = {J. D. Anderson},
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title = {Computational Fluid Mechanics},
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publisher = {McGraw-Hill},
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year = {1995},
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edition = {1},
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subtitle = {The Basics with Applications}
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}
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@book{BRONSTEIN-93,
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author = {I.N. Bronstein and K.A. Semendjajew and G. Musiol and H. M\"{u}hlig},
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title = {Taschenbuch der Mathematik},
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publisher = {Verlag Harri Deutsch},
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year = {1993},
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edition = {6},
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}
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@book{PRANTL-02,
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author = {L. Prantl and H. Oertel},
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title = {F\"{u}hrer durch die Str\"{o}mungslehre},
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publisher = {Vieweg},
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year = {2002},
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edition = {11},
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}
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@book{SAENDIG-05,
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author = {A.-M. S{\"{a}}ndig},
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key={Sae05},
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title = {Mathematische Methoden in der Kontinuumsmechanik},
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publisher = {Institut f\"{u}r Angewandte Analysis und Numerische Simulation},
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year = {2005},
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edition = {1},
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}
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@book{ARFKEN2005,
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author = {G. B. Arfken and H. J. Weber},
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title = {Mathematical Methods for Physicists},
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publisher = {Academic Press},
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year = {2005},
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edition = {6},
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}
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@misc{DUNE-HP,
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key = {DUNE},
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title = {The {DUNE} Project: \url{http://www.dune-project.org/}},
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}
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@misc{UG-HP,
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key = {UG},
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title = {The {UG} Homepage: \url{http://sit.iwr.uni-heidelberg.de/~ug/}},
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}
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@misc{ALBERTA-HP,
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key = {ALBERTA},
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title = {The {ALBERTA} Website: \url{http://www.alberta-fem.de/}},
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}
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@misc{ALUGRID-HP,
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key = {ALU},
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title = {The {ALU}-{G}rid Website: \url{http://www.mathematik.uni-freiburg.de/IAM/Research/alugrid/}},
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}
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@phdthesis{CLASS2001,
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author = {H. Class},
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title = {Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten por\"{o}sen Medien.},
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school = {University of Stuttgart},
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year = 2001,
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}
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@phdthesis{SHETA1999,
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author = {H. Sheta},
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title = {Simulation von Mehrphasenvorg\"{a}engen in por\"{o}sen Medien unter Einbeziehung von Hystereseeffekten},
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school = {University of Stuttgart},
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year = 1999,
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}
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@phdthesis{HUBER2000,
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author = {R. U. Huber},
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title = {Compositional Multiphase Flow and Transport in Heterogeneous Porous Media},
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school = {University of Stuttgart},
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year = 2000,
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}
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@phdthesis{PAPAFOTIOU2008,
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author = {A. Papafotiou},
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title = {Numerical investigations of the role of hysteresis in heterogeneous two-phase flow systems},
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school = {University of Stuttgart},
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year = 2008,
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}
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@book{HELMIG1997,
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author = {R. Helmig},
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title = {Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems},
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publisher = {Springer},
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year = 1997,
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edition = {1},
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}
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@book{BASTIAN1999,
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author = {P. Bastian},
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title = {Numerical Computation of Multiphase Flows in Porous Media},
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publisher = {Habilitationsschrift, University of Kiel},
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year = 1999,
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edition = {1},
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}
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@article{MUALEM1976,
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author = {Y. Mualem},
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title = {A new model for predicting the hydraulic conductivity of unsaturated porous media},
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journal = {Water Resources Research},
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year = 1976,
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volume = {12},
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number = 3,
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pages = {513--522},
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}
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@article{WHITAKER1985,
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author = {S. Whitaker},
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title = {Flow in porous media I: A theoretical derivation of Darcy's law},
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journal = {Transport in Porous Media},
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year = {1985},
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volume = {1},
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number = {1},
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pages = {3--25},
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}
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@article{MUCCINO1998,
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author = {J. C. Muccino and W. G. G. Gray and L. A. Ferrand},
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title = {Toward an Improved Understanding of Multiphase Flow in Porous Media},
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journal = {Reviews of Geophysics},
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year = {1998},
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volume = {36},
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number = {3},
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pages = {401--422},
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}
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@misc{DARCY1856,
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key = {Dar1856},
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author = {H. Darcy},
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title = {Les Fontaines publiques de la ville de Dijon},
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howpublished = {Paris},
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year = 1856,
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}
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@article{DITTERICH1996,
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author = {E. Ditterich},
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title = {Wirbel um den Bodenschutz},
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journal = {Umweltmagazin},
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year = 1996,
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number = 4,
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pages = {46--48},
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}
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@article{VANGENUCHTEN1980,
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author = {M. T. {van Genuchten}},
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title = {A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils},
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journal = {Journal of the Soil Science Society of America},
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year = 1980,
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key = {Gen80},
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number = 44,
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pages = {892--898},
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}
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@article{AGRAWAL2001,
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author = {K. Agrawal and P. N. Loezos and M. Syamlal and S. Sundaresan},
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title = {The Role of Meso-Scale Structures in Rapid Gas-Solid Flows},
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journal = {Journal of Fluid Mechanics},
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year = {2001},
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number = {445},
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pages = {151--185},
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}
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@article{BEAUCHEMIN1995,
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author = {S. S. Beauchemin and J. L. Barron},
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title = {The computation of optical flow},
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journal = {ACM Computing Surveys},
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year = {1995},
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volume = {27},
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number = {3},
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pages = {433--466},
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}
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@book{MEYBERG2000,
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author = {K. Meyberg and P. Vachenauer},
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title = {H\"{o}here Mathematik 1},
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publisher = {Springer},
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year = 2001,
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edition = {6},
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}
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@book{GLADROW2000,
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author = {D. A. Wolf-Gladrow},
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title = {Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction},
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publisher = {Springer},
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year = 2000,
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edition = {1},
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}
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@book{GRIEBEL2003,
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author = {M. Griebel and S. Knapek and G. Zumbusch and A. Caglar},
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title = {Numerische Simulation in der Molek\"{u}ldynamik},
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publisher = {Springer},
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year = 2003,
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edition = {1},
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}
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@book{KARNIADAKIS2005,
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author = {G. Karniadakis and A. Be{\c c}k\"{o}k and N. R. Aluru},
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title = {Microflows and Nanoflows: Fundamentals and Simulation},
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publisher = {Springer},
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year = 2005,
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edition = {1},
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}
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@book{MUSKAT1937,
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author = {M. Muskat},
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title = {The Flow of Homogeneous Fluids Through Porous Media},
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publisher = {McGraw-Hill},
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year = 1937,
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edition = {1},
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}
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@article{BURDINE1953,
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author = {N.T. Burdine},
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title = {Relative permeability calculations from pore size distribution data},
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journal = {Transactions of the American Institute of Mining and Metallurgical Engineers},
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year = 1953,
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volume = {198},
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pages = {71--78},
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}
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@article{TENG2000,
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author = {H. Teng and T.S. Zhao},
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title = {An extension of Darcy's law to non-Stokes flow in porous media},
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journal = {Chemical engineering science},
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year = 2000,
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volume = {55},
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number = 14,
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pages = {2727--2735},
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}
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@article{HASSANIZADEH1987,
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author = {S. M. Hassanizadeh and W. G. Gray},
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title = {High velocity flow in porous media},
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journal = {Transport in Porous Media},
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year = 1987,
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}
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@book{CLASS2007,
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author = {H. Class},
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title = {Models for Non-Isothermal Compositional Gas-Liquid Flow and Transport in Porous Media},
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publisher = {University of Stuttgart},
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year = 2007,
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edition = {1},
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}
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@misc{NUMPDESKRIPT,
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author = {P. Bastian},
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title = {Numerische L\"{o}sung partieller Differentialgleichungen},
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howpublished = {University of Stutt\-gart, Lecture Notes},
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year = 2007,
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}
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@book{LEVEQUE1992,
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author = {R. J. LeVeque},
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title = {Numerical Methods for Conservation Laws},
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publisher = {Birkh\"{a}user},
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year = 1992,
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edition = {2},
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}
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@misc{GSIMSKRIPT,
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author = {P. Bastian},
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title = {Grundlagen der Modellbildung und Simulation},
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howpublished = {University of Stuttgart, Lecture Notes},
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year = 2007,
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}
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@book{HYDROSKRIPT,
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author = {R. Helmig and H. Class},
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title = {Grundlagen der Hydromechanik},
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publisher = {Shaker},
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year = 2005,
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edition = {1},
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}
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@phdthesis{DeNEFF2000,
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author = {de Neef, M. J.},
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title = {Modeling Capillary Effects in Heterogeneous Porous Media},
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school = {Technical University Delft},
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year = 2000,
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}
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@article{BASTIAN-HELMIG1999,
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author = {P. Bastian and R. Helmig},
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title = {Efficient Fully-Coupled Solution Techniques for Two Phase Flow in Porous Media. Parallel Multigrid Solution and Large Scale Computations},
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journal = {Advances in Water Resources},
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year = 1999,
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volume = {23},
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number = 3,
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pages = {199--216},
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}
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@techreport{BROOKS1964,
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author = {R. H. Brooks and A. T. Corey.},
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title = {Hydraulic properties of porous media},
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institution = {Colorado State University, Fort Collins},
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year = 1964,
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note = {Hydrology Paper No. 3, 27 pp.},
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}
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@article{KOOL1987,
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author = {J. Kool and J. C. Parker and M. T. van Genuchten},
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title = {Parameter Estimation for Unsaturated Flow and Transport Models - A Review},
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journal = {Journal of Hydrology},
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year = 1987,
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volume = 91,
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pages = {255--293},
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}
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@article{PARKER1987,
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author = {J. C. Parker and R. J. Lenhard and T. Kuppusamy},
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title = {A Parametric Model for Constitutive Properties Governing Multiphase Flow in Porous Media},
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journal = {Water Resources Research},
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year = 1987,
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volume = 23,
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number = 4,
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pages = {618--624},
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}
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@article{LENHARD1987,
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author = {R. J. Lenhard and J. C. Parker},
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title = {A Model for Hysteretic Constitutive Relations Governing Multiphase Flow. 2. Permeability-Saturation Relations},
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journal = {Water Resources Research},
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year = 1987,
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volume = 23,
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number = 12,
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pages = {2197--2206},
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}
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@article{LAND1968,
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author = {C. S. Land},
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title = {Calculation of Imbibition Relative Permeability for Two- and Three-Phase Flow from Rock Properties},
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journal = {Journal of the Society of Petroleum Engineers},
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year = 1968,
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@article{KALUARACHCHI1992,
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author = {J. J. Kaluarachchi and J. C. Parker},
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title = {Multiphase Flow with a Simplified Model for Oil Entrapment},
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journal = {Transport in Porous Media},
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year = 1992,
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volume = 7,
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number = 1,
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@book{ORTEGA2000,
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author = {J. M. Ortega and W. C. Rheinboldt},
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title = {Iterative Solution of Nonlinear Equations in Several Variables},
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publisher = {Society for Industrial and Applied Mathematics},
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year = {2000},
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address = {Philadelphia, PA, USA},
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edition = {1},
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}
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@book{MEISTER2008,
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author = {A. Meister},
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title = {Numerik linearer Gleichungssysteme: Eine Einf\"{u}hrung in moderne Verfahren.},
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publisher = {Vieweg},
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year = {2008},
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edition = {3},
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}
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@inproceedings{BURRI2006,
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author = {A. Burri and A. Dedner and R. Kl\"{o}fkorn and M. Ohlberger},
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title = {An efficient implementation of an adaptive and parallel grid in DUNE.},
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booktitle = {Computational Science and High Performance Computing II},
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author = {P. Bastian and M. Blatt and A. Dedner and C. Engwer and R. Kl\"{o}fkorn and R. Kornhuber and M. Ohlberger and O. Sander},
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title = {A Generic Grid Interface For Parallel and Adaptive Scientific Computing. Part II: implementation and tests in {DUNE}},
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author = {J. Niessner and R. Helmig and H. Jakobs and J. Roberts},
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title = {Interface Condition and Exact Linearization in the Newton Iterations for Two-phase Flow in Heterogeneous Porous Media},
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journal = {Advances in Water Resources},
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author = {A. Y. Beliaev and S. M. Hassanizadeh},
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title = {A Theoretical Model of Hysteresis and Dynamic Effects in the Capillary Relation for Two-phase Flow in Porous Media},
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pages = {487--510},
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Mannseth, T.},
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title = {Discretization on non-orthogonal, curvilinear grids
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address = {Norway}
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}
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@Article{A3:aavatsmark:1996,
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author = {Aavatsmark, I. and Barkve, T. and B{\o}e, {\O}. and
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Mannseth, T.},
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title = {Discretization on Non-Orthogonal, Quadrilateral
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Grids for Inhomogeneous Anisotropic Media},
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journal = {Journal of Computational Physics},
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year = {1996},
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volume = {127},
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pages = {2--14}
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}
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@Article{A3:aavatsmark:2002,
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author = {Aavatsmark, Ivar},
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title = {An introduction to multipoint flux approximations
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for quadrilateral grids},
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journal = {Computational Geosciences},
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year = {2002},
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volume = {6},
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pages = {405--432}
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}
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@article{A3:Braun:2002,
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author = {Braun, C. and Helmig, R. and Manthey, S.},
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title = {Determination of constitutive relationships for
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two-phase flow processes in heterogeneous porous
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media with emphasis on the relative
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permeability-saturation-relationship},
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journal = {Journal of Contaminant Hydrology},
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year = {2005}
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}
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@InProceedings{A3:edwards:1994,
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author = {Edwards, M. G. and Rogers, C. F.},
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title = {A flux continuous scheme for the full tensor
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pressure equation},
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booktitle = {Proc.\ of the 4th European Conf.\ on the Mathematics
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of Oil Recovery},
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year = {1994},
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address = {Norway}
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}
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@Book{A3:whitaker:1999,
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author = {Whitaker, Stephen},
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title = {The Method of Volume Averaging},
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publisher = {Kluwer Academic Publishers},
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year = {1999},
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volume = {13},
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series = {Theory and Applications of Transport in Porous Media},
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address = {Dordrecht}
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}
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@Book{A3:helmig:1997,
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author = {Helmig, R.},
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title = {Multiphase Flow and Transport Processes in the
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Hydrosystems},
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publisher = {Springer Verlag},
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year = {1997}
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}
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@PhdThesis{A3:emmert:1997,
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author = {Emmert, Martin},
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title = {Numerische Simulation von isothermen/nichtisothermen
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Mehrphasenprozessen unter Ber\"ucksichtigung der
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year = {1997}
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@Book{A3:class:2001,
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title = {Theorie und numerische Modellierung nichtisothermer
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series = {Mitteilungsheft}
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}
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@InBook{A3:bastian:2000,
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author = {Bastian, P. and Chen, Z. and Ewing, R. E. and
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title = {Numerical Simulation of Multiphase Flow in Fractured
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series = {Lecture Notes in Physics, Chen, Ewing and Shi (eds.)},
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}
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@MastersThesis{A3:grass:2005,
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author = {Grass, Christoph},
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title = {Untersuchung von Randbedingungen bei der numerischen
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Simulation von Zweiphasenstr\"omungen in por\"osen
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title = {Theory of Matrices},
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title = {Behandlung anisotroper Mobilit\"aten als Resultat
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school = {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
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year = {to be published 2006}
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}
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@InBook{A3:sfb404:2003,
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title = {Arbeits- und Ergebnisbericht 2003},
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chapter = {A3},
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Witherspoon, P.A.},
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title = {Numerical Modeling of Steam Injection for the
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@Article{A3:class:2002a,
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author = {Class, H. and Helmig, R. and Bastian, P.},
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title = {Numerical Simulation of Nonisothermal Multiphase
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Multicomponent Processes in Porous Media -- 1. An
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Efficient Solution Technique},
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@Article{A3:class:2002b,
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author = {Class, H. and Helmig, R.},
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title = {Numerical Simulation of Nonisothermal Multiphase
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Multicomponent Processes in Porous Media --
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2. Applications for the Injection of Steam and Air},
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journal = {Advances in Water Resources},
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@TechReport{A3:forsyth:1993,
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author = {Forsyth, P.A.},
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title = {Three dimensional modeling of steam flush for DNAPL
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site remediation},
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institution = {Dep. of Computer Science},
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year = {1993},
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address = {University of Waterloo},
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note = {CS-93-56}
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}
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@PhdThesis{A3:bielinski:2006,
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author = {Bielinski, A.},
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title = {Numerical Simulation of CO$_2$ Sequestration in
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Geological Formations},
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school = {Institut f\"ur Wasserbau, Universit\"at Stuttgart},
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year = {2006}
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}
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@Article{A3:nordbotten:2005a,
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author = {Nordbotten, J.M. and Celia, M.A. and Bachu, S.},
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title = {Injection and Storage of {CO$_2$} in Deep Saline
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Aquifers: Analytical Solution for {CO$_2$} Plume
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Evolution During Injection},
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journal = {Transport in Porous Media},
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year = {2005},
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volume = {58(3)},
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pages = {339--360}
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}
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@Article{A3:nordbotten:2005b,
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author = {Nordbotten, J.M. and Celia, M.A. and Bachu, S. and
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title = {Semi-Analytical Solution for {CO$_2$} Leakage
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}
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@Article{A3:acosta:2006,
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author = {Acosta, M. and Merten, C. and Eigenberger, G. and
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Class, H. and Helmig, R. and Thoben, B. and
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M\"uller-Steinhagen, H.},
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title = {Modeling non-isothermal two-phase multicomponent
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year = {2006},
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pages = {in print}
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author = {Sandra H\"olzemann and Holger Class and Rainer
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Helmig},
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Parameter Identification of Multiphase Flow and
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Transport Processes in Cohesive Soils},
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Approaches -- Proceedings of the International
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Conference ``From Experimental Evidence towards
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Numerical Modelling of Unsaturated Soils'' (18. -
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19. September 2003, Bauhaus-Universit\"at Weimar)}},
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publisher = {Springer-Verlag},
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note = {ISBN: 3-540-21122-5}
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}
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year = {2003}
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@Book{A3:reid:1987,
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title = {Numerical Methods for Conservation Laws},
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year = {1998}
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}
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year = {1991},
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address = {Uppsala}
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@Article{A3:gimse:1992,
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year = {1992},
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volume = {23},
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number = {3},
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pages = {635-648}
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}
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@Misc{A3:oelmann:2006b,
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author = {\"Olmann, U. and Aavatsmark, I. and Helmig, R.},
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title = {{Buckley-Leverett heterogen --- Konstruktion der
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L\"osung mit der Charakteristikenmethode}},
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howpublished = {Preprint-Reihe des SFB404},
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note = {2006/05},
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month = {March},
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year = {2006}
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}
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@book{A3:Stauffer:1984,
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title = {Introduction to Percolation Theory},
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publisher = {Taylor \& Francis},
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year = {1994}
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}
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@article{A3:King:1996,
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author = {King, P. R.},
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title = {Upscaling Permeability: Error Analysis for
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Renormalisation},
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journal = {Transport in Porous Media},
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volume = {23},
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pages = {337--354},
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year = {1996}
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}
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@article{A3:Williams:1989,
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author = {Williams, J. K.},
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title = {Simple Renormalisation Schemes for Calculating
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Effective Properties of Heterogeneous Reservoirs},
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journal = {1st European Conference on the Mathematics of Oil
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Recovery, Cambridge, UK, July 1989},
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year = {1989}
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}
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@article{A3:Wen:1996,
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author = {Wen, X. H. and G\'{o}mez-Hern\'{a}ndez, J. J.},
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title = {Upscaling hydraulic conductivities in heterogenous
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media: An overview},
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journal = {Journal of Hydrology},
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volume = {183},
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pages = {ix--xxxii},
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year = {1996}
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}
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@InProceedings{A3:HelmigEtAl:2006,
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author = {Helmig, R. and Miller, C. T. and Jakobs, H. and
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Class, H. and Hilpert, M. and Kees, C. E. and
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Niessner, J.},
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title = {{Multiphase Flow and Transport Modeling in
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Heterogeneous Porous Media}},
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booktitle = {Progress in Industrial Mathematics at ECMI 2004},
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pages = {449--488},
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year = {2006},
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editor = {Di Bucchianico, A. and Mattheij, R. M. M. and
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Peletier, M. A.},
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address = {Eindhoven University of Technology},
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month = {6},
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publisher = {Springer-Verlag},
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type = {Plenary lecture},
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note = {3-540-28072-3}
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}
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@Unpublished{A3:nordbotten:2005c,
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author = {Nordbotten, J. M. and Aavatsmark, I. and Eigestad,
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G. T.},
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title = {Monotonicity of Control Volume Methods},
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year = {2005}
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}
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@Article{A3:bastian:1999,
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author = {Bastian, P. and Helmig, R.},
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title = {Efficient Fully-Coupled Solution Techniques for Two
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Phase Flow in Porous Media. Parallel Multigrid
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Solution and Large Scale Computations},
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journal = {Advances in Water Resources},
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year = {1999}
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}
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@Article{A3:deneef:1997,
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author = {De Neef, M. and Molenaar, J.},
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title = {Analysis of DNAPL infiltration in a Medium with a
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low-permeable lens},
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journal = {Computational Geosciences},
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year = {1997},
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volume = {1},
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pages = {191-214}
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}
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@InProceedings{A3:allan:1998,
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author = {Allan, J. and Ewing, J. and Helmig, R. and Braun, J.},
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title = {Scale effects in multiphase flow modeling},
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booktitle = {1. International conference on remediation of
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chlorinated and recalcitrant compounds},
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year = {1998},
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editor = {Wickramanayake, G.B. and Hinchee, R.E.},
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address = {Monterey, California, USA},
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month = {18th--21st of may},
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publisher = {Battelle Press, Columbus, OH, USA}
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}
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