Geodesic
Simulation of two-phase fluid filtration by mixed finite element method
Matematičeskoe modelirovanie, Tome 22 (2010) no. 3, pp. 74-90

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Within the mixed finite element method the numerical model for two-phase incompressible fluid filtration is designed in the terms “velocity-pressure-saturation”. Proposed approach is based on the first order equations only, and uses projection form of connection between total velocity and water velocity. The model is implemented as parallel algorithm for high performance cluster computations. 
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     author = {Yu. M. Laevsky and P. E. Popov and A. A. Kalinkin},
     title = {Simulation of two-phase fluid filtration by mixed finite element method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {74--90},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_3_a5/}
}
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Yu. M. Laevsky; P. E. Popov; A. A. Kalinkin. Simulation of two-phase fluid filtration by mixed finite element method. Matematičeskoe modelirovanie, Tome 22 (2010) no. 3, pp. 74-90. http://geodesic.mathdoc.fr/item/MM_2010_22_3_a5/