Geodesic
A method for the coupled solution of the filtration problem and the system of elasticity equations
Numerical methods and programming, Tome 18 (2017) no. 3, pp. 221-226

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A method for the coupled solution of the vicious compressible fluid filtration problem in a porous medium and the system of elasticity equations in the case of small strains is proposed. The proposed method uses a combined algorithm based on splitting the original problem with respect to physical processes. The algorithm allows one to overcome a number of disadvantages of well-known approaches. The numerical results confirm the efficiency of the proposed method for practice.
Keywords: geomechanics, finite element method, finite volume method, method of splitting with respect to physical processes, coupled solution.
Mots-clés : filtration 
@article{VMP_2017_18_3_a3,
     author = {K. Yu. Bogachev and E. V. Piskovskiy and G. G. Piatsky},
     title = {A method for the coupled solution of the filtration problem and the system of elasticity equations},
     journal = {Numerical methods and programming},
     pages = {221--226},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2017_18_3_a3/}
}
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K. Yu. Bogachev; E. V. Piskovskiy; G. G. Piatsky. A method for the coupled solution of the filtration problem and the system of elasticity equations. Numerical methods and programming, Tome 18 (2017) no. 3, pp. 221-226. http://geodesic.mathdoc.fr/item/VMP_2017_18_3_a3/