Geodesic
Additive difference schemes for filtration problems in multilayer systems
Matematičeskoe modelirovanie, Tome 13 (2001) no. 10, pp. 91-102 
E. A. Hayryan; P. N. Vabishchevich; M. Pavlus; A. V. Fedorov. Additive difference schemes for filtration problems in multilayer systems. Matematičeskoe modelirovanie, Tome 13 (2001) no. 10, pp. 91-102. http://geodesic.mathdoc.fr/item/MM_2001_13_10_a6/
@article{MM_2001_13_10_a6,
     author = {E. A. Hayryan and P. N. Vabishchevich and M. Pavlus and A. V. Fedorov},
     title = {Additive difference schemes for filtration problems in multilayer systems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {91--102},
     year = {2001},
     volume = {13},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_10_a6/}
}
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In the paper difference schemes for solution of the plane filtration problem in multilayer systems are analyzed within the framework of difference schemes general theory. Attention is paid to splitting the schemes on physical processes of filtration along water-carrying layers and vertical motion between layers. Some absolutely stable additive difference schemes are obtained the realization of which needs no software modification. Parallel algorithm connected with the solving of the nitration problem in every watercarrying layer on a single processor is constructed. Program realization on the multiprocessor system SPP-2000 at JINR is discussed.