Geodesic
On the Stokes flow computation algorithm based on woodbury formula
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 1, pp. 140-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Stokes approximation is used for the description of flow in nanostructures. An algorithm for Stokes flow computation in cases when there is great variation in the viscosity over a small spatial region is described. This method allows us to overcome computational di culties of the finite-di fference method. The background of the approach is using the Woodbury formula – a discrete analog of the Krein resolvent formula. The particular example of a rectangular domain is considered in detail. The inversion of the discrete Stokes operator is made in analytic form for the case of constant viscosity.
Keywords: nanotube, Stokes flow, finite-difference method. 
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     author = {A. I. Popov and I. S. Lobanov and I. Yu. Popov and T. V. Gerya},
     title = {On the {Stokes} flow computation algorithm based on woodbury formula},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {140--145},
     year = {2015},
     volume = {6},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a10/}
}
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A. I. Popov; I. S. Lobanov; I. Yu. Popov; T. V. Gerya. On the Stokes flow computation algorithm based on woodbury formula. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 1, pp. 140-145. http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a10/