Geodesic
Using domain decomposition method and non-matching grids for solving some variational inequalities
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 68-78

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Finite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. Domain decomposition method and non-matching grids are used for the approximation. Splitting and Uzawa-type iterative methods are investigated for solving the approximated problems. Numerical comparison of their efficiency is carried out.
Keywords: variational inequalities, finite difference approximation, non-matching grids, iterative methods.
Mots-clés : domain decomposition 
@article{UZKU_2015_157_2_a5,
     author = {M. A. Ignatieva and A. V. Lapin},
     title = {Using domain decomposition method and non-matching grids for solving some variational inequalities},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {68--78},
     publisher = {mathdoc},
     volume = {157},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a5/}
}
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M. A. Ignatieva; A. V. Lapin. Using domain decomposition method and non-matching grids for solving some variational inequalities. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 68-78. http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a5/