Solving the quasi-variational Signorini inequality by the method of successive approximations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 805-814
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The method of successive approximations is examined as a tool for solving the semicoercive quasi-variational Signorini inequality. The auxiliary problems with given friction arising at each step of this method are solved using the Uzawa method with an iterative proximal regularization of the modified Lagrangian functional.
@article{ZVMMF_2009_49_5_a3,
author = {R. V. Namm and S. A. Sachkov},
title = {Solving the quasi-variational {Signorini} inequality by the method of successive approximations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {805--814},
publisher = {mathdoc},
volume = {49},
number = {5},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a3/}
}
TY - JOUR AU - R. V. Namm AU - S. A. Sachkov TI - Solving the quasi-variational Signorini inequality by the method of successive approximations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 805 EP - 814 VL - 49 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a3/ LA - ru ID - ZVMMF_2009_49_5_a3 ER -
%0 Journal Article %A R. V. Namm %A S. A. Sachkov %T Solving the quasi-variational Signorini inequality by the method of successive approximations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 805-814 %V 49 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a3/ %G ru %F ZVMMF_2009_49_5_a3
R. V. Namm; S. A. Sachkov. Solving the quasi-variational Signorini inequality by the method of successive approximations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 805-814. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a3/