An iterative penalty method for a~nonlinear problem of equilibrium of a~Timoshenko-type plate with a~crack
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 397-408
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A variational problem of equilibrium of an elastic Timoshenko-type plate in a domain with a slit is considered. A nonpenetration boundary condition in the form of an inequality is specified on the edges of the slit. A penalized equation and an iterative linear equation in integral and differential forms are constructed. Some results on solution convergence and an error estimate are obtained.
@article{SJVM_2011_14_4_a4,
author = {N. P. Lazarev},
title = {An iterative penalty method for a~nonlinear problem of equilibrium of {a~Timoshenko-type} plate with a~crack},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {397--408},
publisher = {mathdoc},
volume = {14},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a4/}
}
TY - JOUR AU - N. P. Lazarev TI - An iterative penalty method for a~nonlinear problem of equilibrium of a~Timoshenko-type plate with a~crack JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2011 SP - 397 EP - 408 VL - 14 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a4/ LA - ru ID - SJVM_2011_14_4_a4 ER -
%0 Journal Article %A N. P. Lazarev %T An iterative penalty method for a~nonlinear problem of equilibrium of a~Timoshenko-type plate with a~crack %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2011 %P 397-408 %V 14 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a4/ %G ru %F SJVM_2011_14_4_a4
N. P. Lazarev. An iterative penalty method for a~nonlinear problem of equilibrium of a~Timoshenko-type plate with a~crack. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 397-408. http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a4/