Geodesic
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. 
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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/

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