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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     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/}
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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/