Geodesic
Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 152-177

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The problem of transverse vibrations of a thin elastic plate is considered. It is proved that the differential operators of the boundary value problem are regularly elliptic, and weak solutions are estimated. For a previously developed difference method, the solution to the difference problem is proved to converge strongly to a weak solution of the original differential problem and the rate of convergence is estimated. 
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     author = {A. A. Kuleshov and V. V. Mymrin and A. V. Razgulin},
     title = {Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a10/}
}
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A. A. Kuleshov; V. V. Mymrin; A. V. Razgulin. Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 152-177. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a10/