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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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