Geodesic
Difference approximation of the problem of bending vibrations of a thin elastic plate
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 718-740

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The problem of bending vibrations of a thin elastic plate is considered. A difference method is proposed for solving the problem. The convergence of the solution of the difference problem to a generalized solution of the original differential problem is proved and the rate of convergence is estimated. 
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     author = {A. A. Kuleshov},
     title = {Difference approximation of the problem of bending vibrations of a thin elastic plate},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {718--740},
     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a13/}
}
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A. A. Kuleshov. Difference approximation of the problem of bending vibrations of a thin elastic plate. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 718-740. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a13/