Geodesic
The conjugate-operator model for a~dynamic problem of the plate theory
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 299-311

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In this paper, according to hypotheses of a technical theory of their plates the equations, making up the mathematical model of the dynamic problem of elasticity theory, are averaged on the operator level. As a result, the conjugate-operator model of the dynamic problem of the theory of plates has been obtained, its possible statements being formulated, and approaches to their numerical realization being discussed. The efficient difference schemes (local-one-dimensional) for the statement “velocities-moments” are substantiated. 
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     author = {S. B. Sorokin},
     title = {The conjugate-operator model for a~dynamic problem of the plate theory},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {299--311},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a7/}
}
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S. B. Sorokin. The conjugate-operator model for a~dynamic problem of the plate theory. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 299-311. http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a7/