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Second-Order Accurate Finite-Difference Scheme for Solving the Problem of Elastic Wave Diffraction by the Anisotropic Gradient Layer

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dc.contributor.author Anufrieva A.
dc.contributor.author Rung E.
dc.contributor.author Tumakov D.
dc.date.accessioned 2019-01-22T20:51:53Z
dc.date.available 2019-01-22T20:51:53Z
dc.date.issued 2018
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/149158
dc.description.abstract © 2018, Pleiades Publishing, Ltd. The boundary value problem for the Lame equations for the problem of elastic wave diffraction by an anisotropic layer with continuously varying elastic parameters is considered. The original problem is reduced to the boundary value problem for a system of ordinary differential equations of the given form. The finite-difference scheme is obtained by the method of approximation of integral identities. The theorem is proved that the error of approximation of the solution has a second order of accuracy for sufficiently continuous values of the elements of the elasticity tensor. Numerical results confirming theoretical conclusions are given.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject anisotropic gradient layer
dc.subject elastic wave diffraction
dc.subject Finite-difference scheme
dc.title Second-Order Accurate Finite-Difference Scheme for Solving the Problem of Elastic Wave Diffraction by the Anisotropic Gradient Layer
dc.type Article
dc.relation.ispartofseries-issue 8
dc.relation.ispartofseries-volume 39
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1053
dc.source.id SCOPUS19950802-2018-39-8-SID85055258737


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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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