✦ LIBER ✦

A new version of boundary integral equations and their application to dynamic three-dimensional problems of the theory of elasticity

✍ Scribed by A.O. Vatul'yan; V.M. Shamshin

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 505 KB
Volume: 62
Category: Article
ISSN: 0021-8928
DOI: 10.1016/s0021-8928(98)00054-9

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✦ Synopsis

A version of boundary integral equations of the first kind in dynamic problems of the theory of elasticity is proposed, based on an investigation of the analytic properties of the Fourier transformant of the displacement vector, rather than on fundamental solutions. A system of three boundary integral equations of the first kind with Fredholm kernels is constructed, and the equivalence of the initial boundary-value problem on the vibrations of a bounded region and the system of boundary integral equations obtained is investigated. A version of the numerical realization, which combines the ideas of the classical method of boundary elements and the Tikhonov regularization method, is proposed. The results of numerical experiments are given.

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