On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics

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dc.creatorIovane, G.
dc.creatorLifanov, I. K.
dc.creatorSumbatyan, M. A.
dc.date2003-01-26
dc.date.accessioned2026-07-07T04:29:45Z
dc.date.available2026-07-07T04:29:45Z
dc.descriptionIn this paper we present a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions. The main goal of the present work is the development of an efficient direct numerical collocation method. The paper is completed with two examples taken from crack theory and acoustics: the study of a single crack in a linear isotropic elastic medium, and diffraction of a plane acoustic wave by a thin rigid screen.
dc.descriptionaccepted by Acta Mechanica, 19 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0301034
dc.identifierhttp://arxiv.org/abs/math-ph/0301034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57272
dc.subjectMathematical Physics
dc.titleOn direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics
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