On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge

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dc.creatorKamotski, V.
dc.creatorFradkin, L. Ju.
dc.creatorSamokish, B. A.
dc.creatorBorovikov, V. A.
dc.creatorBabich, V. M.
dc.date2006-04-06
dc.date.accessioned2026-07-07T07:10:18Z
dc.date.available2026-07-07T07:10:18Z
dc.descriptionSeveral semianalytical approaches are now available for describing diffraction of a plane wave by the 2D (two dimensional) traction free isotropic elastic wedge. In this paper we follow Budaev and Bogy who reformulated the original diffraction problem as a singular integral one. This comprises two algebraic and two singular integral equations. Each integral equation involves two unknowns, a function and a constant. We discuss the underlying integral operators and develop a new semianalytical scheme for solving the integral equations. We investigate the properties of the obtained solution and argue that it is the solution of the original diffraction problem. We describe a comprehensive code verification and validation programme.
dc.identifierhttps://arxiv.org/abs/math-ph/0604011
dc.identifierhttp://arxiv.org/abs/math-ph/0604011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111383
dc.subjectMathematical Physics
dc.subject35J05,35L05,44A15,45Exx,47B35
dc.titleOn Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge
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