Transparent boundary conditions for the harmonic diffraction problem in an elastic waveguide

DOI10.1016/j.cam.2009.08.045zbMath1405.35121OpenAlexW2052322277MaRDI QIDQ975689

E. Lunéville, Vahan Baronian, Anne-Sophie Bonnet-Ben Dhia

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.045

zbMATH Keywords

finite elementsscatteringbiorthogonalityDirichlet-to-Neumann mapelastic waveguidemodal decomposition

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Antennas, waveguides in optics and electromagnetic theory (78A50)

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Cites Work

• A note on bi-orthogonality relations for elastic cylinders of general cross section
• On the completeness of Lamb modes
• Mode series expansions at vertical boundaries in elastic waveguides
• Lamb wave propagation in elastic waveguides with variable thickness
• Orthogonality relation for the Rayleigh–Lamb modes of vibration of a plate
• Perfectly Matched Layers for the Convected Helmholtz Equation
• Lamb wave propagation in inhomogeneous elastic waveguides

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