Micro-Differential Boundary Conditions Modelling the Absorption of Acoustic Waves by 2D Arbitrarily-Shaped Convex Surfaces

DOI10.4208/cicp.311209.260411szbMath1373.76303OpenAlexW3034152962MaRDI QIDQ4588626

Véronique Duprat, Hélène Barucq, Julien Diaz

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00649837/file/BarucqDiazDupratCiCP.pdf

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Free boundary problems for PDEs (35R35)

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Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation ⋮ On-surface radiation condition for multiple scattering of waves ⋮ Well-Posedness for Photoacoustic Tomography with Fabry--Perot Sensors ⋮ Iterative on surface radiation conditions for fast and reliable single and multiple scattering analyses of arbitrarily shaped obstacles ⋮ Local on-surface radiation condition for multiple scattering of waves from convex obstacles ⋮ High order surface radiation conditions for time-harmonic waves in exterior domains ⋮ LONG-TERM STABILITY ANALYSIS OF ACOUSTIC ABSORBING BOUNDARY CONDITIONS

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