Antoine, X.; Barucq, H.; Vernhet, L. High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. (English) Zbl 0986.76080 Asymptotic Anal. 26, No. 3-4, 257-283 (2001). Summary: We investigate boundary conditions that model the penetration of a time-harmonic wave into dissipative obstacle. An exact model is given for the transmission problem that couples the propagations into an absorbing domain and an exterior domain. The conditions arise from asymptotic analysis of interior solution whose propagation is studied by using pseudodifferential technique classically involved into the construction of radiation boundary conditions. Herein, first- and second-order conditions are analyzed, and some numerical experiments illustrate their validity domain. Cited in 7 Documents MSC: 76Q05 Hydro- and aero-acoustics 76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics Keywords:high-frequency asymptotic analysis; dissipative transmission problem; generalized impedance boundary conditions; acoustics; Helmholtz equation; pseudodifferential operators; time-harmonic wave; dissipative obstacle; interior solution PDFBibTeX XMLCite \textit{X. Antoine} et al., Asymptotic Anal. 26, No. 3--4, 257--283 (2001; Zbl 0986.76080)