Abstract
Journal of Computational AcousticsVol. 09, No. 04, pp. 1611-1631 (2001) ICTCA'99 PapersNo AccessA GENERALIZED MODE MATCHING METHOD FOR SCATTERING PROBLEMS WITH UNBOUNDED OBSTACLESA.-S. BONNET-BENDHIA and A. TILLEQUINA.-S. BONNET-BENDHIAENSTA, SMP, URA 853-CNRS, 32 bd Victor, 75739 PARIS Cedex 15, France Search for more papers by this author and A. TILLEQUINENSTA, SMP, URA 853-CNRS, 32 bd Victor, 75739 PARIS Cedex 15, France Search for more papers by this author https://doi.org/10.1142/S0218396X01001005Cited by:5 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractThe two-dimensional time-harmonic acoustic scattering by a semi-infinite waveguide composed of two parallel rigid plates is considered. An original mode matching method is developed to avoid the use of the Wiener–Hopf technique, generalizing usual mode matching methods to the case of unbounded media. A brief description of the method is given by means of Fourier decomposition leading to a well-posed variational problem with unknown being the trace of the solution on a well-chosen interface.From the numerical point of view, a local approximation is first considered by using Lagrange P1 finite elements on a segment of the interface. This leads to the computation of oscillatory integrals involving Fourier transform and complex square root functions. As a matter of accuracy, a special function is added to the finite element space, in order to take into account the asymptotic behavior of the solution. Finally, this method is extended to deal with local perturbations of the media by coupling the previous method to a classical integral one.Presented at ICTCA'99, the 4th International Conference on Theoretical and Computational Acoustics, May 1999, Trieste, Italy. FiguresReferencesRelatedDetailsCited By 5Amplitude reflections and interaction solutions of linear and nonlinear acoustic waves with hard and soft boundariesMuhammad Ishaq and Zhi-Min Chen1 Nov 2022 | Physics of Fluids, Vol. 34, No. 11Mathematical Analysis of Wave Radiation by a Step-Like SurfaceWangtao Lu29 April 2021 | SIAM Journal on Applied Mathematics, Vol. 81, No. 2The halfspace matching method: A new method to solve scattering problems in infinite mediaAnne-Sophie Bonnet-Ben Dhia, Sonia Fliss and Antoine Tonnoir1 Aug 2018 | Journal of Computational and Applied Mathematics, Vol. 338Electromagnetic Wave Scattering from Rough Penetrable LayersHoussem Haddar and Armin Lechleiter1 Jan 2011 | SIAM Journal on Mathematical Analysis, Vol. 43, No. 5Solvability of singular integral system connected with seismic waves around the boreholeLeïla Alem and Lahcène Chorfi1 January 2006 | Mathematical Methods in the Applied Sciences, Vol. 29, No. 16 Recommended Vol. 09, No. 04 Metrics History Received 16 September 1999 Revised 6 June 2000 PDF download
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