A coupled FE and DtN mapping method for the exterior problem of the helmholtz equation in an oceanic waveguide

Acta Acustica united with Acustica

Volumn 94, Issue 2, 2008, Pages 301-309

  Pan, W F ^a,b   You, Y X ^a   Miao, G P ^a   Li, Z Q ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b WUHAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE SCATTERING; COLLISION AVOIDANCE; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; HELMHOLTZ EQUATION; MARINE APPLICATIONS; PROBLEM SOLVING;

NUMERICAL IMPLEMENTATION; OCEANIC WAVEGUIDES; WAVEGUIDE BOUNDARIES;

WAVEGUIDES;

EID: 42149106269     PISSN: 16101928     EISSN: None     Source Type: Journal    
DOI: 10.3813/AAA.918033     Document Type: Article

References (22)

1. C. A. Brebbia, J. F. C. Telles, L. C. Wrobel: Boundary element techniques. Springer Verlag, Berlin, 1984.
2. A. J. Burton, G. F. Miller: The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proc. Royal Soc. London 323 (1971) 201-220.
3. stedition. Springer Verlag, New York, 1998.
4. J. A. Fawcett, T. W. Dawson: Fourier synthesis of three-dimensional scattering in an oceanic waveguide using two-dimensional boundary integral equation methods. J. Acoustic. Soc. Am. 88 (1990) 1913-1920.
5. T. W. Dawson: Acoustic scattering in a three-dimensional oceanic waveguide using two-dimensional boundary integral equation methods. J. Acoustic. Soc. Am. 90 (1991) 2609-2621.
6. Y. Z. Xu, Y. Yan: An approximate boundary integral method for acoustic scattering in shallow oceans. J. Comput. Acoust. 1 (1993) 61-75.
7. J. A. Fawcett: An effective three-dimensional boundary integral equation method for solving azimuthally symmetric scattering problems in the oceanic waveguide. J. Acoustic. Soc. Am. 94 (1993) 2307-2314.
8. T. W. Wu: On computational aspects of the boundary element method acoustic radiation and scattering in a perfect waveguide. J. Acoustic. Soc. Am. 96 (1994) 3733-3743.
9. I-Tai, Lu: Analysis of acoustic wave scattering by scatterers in layered media using the hybrid ray-mode (boundary integral equation) method. J. Acoustic. Soc. Am. 86 (1989) 1136-1142.
10. M. Fischer, U. Gauger, L. Gaul: A multipole galerkin boundary element method for acoustics. Engineering Analysis with Boundary Elements 28 (2004) 155-162.
11. M. Fischer, L. Gaul: Application of the fast multipole BEM for structural-acoustic simulations. Journal of Computational Acoustics 13 (2005) 87-98.
12. S. Marburg, S. Schneider: Performance of iterative solvers for acoustic problems. Part I: Solvers and effect of diagonal preconditioning. Engineering Analysis with Boundary Elements 27 (2003) 727-750.
13. T. Sakuma, Y. Yasuda: Fast multipole boundary element method for large-scale steady-state sound field analysis, Part I: Setup and validation. Acustica united with Acta Acustica 88 (2002) 513-525.
14. T. Sakuma, Y Sakuma: Fast multipole boundary element method for large-scale steady-state sound field analysis, Part II: Examination of numerical items. Acustica united with Acta Acustica 89 (2003) 28-38.
15. S. Schneider: Application of fast methods for acoustic scattering and radiation problems. Journal of Computational Acoustics 11 (2003) 387-401.
16. S. Marburg, S. Amini: Cat's eye radiation with boundary elements: Comparative study on treatment of irregular frequencies. Journal of Computational Acoustics 13 (2005) 21-45.
17. F. Kang: Asymptotic radiation conditions for reduced wave equation. J. Comput. Math. 2 (1984) 130-138.
18. D. Givoli: Recent advances in the DtN and FE method. Archives of Computational Methods in Engineering 6 (1999) 71-116.
19. I. Harari: A survey of finite element methods for time-harmonic acoustics. Computer Methods in Applied Mechanical Engineering 195 (2006) 1594-1607.
20. L. L. Thompson: A review of finite element methods for time-harmonic acoustics. Journal of the Acoustical Society of America 119 (2006) 1315-1330.
21. A. A. Oberai, P. M. Pinsky: A residual-based finite element method for the Helmholtz equation. Int. J. Numer. Meth. Engng. 49 (2000) 399-419.
22. O. Cessenat, B. Despres: Appication of an ultra weak variational formulation of elliptic pdes to the two-dimensional Helmholtz equation. SIAM J. Numer. Anal. 35 (1998) 255-299.