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Volumn 229, Issue 18, 2010, Pages 6623-6643

A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations

Author keywords

Helmholtz equation; Mid frequency; Multiple scattering; Trefftz method; Unbounded domain; Wave Based Method

Indexed keywords

BOUNDARY ELEMENT METHOD; MULTIPLE SCATTERING; NUMERICAL METHODS; NUMERICAL MODELS; SAILING VESSELS;

EID: 77954143738     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.05.016     Document Type: Article
Times cited : (45)

References (43)
  • 1
    • 34247490408 scopus 로고    scopus 로고
    • Multiple Scattering, Interaction of Time-Harmonic Waves with N obstacles
    • Cambridge University Press
    • Martin P.A. Multiple Scattering, Interaction of Time-Harmonic Waves with N obstacles. Encyclopedia of Mathematics and its Applications 2006, vol. 107. Cambridge University Press.
    • (2006) Encyclopedia of Mathematics and its Applications , vol.107
    • Martin, P.A.1
  • 2
    • 0022012229 scopus 로고
    • Integral-equation methods for multiple-scattering problems, I. Acoustics
    • Martin P.A. Integral-equation methods for multiple-scattering problems, I. Acoustics. Quarterly Journal of Mechanics and Applied Mathematics 1985, 38(1):105-118. 10.1093/qjmam/38.1.105.
    • (1985) Quarterly Journal of Mechanics and Applied Mathematics , vol.38 , Issue.1 , pp. 105-118
    • Martin, P.A.1
  • 4
    • 33645020054 scopus 로고
    • The multiple scattering of waves. I. General theory of isotropic scattering by randomly distributed scatterers
    • Foldy L.L. The multiple scattering of waves. I. General theory of isotropic scattering by randomly distributed scatterers. Physical Review 1945, 67:107-119. 10.1103/PhysRev.67.107.
    • (1945) Physical Review , vol.67 , pp. 107-119
    • Foldy, L.L.1
  • 5
    • 0001508686 scopus 로고
    • Multiple scattering of waves
    • Lax M. Multiple scattering of waves. Reviews of Modern Physics 1951, 23(4):287-310. 10.1103/RevModPhys.23.287.
    • (1951) Reviews of Modern Physics , vol.23 , Issue.4 , pp. 287-310
    • Lax, M.1
  • 6
    • 84945911523 scopus 로고
    • Multiple scattering of radiation by an arbitrary configuration of parallel cylinders
    • Twersky V. Multiple scattering of radiation by an arbitrary configuration of parallel cylinders. The Journal of the Acoustical Society of America 1952, 24(1):42-46. 10.1121/1.1906845.
    • (1952) The Journal of the Acoustical Society of America , vol.24 , Issue.1 , pp. 42-46
    • Twersky, V.1
  • 8
    • 0016102824 scopus 로고
    • Matrix formulation of acoustic scattering from an arbitrary number of scatterers
    • Peterson B., Ström S. Matrix formulation of acoustic scattering from an arbitrary number of scatterers. Acoustical Society of America 1974, 56(3):771-780. 10.1121/1.1903325.
    • (1974) Acoustical Society of America , vol.56 , Issue.3 , pp. 771-780
    • Peterson, B.1    Ström, S.2
  • 9
    • 0042525705 scopus 로고    scopus 로고
    • On connections between boundary integral equations and T-matrix methods
    • Martin P.A. On connections between boundary integral equations and T-matrix methods. Engineering Analysis with Boundary Elements 2003, 27(7):771-777. 10.1016/S0955-7997(03)00028-6.
    • (2003) Engineering Analysis with Boundary Elements , vol.27 , Issue.7 , pp. 771-777
    • Martin, P.A.1
  • 10
    • 0028408549 scopus 로고
    • Efficient computation of three-dimensional scattering of vector electromagnetic waves
    • Chew W.C., Lu C.C., Wang Y.M. Efficient computation of three-dimensional scattering of vector electromagnetic waves. Journal of the Optical Society of America A 1994, 11:1528-1537. 10.1364/JOSAA.11.001528.
    • (1994) Journal of the Optical Society of America A , vol.11 , pp. 1528-1537
    • Chew, W.C.1    Lu, C.C.2    Wang, Y.M.3
  • 11
    • 37249022282 scopus 로고    scopus 로고
    • On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders
    • Antoine X., Chniti C., Ramdani K. On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Journal of Computational Physics 2008, 227(3):1754-1771. 10.1016/j.jcp.2007.09.030.
    • (2008) Journal of Computational Physics , vol.227 , Issue.3 , pp. 1754-1771
    • Antoine, X.1    Chniti, C.2    Ramdani, K.3
  • 14
    • 28144432041 scopus 로고
    • Accurate finite difference methods for time-harmonic wave propagation
    • Harari I., Turkel E. Accurate finite difference methods for time-harmonic wave propagation. Journal of Computational Physics 1995, 119(2):252-270. 10.1006/jcph.1995.1134.
    • (1995) Journal of Computational Physics , vol.119 , Issue.2 , pp. 252-270
    • Harari, I.1    Turkel, E.2
  • 15
    • 33644650994 scopus 로고    scopus 로고
    • A review of finite-element methods for time-harmonic acoustics
    • Thompson L.L. A review of finite-element methods for time-harmonic acoustics. The Journal of the Acoustical Society of America 2006, 119(3):1315-1330. 10.1121/1.2164987.
    • (2006) The Journal of the Acoustical Society of America , vol.119 , Issue.3 , pp. 1315-1330
    • Thompson, L.L.1
  • 16
    • 0000271460 scopus 로고
    • Exact non-reflecting boundary conditions
    • Keller J.B., Givoli D. Exact non-reflecting boundary conditions. Journal of Computational Physics 1989, 82(1):172-192. 10.1016/0021-9991(89)90041-7.
    • (1989) Journal of Computational Physics , vol.82 , Issue.1 , pp. 172-192
    • Keller, J.B.1    Givoli, D.2
  • 17
    • 0000907608 scopus 로고
    • On nonreflecting boundary conditions
    • Grote M.J., Keller J.B. On nonreflecting boundary conditions. Journal of Computational Physics 1995, 122(2):231-243. 10.1006/jcph.1995.1210.
    • (1995) Journal of Computational Physics , vol.122 , Issue.2 , pp. 231-243
    • Grote, M.J.1    Keller, J.B.2
  • 20
    • 0028374288 scopus 로고
    • Mapped wave envelope elements for acoustical radiation and scattering
    • Astley R.J., Macaulay G.J., Coyette J.P. Mapped wave envelope elements for acoustical radiation and scattering. Journal of Sound and Vibration 1994, 170(1):97-118. 10.1006/jsvi.1994.1048.
    • (1994) Journal of Sound and Vibration , vol.170 , Issue.1 , pp. 97-118
    • Astley, R.J.1    Macaulay, G.J.2    Coyette, J.P.3
  • 21
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Berenger J.-P. A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 1994, 114(2):185-200. 10.1006/jcph.1994.1159.
    • (1994) Journal of Computational Physics , vol.114 , Issue.2 , pp. 185-200
    • Berenger, J.-P.1
  • 22
    • 0034345540 scopus 로고    scopus 로고
    • Analytical and numerical studies of a finite element PML for the Helmholtz equation
    • Harari I., Slavutin M., Turkel E. Analytical and numerical studies of a finite element PML for the Helmholtz equation. Journal of Computational Acoustics 2000, 8(1):121-137. 10.1142/S0218396X0000008X.
    • (2000) Journal of Computational Acoustics , vol.8 , Issue.1 , pp. 121-137
    • Harari, I.1    Slavutin, M.2    Turkel, E.3
  • 23
    • 8744303076 scopus 로고    scopus 로고
    • Dirichlet-to-Neumann boundary conditions for multiple scattering problems
    • Grote M.J., Kirsch C. Dirichlet-to-Neumann boundary conditions for multiple scattering problems. Journal of Computational Physics 2004, 201(2):630-650. 10.1016/j.jcp.2004.06.012.
    • (2004) Journal of Computational Physics , vol.201 , Issue.2 , pp. 630-650
    • Grote, M.J.1    Kirsch, C.2
  • 24
    • 33846217045 scopus 로고    scopus 로고
    • Nonreflecting boundary condition for time-dependent multiple scattering
    • Grote M.J., Kirsch C. Nonreflecting boundary condition for time-dependent multiple scattering. Journal of Computational Physics 2007, 221(1):41-62. 10.1016/j.jcp.2006.06.007.
    • (2007) Journal of Computational Physics , vol.221 , Issue.1 , pp. 41-62
    • Grote, M.J.1    Kirsch, C.2
  • 25
    • 0032851753 scopus 로고    scopus 로고
    • Error estimation and adaptivity for the finite element method in acoustics: 2d and 3d applications
    • Bouillard P., Ihlenburg F. Error estimation and adaptivity for the finite element method in acoustics: 2d and 3d applications. Computer Methods in Applied Mechanics and Engineering 1999, 176(1-4):147-163. 10.1016/S0045-7825(98)00334-X.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.176 , Issue.1-4 , pp. 147-163
    • Bouillard, P.1    Ihlenburg, F.2
  • 27
    • 0036000820 scopus 로고    scopus 로고
    • Six boundary elements per wavelength: is that enough?
    • Marburg S. Six boundary elements per wavelength: is that enough?. Journal of Computational Acoustics 2002, 10(1):25-51. 10.1142/S0218396X02001401.
    • (2002) Journal of Computational Acoustics , vol.10 , Issue.1 , pp. 25-51
    • Marburg, S.1
  • 28
    • 85190796811 scopus 로고    scopus 로고
    • A Wave Based Prediction Technique for Coupled Vibro-Acoustic Analysis, K.U.Leuven, Division PMA, Ph.D. Thesis, 98D12.
    • W. Desmet, A Wave Based Prediction Technique for Coupled Vibro-Acoustic Analysis, K.U.Leuven, Division PMA, Ph.D. Thesis, 98D12.
    • Desmet, W.1
  • 29
    • 85190762118 scopus 로고
    • Ein gegenstück zum ritzschen verfahren, in: Second International Congress on Applied Mechanics, Zürich, Switserland, .
    • E. Trefftz, Ein gegenstück zum ritzschen verfahren, in: Second International Congress on Applied Mechanics, Zürich, Switserland, 1926, pp. 131-137.
    • (1926) , pp. 131-137
    • Trefftz, E.1
  • 30
    • 65449155971 scopus 로고    scopus 로고
    • An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities
    • Vanmaele C., Vandepitte D., Desmet W. An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities. Computer Methods in Applied Mechanics and Engineering 2009, 198(30-32):2227-2245. 10.1016/j.cma.2009.01.015.
    • (2009) Computer Methods in Applied Mechanics and Engineering , vol.198 , Issue.30-32 , pp. 2227-2245
    • Vanmaele, C.1    Vandepitte, D.2    Desmet, W.3
  • 31
  • 33
    • 0036663138 scopus 로고    scopus 로고
    • A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems
    • Desmet W., Van Hal B., Sas P., Vandepitte D. A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems. Advances in Engineering Software 2002, 33(7-10):527-540. 10.1016/S0965-9978(02)00062-5.
    • (2002) Advances in Engineering Software , vol.33 , Issue.7-10 , pp. 527-540
    • Desmet, W.1    Van Hal, B.2    Sas, P.3    Vandepitte, D.4
  • 34
    • 15544390652 scopus 로고    scopus 로고
    • On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis
    • Pluymers B., Desmet W., Vandepitte D., Sas P. On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis. Computer Modeling in Engineering and Sciences 2005, 7(2):173-184.
    • (2005) Computer Modeling in Engineering and Sciences , vol.7 , Issue.2 , pp. 173-184
    • Pluymers, B.1    Desmet, W.2    Vandepitte, D.3    Sas, P.4
  • 36
    • 85190784314 scopus 로고    scopus 로고
    • Wave Based Modelling Methods for Steady-State Vibro-Acoustics, K.U.Leuven, Division PMA, Ph.D. Thesis, 2006D04.
    • B. Pluymers, Wave Based Modelling Methods for Steady-State Vibro-Acoustics, K.U.Leuven, Division PMA, Ph.D. Thesis, 2006D04.
    • Pluymers, B.1
  • 37
    • 0031234450 scopus 로고    scopus 로고
    • A domain decomposition method for the helmholtz equation and related optimal control problems
    • Benamou J.-D., Desprès B. A domain decomposition method for the helmholtz equation and related optimal control problems. Journal of Computational Physics 1997, 136(1):68-82. 10.1006/jcph.1997.5742.
    • (1997) Journal of Computational Physics , vol.136 , Issue.1 , pp. 68-82
    • Benamou, J.-D.1    Desprès, B.2
  • 39
    • 85190804974 scopus 로고    scopus 로고
    • Efficient wave based models for acoustic scattering and transmission problems using point source and plane wave excitation, in: Proceedings of the Fourteenth International Congress on Sound and Vibration (ICSV14), Cairns, Australia,
    • B. Bergen, B. Van Genechten, B. Pluymers, D. Vandepitte, W. Desmet, Efficient wave based models for acoustic scattering and transmission problems using point source and plane wave excitation, in: Proceedings of the Fourteenth International Congress on Sound and Vibration (ICSV14), Cairns, Australia, 2007.
    • (2007)
    • Bergen, B.1    Van Genechten, B.2    Pluymers, B.3    Vandepitte, D.4    Desmet, W.5
  • 42
    • 0003691880 scopus 로고    scopus 로고
    • Finite Element Analysis of Acoustic Scattering
    • Springer-Verlag, New York
    • Ihlenburg F. Finite Element Analysis of Acoustic Scattering. Applied Mathematical Sciences 1998, vol. 132. Springer-Verlag, New York.
    • (1998) Applied Mathematical Sciences , vol.132
    • Ihlenburg, F.1
  • 43
    • 77953020306 scopus 로고    scopus 로고
    • A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions, Computer Methods in Applied Mechanics and Engineering 199 (29-32), doi:10.1016/j.cma.2010.01.013
    • B. Van Genechten, K. Vergote, D. Vandepitte, W. Desmet, A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions, Computer Methods in Applied Mechanics and Engineering 199 (29-32) (2010) 1881-1905, doi:10.1016/j.cma.2010.01.013.
    • (2010) , pp. 1881-1905
    • Van Genechten, B.1    Vergote, K.2    Vandepitte, D.3    Desmet, W.4


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