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Volumn 199, Issue 29-32, 2010, Pages 1881-1905

A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions

Author keywords

Acoustics; Elastodynamics; Helmholtz equation; Mid frequency; Multiple inclusions; Wave Based Method

Indexed keywords

ACOUSTIC CAVITIES; COMPUTATIONAL COSTS; DYNAMIC FIELDS; DYNAMIC PROBLEM; ELASTO-DYNAMICS; ELASTODYNAMIC RESPONSE; EXACT SOLUTION; GEOMETRICAL COMPLEXITY; GEOMETRICAL FEATURES; GOVERNING DIFFERENTIAL EQUATIONS; HELMHOLTZ PROBLEMS; INCLUSION CONFIGURATION; MID-FREQUENCY; MODELLING FRAMEWORK; MULTI-LEVEL; MULTIPLE INCLUSIONS; NUMERICAL MODELLING; NUMERICAL PREDICTION METHODS; NUMERICAL VERIFICATION; PROBLEM DOMAIN; STATE DYNAMICS; SUFFICIENT CONDITIONS; SYSTEM OF EQUATIONS; WAVE BASED METHOD;

EID: 77953020306     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.01.013     Document Type: Article
Times cited : (45)

References (72)
  • 2
    • 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
  • 4
    • 0031507529 scopus 로고    scopus 로고
    • High-order finite element methods for acoustic problems
    • Harari I., Avraham D. High-order finite element methods for acoustic problems. Journal of Computational Acoustics 1997, 5:33-51. 10.1142/S0218396X97000046.
    • (1997) Journal of Computational Acoustics , vol.5 , pp. 33-51
    • Harari, I.1    Avraham, D.2
  • 7
    • 0347930487 scopus 로고    scopus 로고
    • Modified integration rules for reducing dispersion error in finite element methods
    • Guddati M.N., Yue B. Modified integration rules for reducing dispersion error in finite element methods. Computer Methods in Applied Mechanics and Engineering 2004, 193:275-287. 10.1016/j.cma.2003.09.010.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 275-287
    • Guddati, M.N.1    Yue, B.2
  • 9
    • 26844477407 scopus 로고    scopus 로고
    • Dispersion-reducing finite elements for transient acoustics
    • Yue B., Guddati M.N. Dispersion-reducing finite elements for transient acoustics. Journal of the Acoustical Society of America 2005, 118:2132-2141. 10.1121/1.2011149.
    • (2005) Journal of the Acoustical Society of America , vol.118 , pp. 2132-2141
    • Yue, B.1    Guddati, M.N.2
  • 10
    • 46349085468 scopus 로고    scopus 로고
    • Advances in iterative methods and preconditioners for the Helmholtz equation
    • Erlangga Y.A. Advances in iterative methods and preconditioners for the Helmholtz equation. Archives of Computational Methods in Engineering 2008, 15(1):37-66. 10.1007/s11831-007-9013-7.
    • (2008) Archives of Computational Methods in Engineering , vol.15 , Issue.1 , pp. 37-66
    • Erlangga, Y.A.1
  • 14
    • 0041857882 scopus 로고    scopus 로고
    • Efficient broadband vibro-acoustic analysis of passenger car bodies using an FE-based component mode synthesis approach
    • Kropp A., Heiserer D. Efficient broadband vibro-acoustic analysis of passenger car bodies using an FE-based component mode synthesis approach. Journal of Computational Acoustics 2003, 11:139-157. 10.1142/S0218396X03001870.
    • (2003) Journal of Computational Acoustics , vol.11 , pp. 139-157
    • Kropp, A.1    Heiserer, D.2
  • 17
    • 0000288806 scopus 로고
    • Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
    • Harari I., Hughes T.J.R. Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Computer Methods in Applied Mechanics and Engineering 1992, 98:411-454. 10.1016/0045-7825(92)90006-6.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.98 , pp. 411-454
    • Harari, I.1    Hughes, T.J.R.2
  • 18
    • 1642264980 scopus 로고    scopus 로고
    • Numerical investigations of stabilized finite element computations for acoustics
    • Harari I., Magoules F. Numerical investigations of stabilized finite element computations for acoustics. Wave Motion 2004, 39:339-349. 10.1016/j.wavemoti.2003.12.001.
    • (2004) Wave Motion , vol.39 , pp. 339-349
    • Harari, I.1    Magoules, F.2
  • 19
    • 0001254041 scopus 로고    scopus 로고
    • Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
    • Babuska I.M., Sauter S.A. Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?. SIAM Journal on Numerical Analysis 1997, 34:2392-2423. 10.1137/S0036142994269186.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , pp. 2392-2423
    • Babuska, I.M.1    Sauter, S.A.2
  • 20
    • 0042859901 scopus 로고    scopus 로고
    • Using plane waves as base functions for solving time harmonic equations with the ultra weak variational formulation
    • Cessenat O., Desprès B. Using plane waves as base functions for solving time harmonic equations with the ultra weak variational formulation. Journal of Computational Acoustics 2003, 11(2):227-238. 10.1142/S0218396X03001912.
    • (2003) Journal of Computational Acoustics , vol.11 , Issue.2 , pp. 227-238
    • Cessenat, O.1    Desprès, B.2
  • 25
    • 0037436501 scopus 로고    scopus 로고
    • A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency range
    • Farhat C., Harari I., Hetmaniuk U. A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency range. Computer Methods in Applied Mechanics and Engineering 2003, 192:1389-1419. 10.1016/S0045-7825(02)00646-1.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 1389-1419
    • Farhat, C.1    Harari, I.2    Hetmaniuk, U.3
  • 26
    • 33646201716 scopus 로고    scopus 로고
    • Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
    • Tezaur R., Farhat C. Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems. International Journal for Numerical Methods in Engineering 2006, 66(5):796-815. 10.1002/nme.1575.
    • (2006) International Journal for Numerical Methods in Engineering , vol.66 , Issue.5 , pp. 796-815
    • Tezaur, R.1    Farhat, C.2
  • 27
    • 33744938206 scopus 로고    scopus 로고
    • The generalized finite element method for Helmholtz equation: Theory, computation, and open problems
    • Strouboulis T., Babuska I., Hidajat R. The generalized finite element method for Helmholtz equation: Theory, computation, and open problems. Computer Methods in Applied Mechanics and Engineering 2006, 195(37-40):4711-4731. 10.1016/j.cma.2005.09.019.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.37-40 , pp. 4711-4731
    • Strouboulis, T.1    Babuska, I.2    Hidajat, R.3
  • 31
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method: an example of its implementation and illustration of its performance
    • Strouboulis T., Copps K., Babuska I. The generalized finite element method: an example of its implementation and illustration of its performance. International journal for numerical methods in engineering 2000, 47:1401-1417. 10.1002/(SICI)1097-0207(20000320)47:8%3C1401::AID-NME835%3E3.0.CO;2-8.
    • (2000) International journal for numerical methods in engineering , vol.47 , pp. 1401-1417
    • Strouboulis, T.1    Copps, K.2    Babuska, I.3
  • 33
    • 0029547810 scopus 로고
    • Recent developments in the trefftz method for finite element and boundary element applications
    • Piltner R. Recent developments in the trefftz method for finite element and boundary element applications. Advances in Engineering Software 1995, 24:107-115. 10.1016/0965-9978(95)00063-1.
    • (1995) Advances in Engineering Software , vol.24 , pp. 107-115
    • Piltner, R.1
  • 34
    • 33748090620 scopus 로고    scopus 로고
    • A hybrid-trefftz element containing an elliptic hole
    • Dhanasekar M., Han J., Qin Q. A hybrid-trefftz element containing an elliptic hole. Finite elements in analysis and design 2006, 42:1314-1323. 10.1016/j.finel.2006.06.008.
    • (2006) Finite elements in analysis and design , vol.42 , pp. 1314-1323
    • Dhanasekar, M.1    Han, J.2    Qin, Q.3
  • 35
    • 21044443461 scopus 로고    scopus 로고
    • Isogeometric analysis: Cad, finite elements, nurbs, exact geometry and mesh refinement
    • Hughes T., Cottrell J., Bazilevs Y. Isogeometric analysis: Cad, finite elements, nurbs, exact geometry and mesh refinement. Computer Methods in Applied Mechanics and Engineering 2005, 194(39-41):4135-4195. 10.1016/j.cma.2004.10.008.
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.39-41 , pp. 4135-4195
    • Hughes, T.1    Cottrell, J.2    Bazilevs, Y.3
  • 38
    • 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, 10:25-51. 10.1142/S0218396X02001401.
    • (2002) Journal of Computational Acoustics , vol.10 , pp. 25-51
    • Marburg, S.1
  • 41
    • 77953022792 scopus 로고    scopus 로고
    • A wave based prediction technique for coupled vibro-acoustic analysis, K.U. Leuven, division PMA, PhD. thesis 98D12
    • W. Desmet, A wave based prediction technique for coupled vibro-acoustic analysis, K.U. Leuven, division PMA, PhD. thesis 98D12.. http://www.mech.kuleuven.
    • Desmet, W.1
  • 42
    • 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, 33:527-540. 10.1016/S0965-9978(02)00062-5.
    • (2002) Advances in Engineering Software , vol.33 , pp. 527-540
    • Desmet, W.1    Van Hal, B.2    Sas, P.3    Vandepitte, D.4
  • 43
    • 2942517484 scopus 로고    scopus 로고
    • Application of an efficient wave based prediction technique for the analysis of vibro-acoustic radiation problems
    • Pluymers B., Desmet W., Vandepitte D., Sas P. Application of an efficient wave based prediction technique for the analysis of vibro-acoustic radiation problems. Journal of Computational and Applied Mathematics 2004, 168:353-364. 10.1016/j.cam.2003.05.020.
    • (2004) Journal of Computational and Applied Mathematics , vol.168 , pp. 353-364
    • Pluymers, B.1    Desmet, W.2    Vandepitte, D.3    Sas, P.4
  • 44
    • 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 & Sciences 2005, 7(2):173-184.
    • (2005) Computer Modeling in Engineering & Sciences , vol.7 , Issue.2 , pp. 173-184
    • Pluymers, B.1    Desmet, W.2    Vandepitte, D.3    Sas, P.4
  • 46
  • 47
    • 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
  • 49
    • 77953019915 scopus 로고    scopus 로고
    • A trefftz-based numerical modelling framework for helmholtz problems with complex multiple scatterer configurations, submitted to Journal of Computational Physics
    • B. Van Genechten, D. Vandepitte, W. Desmet, A trefftz-based numerical modelling framework for helmholtz problems with complex multiple scatterer configurations, submitted to Journal of Computational Physics.
    • Van Genechten, B.1    Vandepitte, D.2    Desmet, W.3
  • 50
    • 62549084245 scopus 로고    scopus 로고
    • Revisit of two classical elasticity problems by using the trefftz method
    • Chen J.T., Lee Y.T., Shieh S.C. Revisit of two classical elasticity problems by using the trefftz method. Engineering Analysis with Boundary Elements 2009, 33:890-895. 10.1016/j.enganabound.2008.12.003.
    • (2009) Engineering Analysis with Boundary Elements , vol.33 , pp. 890-895
    • Chen, J.T.1    Lee, Y.T.2    Shieh, S.C.3
  • 51
    • 0037402045 scopus 로고    scopus 로고
    • A multiscale computational method for medium-frequency vibrations of assemblies of heterogeneous plates
    • Ladevèze P., Blanc L., Rouch P., Blanzé C. A multiscale computational method for medium-frequency vibrations of assemblies of heterogeneous plates. Computers & Structures 2003, 81(12):1267-1276. 10.1016/S0045-7949(03)00041-5.
    • (2003) Computers & Structures , vol.81 , Issue.12 , pp. 1267-1276
    • Ladevèze, P.1    Blanc, L.2    Rouch, P.3    Blanzé, C.4
  • 52
    • 33947221440 scopus 로고    scopus 로고
    • A multiscale trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates with uncertainties
    • Blanc L., Blanzé C., Rouch P. A multiscale trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates with uncertainties. Computers & Structures 2007, 85(10):595-605. 10.1016/j.compstruc.2006.08.078.
    • (2007) Computers & Structures , vol.85 , Issue.10 , pp. 595-605
    • Blanc, L.1    Blanzé, C.2    Rouch, P.3
  • 53
    • 1942485266 scopus 로고    scopus 로고
    • Extension of the variational theory of complex rays to shells for medium-frequency vibrations
    • Riou H., Ladevèze P., Rouch P. Extension of the variational theory of complex rays to shells for medium-frequency vibrations. Journal of Sound and Vibration 2004, 272:341-360. 10.1016/S0022-460X(03)00775-2.
    • (2004) Journal of Sound and Vibration , vol.272 , pp. 341-360
    • Riou, H.1    Ladevèze, P.2    Rouch, P.3
  • 54
    • 77953022508 scopus 로고    scopus 로고
    • Finite T-elements for the Poisson and Helmholtz equations, Ecole polytechnique federal de Lausanne, PhD. thesis
    • M. Stojek, Finite T-elements for the Poisson and Helmholtz equations, Ecole polytechnique federal de Lausanne, PhD. thesis, 1996.
    • (1996)
    • Stojek, M.1
  • 55
    • 0032027047 scopus 로고    scopus 로고
    • Least-squares Trefftz-type elements for the Helmholtz equation
    • Stojek M. Least-squares Trefftz-type elements for the Helmholtz equation. International Journal for Numerical Methods in Engineering 1998, 41:831-849. 10.1002/(SICI)1097-0207(19980315)41:5<831::AID-NME311>3.0.CO;2-V.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 831-849
    • Stojek, M.1
  • 58
    • 0037436501 scopus 로고    scopus 로고
    • A discontinuous galerkin method with lagrange multipliers for the solution of helmholtz problems in the mid-frequency regime
    • Farhat C., Harari I., Hetmaniuk U. A discontinuous galerkin method with lagrange multipliers for the solution of helmholtz problems in the mid-frequency regime. Computer Methods in Applied Mechanics and Engineering 2003, 192(11-12):1389-1419. 10.1016/S0045-7825(02)00646-1.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.11-12 , pp. 1389-1419
    • Farhat, C.1    Harari, I.2    Hetmaniuk, U.3
  • 60
    • 77953027322 scopus 로고    scopus 로고
    • Automation and performance optimization of the wave based method for interior structural-acoustic problems, K.U.Leuven, division PMA, PhD. thesis 2004D07
    • B. Van Hal, Automation and performance optimization of the wave based method for interior structural-acoustic problems, K.U.Leuven, division PMA, PhD. thesis 2004D07, 2004.. http://www.mech.kuleuven.
    • (2004)
    • Van Hal, B.1
  • 65
    • 77953025856 scopus 로고    scopus 로고
    • Development of a wave based prediction technique for the efficient analysis of low- and mid-frequency structural vibrations, K.U.Leuven, division PMA, PhD. thesis 2007D11
    • C. Vanmaele, Development of a wave based prediction technique for the efficient analysis of low- and mid-frequency structural vibrations, K.U.Leuven, division PMA, PhD. thesis 2007D11, 2007.. http://www.mech.kuleuven.
    • (2007)
    • Vanmaele, C.1
  • 66
    • 0002434551 scopus 로고
    • A practical examination of some numerical methods for linear discrete ill-posed problems
    • Varah J.M. A practical examination of some numerical methods for linear discrete ill-posed problems. SIAM Review 1979, 21:100-111. 10.1137/1021007.
    • (1979) SIAM Review , vol.21 , pp. 100-111
    • Varah, J.M.1
  • 69
    • 77953022886 scopus 로고    scopus 로고
    • Wave based modelling methods for steady-state vibro-acoustics, K.U. Leuven, division PMA, PhD. thesis 2006D04
    • B. Pluymers, Wave based modelling methods for steady-state vibro-acoustics, K.U. Leuven, division PMA, PhD. thesis 2006D04.. http://www.mech.kuleuven.
    • Pluymers, B.1
  • 70
    • 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
  • 72
    • 84868091273 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. Vol. 107 of Encyclopedia of Mathematics and its Applications 2006, Cambridge University Press.
    • (2006) Vol. 107 of Encyclopedia of Mathematics and its Applications
    • Martin, P.A.1


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