메뉴 건너뛰기




Volumn 61, Issue 2, 2010, Pages 155-175

An Efficient trefftz-based method for three-dimensional helmholtz problems in unbounded domains

Author keywords

Mid frequency; Numerical acoustics; Scattering; Trefftz; Wave Based Method

Indexed keywords

ACOUSTIC SCATTERING; CAT'S EYES; DYNAMIC VARIABLES; FUNCTION SETS; HELMHOLTZ PROBLEMS; INDIRECT TREFFTZ METHOD; LARGE SYSTEM; MID-FREQUENCY; NUMERICAL ACOUSTICS; NUMERICAL EXAMPLE; NUMERICAL PREDICTIONS; SCATTERING PROBLEMS; SOMMERFELD RADIATION CONDITION; TREFFTZ; UNBOUNDED DOMAIN; WAVE BASED METHOD;

EID: 77957606236     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (43)
  • 5
    • 0032851753 scopus 로고    scopus 로고
    • Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications
    • Bouillard, P.; Ihlenburg, F. (1999): Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications. Computer Methods in Applied Mechanicsand Engineering, vol.176, pp. 147-163.
    • (1999) Computer Methods in Applied Mechanicsand Engineering , vol.176 , pp. 147-163
    • Bouillard, P.1    Ihlenburg, F.2
  • 6
    • 9144231411 scopus 로고    scopus 로고
    • Direct and indirect approach of a desingularized boundary element formulation for acoustical problems
    • Callsen, S.; Von Estorff, O.; Zaleski, O. (2004): Direct and indirect approach of a desingularized boundary element formulation for acoustical problems. CMES:Computer Modeling in Engineering & Sciences, vol.6, pp. 421-430.
    • (2004) CMES:Computer Modeling in Engineering & Sciences , vol.6 , pp. 421-430
    • Callsen, S.1    Von Estorff, O.2    Zaleski, O.3
  • 7
    • 79960092341 scopus 로고    scopus 로고
    • University of Reading Math Preprint series 2008/09. from: Highly oscillatory problems: computation, theory and applications. Cambridge, Cambridge University Press
    • Chandler-Wilde, S. N.; Graham, I. G. (2009): Boundary integral methods in high-frequency scattering. University of Reading Math Preprint series 2008/09. from: Highly oscillatory problems: computation, theory and applications. Cambridge, Cambridge University Press; 2008.
    • (2009) Boundary Integral Methods in High-Frequency Scattering
    • Chandler-Wilde, S.N.1    Graham, I.G.2
  • 10
    • 0036663138 scopus 로고    scopus 로고
    • A computationally efficientprediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems
    • Desmet, W.; Van Hal, B.; Sas, P.; Vandepitte, D. (2002): A computationally efficientprediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems. Advances in Engineering Software, vol.33, pp. 527-540.
    • (2002) Advances in Engineering Software , vol.33 , pp. 527-540
    • Desmet, W.1    Van Hal, B.2    Sas, P.3    Vandepitte, D.4
  • 11
    • 84886212551 scopus 로고    scopus 로고
    • Computational absorbing boundaries
    • S. Marburg and B. Nolte, eds., Chapter 5, Berlin, Springer
    • Givoli, D (2008): Computational absorbing boundaries. Computational Acoustics of Noise Propagation in Fluids. S. Marburg and B. Nolte, eds., Chapter 5, pp. 145-166, Berlin, Springer, 2008.
    • (2008) Computational Acoustics of Noise Propagation in Fluids , pp. 145-166
    • Givoli, D.1
  • 12
    • 0004009546 scopus 로고    scopus 로고
    • Glassner, A. S.(Ed), Academic Press Ltd.,London, UK,UK
    • Glassner, A. S.(Ed): An introduction to ray tracing. Academic Press Ltd.,London, UK,UK.
    • An Introduction to Ray Tracing
  • 13
    • 30944443982 scopus 로고    scopus 로고
    • A survey of finite element methods for time-harmonic acoustics
    • Harari, I. (2006): A survey of finite element methods for time-harmonic acoustics. Computer Methods in Applied Mechanics and Engineering, vol.195, pp. 1594-1607.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 1594-1607
    • Harari, I.1
  • 15
    • 33749021121 scopus 로고    scopus 로고
    • On the evaluation of highly oscillatory integrals by analytic continuation
    • Huybrechs, D.; Vandewalle, S. (2006): On the evaluation of highly oscillatory integrals by analytic continuation. SIAM Journal on Numerical Analysis, pp. 1026-1048.
    • (2006) SIAM Journal on Numerical Analysis , pp. 1026-1048
    • Huybrechs, D.1    Vandewalle, S.2
  • 17
    • 76249124079 scopus 로고    scopus 로고
    • On solving the ill-conditioned system Ax = b: General-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales
    • Liu, C.-S.; Yeih, W.; Atluri, S.N. (2009): On solving the ill-conditioned system Ax = b: general-purpose conditioners obtained from the boundary-collocation solution of the Laplace equation, using Trefftz expansions with multiple length scales. CMES: Computer Modeling in Engineering & Sciences, vol.44, no.3, pp.281-311.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.44 , Issue.3 , pp. 281-311
    • Liu, C.-S.1    Yeih, W.2    Atluri, S.N.3
  • 18
    • 33846276584 scopus 로고    scopus 로고
    • Trefftz, collocation, and other boundary methods - A comparison
    • Li, Z. C.; Lu, T. T.; Huang, H. T.; Cheng, A. H. D. (2007): Trefftz, collocation, and other boundary methods - A comparison. Num. Meth. Par. Diff. Eq., vol.23, pp. 93-144.
    • (2007) Num. Meth. Par. Diff. Eq. , vol.23 , pp. 93-144
    • Li, Z.C.1    Lu, T.T.2    Huang, H.T.3    Cheng, A.H.D.4
  • 19
    • 36448938175 scopus 로고    scopus 로고
    • Perfectly matched layer for acoustic waveguide modeling -benchmark calculations and perturbation analysis
    • Lu, Y. Y.; Zhu, J. (2007): Perfectly matched layer for acoustic waveguide modeling -benchmark calculations and perturbation analysis. CMES: Computer Modeling in Engineering & Sciences, vol.22, pp. 235-1148
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , pp. 235-1148
    • Lu, Y.Y.1    Zhu, J.2
  • 20
    • 0032006860 scopus 로고    scopus 로고
    • An iterative solver of the Helmholtz integral equation for high-frequency acoustic scattering
    • Makarov, S. N.; Ochmann, M. (1997): An iterative solver of the Helmholtz integral equation for high-frequency acoustic scattering. Journal of the Acoustical Society of America, vol.103, pp. 742-750.
    • (1997) Journal of the Acoustical Society of America , vol.103 , pp. 742-750
    • Makarov, S.N.1    Ochmann, M.2
  • 21
    • 0036000820 scopus 로고    scopus 로고
    • Six boundary elements per wavelength: Is that enough?
    • Marburg, S. (2002): Six boundary elements per wavelength: is that enough? Journal ofComputational Acoustics, vol.10, pp. 25-51.
    • (2002) Journal ofComputational Acoustics , vol.10 , pp. 25-51
    • Marburg, S.1
  • 22
    • 0008582151 scopus 로고    scopus 로고
    • Numerical solution of nonlinear exterior wave problems using local absorbing boundary conditions
    • Patlashenko, I.; Givoli, D. (2000): Numerical solution of nonlinear exterior wave problems using local absorbing boundary conditions. CMES: Computer Modeling in Engineering & Sciences, vol.1, pp. 61-70.
    • (2000) CMES: Computer Modeling in Engineering & Sciences , vol.1 , pp. 61-70
    • Patlashenko, I.1    Givoli, D.2
  • 24
    • 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. (2005): On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis. CMES: Computer Modeling in Engineering & Sciences, vol.7, no.2, pp. 173-184.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.7 , Issue.2 , pp. 173-184
    • Pluymers, B.1    Desmet, W.2    Vandepitte, D.3    Sas, P.4
  • 26
    • 4344677020 scopus 로고    scopus 로고
    • Non-hyper-singular boundary integral equations for acoustic problems, implemented by the collocation-based boundary element method
    • Qian, Z.; Han, Z.; Ufimtsev, P.; Atluri, S. (2004): Non-hyper-singular boundary integral equations for acoustic problems, implemented by the collocation-based boundary element method. CMES: Computer Modeling in Engineering & Sciences, vol.6, pp. 133-144.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , pp. 133-144
    • Qian, Z.1    Han, Z.2    Ufimtsev, P.3    Atluri, S.4
  • 27
    • 77957583158 scopus 로고    scopus 로고
    • A wave-based prediction technique for vibroacoustics: Comparison with the finite-element technique and experimental validation
    • Sas, P.; Desmet, W.; Vandepitte, D. (1998): A wave-based prediction technique for vibroacoustics: Comparison with the finite-element technique and experimental validation. Journal of the Acoustical Society of America, vol.103, pp. 2770.
    • (1998) Journal of the Acoustical Society of America , vol.103 , pp. 2770
    • Sas, P.1    Desmet, W.2    Vandepitte, D.3
  • 29
    • 67049142856 scopus 로고    scopus 로고
    • Large-scale full wave analysis of electromagnetic field by hierarchical domain decomposition method
    • Takei, A.; Yoshimura, S.; Kanayama, H. (2009): Large-scale full wave analysis of electromagnetic field by hierarchical domain decomposition method. CMES: Computer Modeling in Engineering & Sciences, vol.40, pp. 63-82.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.40 , pp. 63-82
    • Takei, A.1    Yoshimura, S.2    Kanayama, H.3
  • 30
    • 33644650994 scopus 로고    scopus 로고
    • A review of finite element methods for time-harmonic acoustics
    • Thompson, L. L. (2006): A review of finite element methods for time-harmonic acoustics. Journal of the Acoustical Society of America, vol.119, pp. 1315-1330.
    • (2006) Journal of the Acoustical Society of America , vol.119 , pp. 1315-1330
    • Thompson, L.L.1
  • 31
    • 0002385765 scopus 로고
    • Ein Gegenstück zum ritzschen verfahren
    • Zurich, Switzerland
    • Trefftz, E. (1926): Ein Gegenstück zum Ritzschen Verfahren. In Proceedings of the 2nd International Congress on Applied Mechanics, Zurich, Switzerland, pp. 131-137.
    • (1926) nd International Congress on Applied Mechanics , pp. 131-137
    • Trefftz, E.1
  • 32
    • 77951210270 scopus 로고    scopus 로고
    • On adaptive definition of the plane wave basis forwave boundary elements in acoustic scattering: The 2D case
    • Trevelyan, J.; Coates, G. (2010): On adaptive definition of the plane wave basis forwave boundary elements in acoustic scattering: the 2D case. CMES: Computer Modeling in Engineering & Sciences, vol.55, no.2, pp.147-168.
    • (2010) CMES: Computer Modeling in Engineering & Sciences , vol.55 , Issue.2 , pp. 147-168
    • Trevelyan, J.1    Coates, G.2
  • 33
  • 34
    • 77954143738 scopus 로고    scopus 로고
    • A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations
    • Van Genechten, B.; Bergen, B.; Vandepitte, D.; Desmet, W. (2010): A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple-scatterer configurations. Journal of Computational Physics vol. 229, no.18, pp. 6623-6643.
    • (2010) Journal of Computational Physics , vol.229 , Issue.18 , pp. 6623-6643
    • Van Genechten, B.1    Bergen, B.2    Vandepitte, D.3    Desmet, W.4
  • 35
    • 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
    • Van Genechten, B.; Vergote, K.; Vandepitte, D.; Desmet, W. (2010): 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, vol.199, no.29-32, pp. 1881-1905.
    • (2010) Computer Methods in Applied Mechanics and Engineering , vol.199 , Issue.29-32 , pp. 1881-1905
    • Van Genechten, B.1    Vergote, K.2    Vandepitte, D.3    Desmet, W.4
  • 38
    • 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. (2009): An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities. Computer Methods in Applied Mechanics and Engineering, vol.198, no.30-32, pp. 2227 - 2245.
    • (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
  • 39
    • 0002434551 scopus 로고
    • A practical examination of some numerical methods for linear discrete ill-posed problems
    • Varah, J.M. (1979): A practical examination of some numerical methods for linear discrete ill-posed problems. SIAM Review, vol.21, pp. 100-111.
    • (1979) SIAM Review , vol.21 , pp. 100-111
    • Varah, J.M.1
  • 41
    • 15544379149 scopus 로고    scopus 로고
    • Method of fundamental solutions for scattering problems of electromagnetic waves
    • Young, D. L.; Ruan J.W. (2005): Method of fundamental solutions for scattering problems of electromagnetic waves. CMES: Computer Modeling in Engineering & Sciences, vol.7, pp. 223- 232.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.7 , pp. 223-232
    • Young, D.L.1    Ruan, J.W.2
  • 42
    • 26844477407 scopus 로고    scopus 로고
    • Dispersion-reducing finite elements for transient acoustics
    • Yue, B.; Guddati, M. N. (2005): Dispersion-reducing finite elements for transient acoustics. Journal of the Acoustical Society of America, vol.118, pp. 2132-2141.
    • (2005) Journal of the Acoustical Society of America , vol.118 , pp. 2132-2141
    • Yue, B.1    Guddati, M.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.