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Volumn 22, Issue 6, 1999, Pages 729-740

A nonsingular integral formulation for the Helmholtz eigenproblems of a circular domain

Author keywords

Bessel function and Helmholtz equation; Imaginary part dual BEM; Spurious eigenvalues and eigenmodes

Indexed keywords

BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MODAL ANALYSIS; PROBLEM SOLVING; SPECTRUM ANALYSIS;

EID: 0033365105     PISSN: 02533839     EISSN: 21587299     Source Type: Journal    
DOI: 10.1080/02533839.1999.9670509     Document Type: Article
Times cited : (19)

References (26)
  • 1
    • 0032154169 scopus 로고    scopus 로고
    • On Fictitious Frequencies Using Dual Series Representation
    • Chen, J.T., 1998. “On Fictitious Frequencies Using Dual Series Representation,”. Mechanics Research Communications, 25:529–534.
    • (1998) Mechanics Research Communications , vol.25 , pp. 529-534
    • Chen, J.T.1
  • 3
    • 0032022002 scopus 로고    scopus 로고
    • Dual Integral Formulation for Determining the Acoustic Modes of a Two-dimensional Cavity with a Degenerate Boundary
    • Chen, J.T., and Chen, K.H., 1998. “Dual Integral Formulation for Determining the Acoustic Modes of a Two-dimensional Cavity with a Degenerate Boundary”. Engineering Analysis with Boundary Elements, 21:105–116.
    • (1998) Engineering Analysis with Boundary Elements , vol.21 , pp. 105-116
    • Chen, J.T.1    Chen, K.H.2
  • 4
    • 9744258954 scopus 로고    scopus 로고
    • Numerical Experiments for Acoustic Modes of a Square Cavity using Dual BEM
    • Chen, J.T., Chen, K.H., and Chyuan, S.W., 1999a. “Numerical Experiments for Acoustic Modes of a Square Cavity using Dual BEM,”. Appl. Acoust., 57:293–325.
    • (1999) Appl. Acoust. , vol.57 , pp. 293-325
    • Chen, J.T.1    Chen, K.H.2    Chyuan, S.W.3
  • 5
    • 0003489571 scopus 로고
    • 2nd Ed., Taipei, Taiwan: New World Press, (in Chinese)
    • Chen, J.T., and Hong, H.-K., 1992. Boundary element method, 2nd Ed., Taipei, Taiwan:New World Press. (in Chinese)
    • (1992) Boundary element method
    • Chen, J.T.1    Hong, H.-K.2
  • 6
    • 0001799089 scopus 로고    scopus 로고
    • Review of Dual Integral Representations with Emphasis on Hypersingular Integrals and Divergent Series
    • Chen, J.T., and Hong, H.-K., 1999. “Review of Dual Integral Representations with Emphasis on Hypersingular Integrals and Divergent Series”. Transactions of ASME, Applied Mechanics Reviews, 52:17–33.
    • (1999) Transactions of ASME, Applied Mechanics Reviews , vol.52 , pp. 17-33
    • Chen, J.T.1    Hong, H.-K.2
  • 7
    • 0032669511 scopus 로고    scopus 로고
    • Determination of Spurious Eigenvalues and Multiplicities of True Eigenvalues Using the Real-part Dual BEM
    • Chen, J.T., Huang, C.X., and Chen, K.H., 1999b. “Determination of Spurious Eigenvalues and Multiplicities of True Eigenvalues Using the Real-part Dual BEM,”. Computational Mechanics, 24:41–51.
    • (1999) Computational Mechanics , vol.24 , pp. 41-51
    • Chen, J.T.1    Huang, C.X.2    Chen, K.H.3
  • 8
    • 85023961678 scopus 로고    scopus 로고
    • Determination of Spurious Eigenvalues and Multiplicities of True Eigenvalues in the Dual Multiple Reciprocity Method Using the Singular Value Decomposition Technique
    • Accepted
    • Chen, J.T., Huang, C.X., and Wong, F.C., 1999b. “Determination of Spurious Eigenvalues and Multiplicities of True Eigenvalues in the Dual Multiple Reciprocity Method Using the Singular Value Decomposition Technique,”. Journal of Sound and Vibration, Accepted.
    • (1999) Journal of Sound and Vibration
    • Chen, J.T.1    Huang, C.X.2    Wong, F.C.3
  • 10
    • 0033362058 scopus 로고    scopus 로고
    • Dual Boundary Element Analysis of Wave Scattering from Singularities
    • Chen, J.T., Liang, M.T., Chen, I.L., Chyuan, S.W., and Chen, K.H., 1999c. “Dual Boundary Element Analysis of Wave Scattering from Singularities,”. Wave Motion, 30:367–381.
    • (1999) Wave Motion , vol.30 , pp. 367-381
    • Chen, J.T.1    Liang, M.T.2    Chen, I.L.3    Chyuan, S.W.4    Chen, K.H.5
  • 11
    • 0031176257 scopus 로고    scopus 로고
    • Analytical Derivations for One-dimensional Eigenproblems Using Dual BEM and MRM
    • Chen, J.T., and Wong, F.C., 1997. “Analytical Derivations for One-dimensional Eigenproblems Using Dual BEM and MRM,”. Engineering Analysis with Boundary Elements, 20:25–33.
    • (1997) Engineering Analysis with Boundary Elements , vol.20 , pp. 25-33
    • Chen, J.T.1    Wong, F.C.2
  • 12
    • 0032180927 scopus 로고    scopus 로고
    • Dual Formulation of Multiple Reciprocity Method for the Acoustic Mode of a Cavity with a Thin Partition
    • Chen, J.T., and Wong, F.C., 1998. “Dual Formulation of Multiple Reciprocity Method for the Acoustic Mode of a Cavity with a Thin Partition,”. Journal of Sound and Vibration, 217:75–95.
    • (1998) Journal of Sound and Vibration , vol.217 , pp. 75-95
    • Chen, J.T.1    Wong, F.C.2
  • 13
    • 0040429707 scopus 로고    scopus 로고
    • Dual Boundary Element Analysis for an Acoustic Cavity with an Incomplete Partition
    • (in Chinese)
    • Chen, K.H., Chen, J.T., and Liou, D.Y., 1998. “Dual Boundary Element Analysis for an Acoustic Cavity with an Incomplete Partition,”. Chinese J. Mech., 14:1–14. (in Chinese)
    • (1998) Chinese J. Mech. , vol.14 , pp. 1-14
    • Chen, K.H.1    Chen, J.T.2    Liou, D.Y.3
  • 15
    • 84985331000 scopus 로고
    • A Simplified Integral Equation Method for the Calculation of the Eigenvalues of Helmholtz Equation
    • De Mey, G., 1977. “A Simplified Integral Equation Method for the Calculation of the Eigenvalues of Helmholtz Equation,”. International Journal Numerical Methods in Engineering, 11:1340–1342.
    • (1977) International Journal Numerical Methods in Engineering , vol.11 , pp. 1340-1342
    • De Mey, G.1
  • 17
    • 0003229698 scopus 로고
    • Vibration of Plates
    • Brebbia C.A., (ed), Berlin: Springer-Verlag
    • Hutchinson, J.R., 1988. “Vibration of Plates”. In Boundary Elements X, Edited by:Brebbia, C. A., Vol.4, 415–430. Berlin:Springer-Verlag.
    • (1988) Boundary Elements X , vol.4 , pp. 415-430
    • Hutchinson, J.R.1
  • 18
    • 0000080532 scopus 로고
    • An Alternative BEM Formulation Applied to Membrane Vibrations
    • Brebbia C.A., Maier G., (eds), Springer-Verlag
    • Hutchinson, J.R., 1985. “An Alternative BEM Formulation Applied to Membrane Vibrations”. In Boundary Elements VII, Edited by:Brebbia, C. A., and Maier, G., Springer-Verlag.
    • (1985) Boundary Elements VII
    • Hutchinson, J.R.1
  • 19
    • 0005077083 scopus 로고
    • Analysis of Plates and Shells by Boundary Collocation
    • Beskos D.E., (ed), Berlin: Springer-Verlag
    • Hutchinson, J.R., 1991. “Analysis of Plates and Shells by Boundary Collocation,”. In Boundary Element Analysis of Plates and Shells, Edited by:Beskos, D. E., 314–368. Berlin:Springer-Verlag.
    • (1991) Boundary Element Analysis of Plates and Shells , pp. 314-368
    • Hutchinson, J.R.1
  • 20
    • 0030214179 scopus 로고    scopus 로고
    • A New Complex-valued Formulation and Eigenvalue Analysis of the Helmholtz Equation by Boundary Element Method
    • Kamiya, N., Andoh, E., and Nogae, K., 1996. “A New Complex-valued Formulation and Eigenvalue Analysis of the Helmholtz Equation by Boundary Element Method,”. Advances in Engineering Software, 26:219–227.
    • (1996) Advances in Engineering Software , vol.26 , pp. 219-227
    • Kamiya, N.1    Andoh, E.2    Nogae, K.3
  • 21
    • 0003156042 scopus 로고    scopus 로고
    • A New Method for Determining the Acoustic Modes of a Two-dimensional Sound Field
    • (in Chinese)
    • Liou, D.Y., Chen, J.T., and Chen, K.H., 1999. “A New Method for Determining the Acoustic Modes of a Two-dimensional Sound Field,”. Journal of Chinese Institute of Civil and Hydraulic Engineering, 11 (2):89–100. (in Chinese)
    • (1999) Journal of Chinese Institute of Civil and Hydraulic Engineering , vol.11 , Issue.2 , pp. 89-100
    • Liou, D.Y.1    Chen, J.T.2    Chen, K.H.3
  • 23
    • 0016103212 scopus 로고
    • Helmholtz Equation Eigenvalues and Eigenmodes for Arbitrary Domains
    • Tai, G R.G., and Shaw, R.P., 1974. “Helmholtz Equation Eigenvalues and Eigenmodes for Arbitrary Domains,”. Journal of Acoustical Society of America, 56:796–804.
    • (1974) Journal of Acoustical Society of America , vol.56 , pp. 796-804
    • Tai, G.R.G.1    Shaw, R.P.2
  • 24
    • 0031601033 scopus 로고    scopus 로고
    • A Study on the Multiple Reciprocity Method and Complex-valued Formulation for the Helmholtz Equation
    • Yeih, W., Chen, J.T., Chen, K.H., and Wong, F.C., 1997. “A Study on the Multiple Reciprocity Method and Complex-valued Formulation for the Helmholtz Equation,”. Advances in Engineering Software, 29:1–6.
    • (1997) Advances in Engineering Software , vol.29 , pp. 1-6
    • Yeih, W.1    Chen, J.T.2    Chen, K.H.3    Wong, F.C.4
  • 25
    • 0032686147 scopus 로고    scopus 로고
    • Applications of Dual MRM for Determining the Natural Frequencies and Natural Modes of a Rod Using the Singular Value Decomposition Method
    • Yeih, W., Chang, J.R., Chang, C.M., and Chen, J.T., 1999. “Applications of Dual MRM for Determining the Natural Frequencies and Natural Modes of a Rod Using the Singular Value Decomposition Method,”. Advances in Engineering Software, 30 (7):459–468.
    • (1999) Advances in Engineering Software , vol.30 , Issue.7 , pp. 459-468
    • Yeih, W.1    Chang, J.R.2    Chang, C.M.3    Chen, J.T.4
  • 26
    • 0033116128 scopus 로고    scopus 로고
    • Applications of Dual MRM for Determining the Natural Frequencies and Natural Modes of an Euler-Bernoulli Beam Using the Singular Value Decomposition Method
    • Yeih, W., Chen, J.T., and Chang, C.M., 1999. “Applications of Dual MRM for Determining the Natural Frequencies and Natural Modes of an Euler-Bernoulli Beam Using the Singular Value Decomposition Method,”. Engineering Analysis with Boundary Elements, 23:339–360.
    • (1999) Engineering Analysis with Boundary Elements , vol.23 , pp. 339-360
    • Yeih, W.1    Chen, J.T.2    Chang, C.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.