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Volumn 324, Issue 3-5, 2009, Pages 1086-1110

Numerical analysis of acoustic modes using the linear least squares method of fundamental solutions

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC MODE; ANALYTICAL SOLUTIONS; BOUNDARY DATA; BOUNDARY POINTS; EIGEN MODES; EIGEN-PROBLEMS; EIGENVALUES; IRREGULAR BOUNDARY; LINEAR LEAST-SQUARES METHOD; MESHLESS; MESHLESS NUMERICAL METHOD; METHOD OF FUNDAMENTAL SOLUTIONS; MODE SHAPES; NUMERICAL EXPERIMENTS; NUMERICAL SCHEME; SEARCH METHOD; SOURCE LOCATION; SOURCE POINTS;

EID: 67349131537     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.02.032     Document Type: Article
Times cited : (12)

References (31)
  • 1
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: theory and applications to non-spherical stars
    • Gingold R.A., and Maraghan J.J. Smoothed particle hydrodynamics: theory and applications to non-spherical stars. Mon. Not. R. Astron. Soc. 181 (1977) 375-389
    • (1977) Mon. Not. R. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Maraghan, J.J.2
  • 2
    • 33748444430 scopus 로고
    • The method of functional equations for the approximate solution of certain boundary value problems
    • Kupradze V.D., and Aleksidze M.A. The method of functional equations for the approximate solution of certain boundary value problems. USSR Comput. Math. Math. Phys. 4 4 (1964) 82-126
    • (1964) USSR Comput. Math. Math. Phys. , vol.4 , Issue.4 , pp. 82-126
    • Kupradze, V.D.1    Aleksidze, M.A.2
  • 3
    • 0000678579 scopus 로고
    • The approximate solution of elliptic boundary-value problems by fundamental solutions
    • Mathon R., and Johnston R.L. The approximate solution of elliptic boundary-value problems by fundamental solutions. SIAM J. Numer. Anal. 14 (1977) 638-650
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 638-650
    • Mathon, R.1    Johnston, R.L.2
  • 4
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny A. Fundamental solutions method for elliptic boundary value problems. SIAM J. Numer. Anal. 22 (1985) 644-669
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 644-669
    • Bogomolny, A.1
  • 5
    • 0021469878 scopus 로고
    • The method of fundamental solutions for problems in potential flow
    • Johnston R.L., and Fairweather G. The method of fundamental solutions for problems in potential flow. Appl. Math. Modelling 8 (1984) 265-270
    • (1984) Appl. Math. Modelling , vol.8 , pp. 265-270
    • Johnston, R.L.1    Fairweather, G.2
  • 6
    • 0001705710 scopus 로고
    • The method of fundamental solutions for the numerical solution of the biharmonic equation
    • Karageorghis A., and Fairweather G. The method of fundamental solutions for the numerical solution of the biharmonic equation. J. Compu. Phys. 69 (1987) 434-459
    • (1987) J. Compu. Phys. , vol.69 , pp. 434-459
    • Karageorghis, A.1    Fairweather, G.2
  • 7
    • 0029388503 scopus 로고
    • The method of fundamental solutions for Poisson's equation
    • Golberg M.A. The method of fundamental solutions for Poisson's equation. Eng. Anal. Bound. Elem. 16 (1995) 205-213
    • (1995) Eng. Anal. Bound. Elem. , vol.16 , pp. 205-213
    • Golberg, M.A.1
  • 9
    • 26844562479 scopus 로고    scopus 로고
    • Method of fundamental solutions for Stokes flows in a rectangular cavity with cylinders
    • Young D.L., Chen C.W., Fan C.M., Murugesan K., and Tsai C.C. Method of fundamental solutions for Stokes flows in a rectangular cavity with cylinders. Euro. J. Mech. B: Fluid 24 (2005) 703-716
    • (2005) Euro. J. Mech. B: Fluid , vol.24 , pp. 703-716
    • Young, D.L.1    Chen, C.W.2    Fan, C.M.3    Murugesan, K.4    Tsai, C.C.5
  • 11
    • 3142765994 scopus 로고    scopus 로고
    • Direct approach to solve nonhomogeneous diffusion problems using fundamental solutions and dual reciprocity methods
    • Young D.L., Tsai C.C., and Fan C.M. Direct approach to solve nonhomogeneous diffusion problems using fundamental solutions and dual reciprocity methods. J. Chin. Inst. Eng. 27 4 (2004) 597-609
    • (2004) J. Chin. Inst. Eng. , vol.27 , Issue.4 , pp. 597-609
    • Young, D.L.1    Tsai, C.C.2    Fan, C.M.3
  • 12
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • Golberg M.A. (Ed), Computational Mechanics Publication, Southampton, Boston
    • Golberg M.A., and Chen C.S. The method of fundamental solutions for potential, Helmholtz and diffusion problems. In: Golberg M.A. (Ed). Boundary Integral Methods: Numerical and Mathematical Aspects (1998), Computational Mechanics Publication, Southampton, Boston
    • (1998) Boundary Integral Methods: Numerical and Mathematical Aspects
    • Golberg, M.A.1    Chen, C.S.2
  • 13
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather G., and Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math. 9 (1998) 69-95
    • (1998) Adv. Comput. Math. , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 14
    • 0041621774 scopus 로고    scopus 로고
    • The method of fundamental solutions for scattering and radiation problems
    • Fairweather G., Karageorghis A., and Martin P.A. The method of fundamental solutions for scattering and radiation problems. Eng. Anal. Bound. Elem. 27 (2003) 759-769
    • (2003) Eng. Anal. Bound. Elem. , vol.27 , pp. 759-769
    • Fairweather, G.1    Karageorghis, A.2    Martin, P.A.3
  • 15
    • 0036498062 scopus 로고    scopus 로고
    • Numerical comparisons of two meshless methods using radial basis function
    • Li J., Hon Y.C., and Chen C.S. Numerical comparisons of two meshless methods using radial basis function. Eng. Anal. Bound. Elem. 26 (2002) 205-225
    • (2002) Eng. Anal. Bound. Elem. , vol.26 , pp. 205-225
    • Li, J.1    Hon, Y.C.2    Chen, C.S.3
  • 16
    • 0026651666 scopus 로고
    • Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions
    • Kondapalli P.S., Shippy D.J., and Fairweather G. Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions. J. Acoust. Soc. Am. 91 4 (1992) 1844-1854
    • (1992) J. Acoust. Soc. Am. , vol.91 , Issue.4 , pp. 1844-1854
    • Kondapalli, P.S.1    Shippy, D.J.2    Fairweather, G.3
  • 17
    • 0035479857 scopus 로고    scopus 로고
    • The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
    • Karageorghis A. The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Applied Math. Letters 14 (2001) 837-842
    • (2001) Applied Math. Letters , vol.14 , pp. 837-842
    • Karageorghis, A.1
  • 18
    • 13844255682 scopus 로고    scopus 로고
    • Eigensolutions of multiply connected membranes using the method of fundamental solutions
    • Chen J.T., Chen I.L., and Lee Y.T. Eigensolutions of multiply connected membranes using the method of fundamental solutions. Eng. Anal. Bound. Elem. 29 (2005) 166-174
    • (2005) Eng. Anal. Bound. Elem. , vol.29 , pp. 166-174
    • Chen, J.T.1    Chen, I.L.2    Lee, Y.T.3
  • 19
    • 33749371883 scopus 로고    scopus 로고
    • The method of fundamental solutions for eigenproblems in domains with and without interior holes
    • Tsai C.C., Young D.L., Chen C.W., and Fan C.M. The method of fundamental solutions for eigenproblems in domains with and without interior holes. Proc. R. Soc. A 462 (2006) 1443-1466
    • (2006) Proc. R. Soc. A , vol.462 , pp. 1443-1466
    • Tsai, C.C.1    Young, D.L.2    Chen, C.W.3    Fan, C.M.4
  • 20
    • 32544436589 scopus 로고    scopus 로고
    • The method of fundamental solutions for Helmholtz eigenvalues problems in simply and multiply connected domains
    • Reutskiy S.Yu. The method of fundamental solutions for Helmholtz eigenvalues problems in simply and multiply connected domains. Eng. Anal. Bound. Elem. 30 (2006) 150-159
    • (2006) Eng. Anal. Bound. Elem. , vol.30 , pp. 150-159
    • Reutskiy, S.Yu.1
  • 21
    • 18144429438 scopus 로고    scopus 로고
    • Numerical comparison of two meshfree methods for acoustic wave scattering
    • Alves C.J.S., and Valtchev S.S. Numerical comparison of two meshfree methods for acoustic wave scattering. Eng. Anal. Bound. Elem. 29 (2005) 371-382
    • (2005) Eng. Anal. Bound. Elem. , vol.29 , pp. 371-382
    • Alves, C.J.S.1    Valtchev, S.S.2
  • 22
    • 0000968073 scopus 로고    scopus 로고
    • Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function
    • Kang S.W., Lee J.M., and Kang Y.J. Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function. J. Sound Vib. 221 (1999) 117-132
    • (1999) J. Sound Vib. , vol.221 , pp. 117-132
    • Kang, S.W.1    Lee, J.M.2    Kang, Y.J.3
  • 23
    • 0034227638 scopus 로고    scopus 로고
    • Application of free vibration analysis of membranes using the non-dimensional dynamic influence function
    • Kang S.W., and Lee J.M. Application of free vibration analysis of membranes using the non-dimensional dynamic influence function. J. Sound Vib. 234 3 (2000) 455-470
    • (2000) J. Sound Vib. , vol.234 , Issue.3 , pp. 455-470
    • Kang, S.W.1    Lee, J.M.2
  • 24
    • 0035912162 scopus 로고    scopus 로고
    • Free vibration analysis of arbitrary shaped plates with clamped edges using wave-type function
    • Kang S.W., and Lee J.M. Free vibration analysis of arbitrary shaped plates with clamped edges using wave-type function. J. Sound Vib. 242 1 (2001) 9-26
    • (2001) J. Sound Vib. , vol.242 , Issue.1 , pp. 9-26
    • Kang, S.W.1    Lee, J.M.2
  • 25
    • 0034249362 scopus 로고    scopus 로고
    • Comments on "Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function"
    • Chen J.T., Kuo S.R., Chen K.H., and Cheng Y.C. Comments on "Vibration analysis of arbitrary shaped membranes using non-dimensional dynamic influence function". J. Sound Vib. 235 1 (2000) 156-171
    • (2000) J. Sound Vib. , vol.235 , Issue.1 , pp. 156-171
    • Chen, J.T.1    Kuo, S.R.2    Chen, K.H.3    Cheng, Y.C.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. Applications of dual MRM for determining the natural frequencies and natural modes of an Euler-Bernoulli beam using the singular value decomposition method. Eng. Anal. Bound. Elem. 23 (1999) 339-360
    • (1999) Eng. Anal. Bound. Elem. , vol.23 , pp. 339-360
    • Yeih, W.1    Chen, J.T.2    Chang, C.M.3
  • 27
    • 0033734398 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
    • Chen J.T., Huang C.X., and Wong F.C. Determination of spurious eigenvalues and multiplicities of true eigenvalues in the dual multiple reciprocity method using the singular-value decomposition technique. J. Sound Vib. 230 2 (2000) 203-219
    • (2000) J. Sound Vib. , vol.230 , Issue.2 , pp. 203-219
    • Chen, J.T.1    Huang, C.X.2    Wong, F.C.3
  • 28
    • 0019681394 scopus 로고
    • Condition number of matrices derived from two classes of integral equations
    • Lyngby S.C. Condition number of matrices derived from two classes of integral equations. Math. Meth. Applied Sci. 3 (1981) 364-392
    • (1981) Math. Meth. Applied Sci. , vol.3 , pp. 364-392
    • Lyngby, S.C.1
  • 29
    • 9744258954 scopus 로고    scopus 로고
    • Numerical experiments for acoustic modes of a square cavity using the dual boundary element method
    • Chen J.T., Chen K.H., and Chyuan S.W. Numerical experiments for acoustic modes of a square cavity using the dual boundary element method. Appl. Acoust. 57 (1999) 293-325
    • (1999) Appl. Acoust. , vol.57 , pp. 293-325
    • Chen, J.T.1    Chen, K.H.2    Chyuan, S.W.3
  • 30
    • 4043146474 scopus 로고    scopus 로고
    • A linear least-squares MFS for certain elliptic problems
    • Smyrlis Y.S., and Karageorghis A. A linear least-squares MFS for certain elliptic problems. Numer. Algor. 35 (2004) 29-44
    • (2004) Numer. Algor. , vol.35 , pp. 29-44
    • Smyrlis, Y.S.1    Karageorghis, A.2
  • 31
    • 31544464942 scopus 로고    scopus 로고
    • The method of fundamental solutions and domain decomposition method for degenerate seepage flownet problems
    • Young D.L., Fan C.M., Tsai C.C., and Chen C.W. The method of fundamental solutions and domain decomposition method for degenerate seepage flownet problems. J. Chin. Inst. Eng. 29 1 (2006) 63-73
    • (2006) J. Chin. Inst. Eng. , vol.29 , Issue.1 , pp. 63-73
    • Young, D.L.1    Fan, C.M.2    Tsai, C.C.3    Chen, C.W.4


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