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Full paper

Using the method of fundamental solutions in conjunction with the degenerate kernel in cylindrical acoustic problems

Pages 445-457 | Received 05 Jan 2005, Accepted 30 Jun 2005, Published online: 04 Mar 2011

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Antoine Lavie & Alexandre Leblanc. (2010) Integral equation methods with unique solution for all wavenumbers applied to acoustic radiation. European Journal of Computational Mechanics 19:5-7, pages 619-636.
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Li-Ping Zhang, Zi-Cai Li, Yimin Wei & Hung-Tsai Huang. (2022) Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains. Numerical Algorithms 91:2, pages 895-932.
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Li-Ping Zhang, Zi-Cai Li, Hung-Tsai Huang & Yimin Wei. (2019) The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals. Applied Numerical Mathematics 145, pages 236-260.
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Jia-Wei Lee, Jeng-Tzong Chen & Chi-Feng Nien. (2019) Indirect boundary element method combining extra fundamental solutions for solving exterior acoustic problems with fictitious frequencies. The Journal of the Acoustical Society of America 145:5, pages 3116-3132.
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Jeng-Tzong Chen, Jheng-Lin Yang, Ying-Te Lee & Yu-Lung Chang. (2014) Formulation of the MFS for the two-dimensional Laplace equation with an added constant and constraint. Engineering Analysis with Boundary Elements 46, pages 96-107.
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I. L. CHENY. T. LEEP. S. KUOJ. T. CHEN. (2013) ON THE TRUE AND SPURIOUS EIGENVALUES BY USING THE REAL OR THE IMAGINARY-PART OF THE METHOD OF FUNDAMENTAL SOLUTIONS. International Journal of Computational Methods 10:02, pages 1341003.
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A. Karageorghis, B.T. Johansson & D. Lesnic. (2012) The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. Applied Numerical Mathematics 62:12, pages 1767-1780.
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A. Karageorghis & D. Lesnic. (2012) A meshless numerical identification of a sound-hard obstacle. Engineering Analysis with Boundary Elements 36:7, pages 1074-1081.
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B. Nennig, E. Perrey-Debain & J.-D. Chazot. (2011) The method of fundamental solutions for acoustic wave scattering by a single and a periodic array of poroelastic scatterers. Engineering Analysis with Boundary Elements 35:8, pages 1019-1028.
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Jeng-Tzong Chen, Ying-Te Lee & Yi-Jhou Lin. (2010) Analysis of mutiple-shepers radiation and scattering problems by using a null-field integral equation approach. Applied Acoustics 71:8, pages 690-700.
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Wen Chen, Jisong Shi & Lin Chen. (2009) Investigation on the spurious eigenvalues of vibration plates by non-dimensional dynamic influence function method. Engineering Analysis with Boundary Elements 33:6, pages 885-889.
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J.T. Chen, I.L. Chen & Y.T. Lee. (2008) Comments on “The boundary point method for the calculation of exterior acoustic radiation problem” [S.Y. Zhang, X.Z. Chen, Journal of Sound and Vibration 228(4) (1999) 761–772]. Journal of Sound and Vibration 310:4-5, pages 1167-1169.
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J.T. Chen, C.T. Chen, P.Y. Chen & I.L. Chen. (2007) A semi-analytical approach for radiation and scattering problems with circular boundaries. Computer Methods in Applied Mechanics and Engineering 196:25-28, pages 2751-2764.
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