메뉴 건너뛰기




Volumn 13, Issue 1, 2005, Pages 21-45

Cat's eye radiation with boundary elements: Comparative study on treatment of irregular frequencies

Author keywords

Boundary element methods; Burton and Miller method; CHIEF; Discontinuous boundary elements; External acoustics; Irregular frequencies; Numerical integration schemes; Rosen's method

Indexed keywords


EID: 18644363089     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X05002566     Document Type: Conference Paper
Times cited : (57)

References (46)
  • 1
    • 0022813289 scopus 로고
    • An iterative method for the boundary element solution of the exterior acoustic problem
    • S. Amini, An iterative method for the boundary element solution of the exterior acoustic problem, J. Comput. Appl. Math. 20 (1987) 109-117.
    • (1987) J. Comput. Appl. Math. , vol.20 , pp. 109-117
    • Amini, S.1
  • 2
    • 0002749845 scopus 로고
    • On the choice of the coupling parameter in boundary integral formulations, of the exterior acoustics problem
    • S. Amini, On the choice of the coupling parameter in boundary integral formulations, of the exterior acoustics problem, Applicable Anal. 35 (1990) 75-92.
    • (1990) Applicable Anal. , vol.35 , pp. 75-92
    • Amini, S.1
  • 3
    • 38249022528 scopus 로고
    • Conjugate gradient method for second kind integral equations - Applications to the exterior acoustic problem
    • S. Amini and C. Ke, Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, Eng. Anal. Boundary Elements 6(2) (1989) 72-77.
    • (1989) Eng. Anal. Boundary Elements , vol.6 , Issue.2 , pp. 72-77
    • Amini, S.1    Ke, C.2
  • 4
    • 0025420025 scopus 로고
    • Iterative solution of boundary element equations for the exterior Helmholtz problem
    • S. Amini, C. Ke and P. J. Harris, Iterative solution of boundary element equations for the exterior Helmholtz problem, J. Vib. Acoust. 112 (1990) 257-262.
    • (1990) J. Vib. Acoust. , vol.112 , pp. 257-262
    • Amini, S.1    Ke, C.2    Harris, P.J.3
  • 5
    • 0032021403 scopus 로고    scopus 로고
    • Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation
    • S. Amini and N. D. Maines, Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation, Int. J. Numerical Meth. Engrg. 41 (1998) 875-898.
    • (1998) Int. J. Numerical Meth. Engrg. , vol.41 , pp. 875-898
    • Amini, S.1    Maines, N.D.2
  • 7
    • 0000204968 scopus 로고
    • Über das Dirichlet'sche Außenraumproblem für die Helmholtz'sche Schwingungsgleichung
    • H. Brakhage and P. Werner, Über das Dirichlet'sche Außenraumproblem für die Helmholtz'sche Schwingungsgleichung, Archiv der Mathematik 16 (1965) 325-329.
    • (1965) Archiv der Mathematik , vol.16 , pp. 325-329
    • Brakhage, H.1    Werner, P.2
  • 9
    • 0000181954 scopus 로고
    • The application of integral equation methods to the numerical solution of some exterior boundary-value problems
    • A. J. Burton and G. F. Miller, The application of integral equation methods to the numerical solution of some exterior boundary-value problems, Proc. Royal Soc. London 323 (1971) 201-220.
    • (1971) Proc. Royal Soc. London , vol.323 , pp. 201-220
    • Burton, A.J.1    Miller, G.F.2
  • 10
    • 0025102231 scopus 로고
    • An effective method for solving the hypersingular integral equations in 3-d acoustics
    • C. C. Chien, H. Rajiyah and S. N. Atluri, An effective method for solving the hypersingular integral equations in 3-d acoustics, J. Acoust. Soc. Am. 88(2) (1990) 918-937.
    • (1990) J. Acoust. Soc. Am. , vol.88 , Issue.2 , pp. 918-937
    • Chien, C.C.1    Rajiyah, H.2    Atluri, S.N.3
  • 11
    • 0004209442 scopus 로고
    • Computational Mechanics Publications and Elsevier Applied Science (Southampton Boston)
    • R. D. Ciskowski and C. A. Brebbia, Boundary Elements in Acoustics, in Computational Mechanics Publications and Elsevier Applied Science (Southampton Boston, 1991).
    • (1991) Boundary Elements in Acoustics
    • Ciskowski, R.D.1    Brebbia, C.A.2
  • 12
    • 0013299557 scopus 로고    scopus 로고
    • A variable order infinite element for multi-domain boundary element modelling of acoustic radiation and scattering
    • L. Cremers, K. R. Fyfe and P. Sas, A variable order infinite element for multi-domain boundary element modelling of acoustic radiation and scattering, Appl. Acoust. 59 (2000) 185-220.
    • (2000) Appl. Acoust. , vol.59 , pp. 185-220
    • Cremers, L.1    Fyfe, K.R.2    Sas, P.3
  • 13
    • 73549100625 scopus 로고
    • A boundary element method for acoustic radiation valid for all wavenumbers
    • K. A. Cunefare, G. H. Koopmann and K. Brod, A boundary element method for acoustic radiation valid for all wavenumbers, J. Acoust. Soc. Am. 85(1) (1989) 39-48.
    • (1989) J. Acoust. Soc. Am. , vol.85 , Issue.1 , pp. 39-48
    • Cunefare, K.A.1    Koopmann, G.H.2    Brod, K.3
  • 14
    • 0027467548 scopus 로고
    • A gradient formulation of the Helmholtz integral equation for acoustic radiation and scattering
    • D. T. I. Francis, A gradient formulation of the Helmholtz integral equation for acoustic radiation and scattering, J. Acoust. Soc. Am. 93(4) (1993) 1700-1709.
    • (1993) J. Acoust. Soc. Am. , vol.93 , Issue.4 , pp. 1700-1709
    • Francis, D.T.I.1
  • 15
    • 85002457529 scopus 로고
    • On the Burton and Miller boundary integral formulation of the exterior acoustic problem
    • P. J. Harris and S. Amini, On the Burton and Miller boundary integral formulation of the exterior acoustic problem, ASME J. Vib. Acoust. 114 (1992) 540-546.
    • (1992) ASME J. Vib. Acoust. , vol.114 , pp. 540-546
    • Harris, P.J.1    Amini, S.2
  • 16
    • 0016028683 scopus 로고
    • Integral equations for the exterior acoustic problem
    • D. S. Jones, Integral equations for the exterior acoustic problem, Quarterly J. Mechanics and Appl. Math. 27 (1974) 129-142.
    • (1974) Quarterly J. Mechanics and Appl. Math. , vol.27 , pp. 129-142
    • Jones, D.S.1
  • 17
    • 0028764421 scopus 로고
    • A numerical study of the coefficient matrix of the boundary element method near characteristic frequencies
    • P. Juhl, A numerical study of the coefficient matrix of the boundary element method near characteristic frequencies, J. Sound Vib. 175(1) (1994) 39-50.
    • (1994) J. Sound Vib. , vol.175 , Issue.1 , pp. 39-50
    • Juhl, P.1
  • 18
    • 0000689131 scopus 로고    scopus 로고
    • A note on the convergence of the direct collocation boundary element method
    • P. Juhl, A note on the convergence of the direct collocation boundary element method, J. Sound Vib. 212(4) (1998) 703-719.
    • (1998) J. Sound Vib. , vol.212 , Issue.4 , pp. 703-719
    • Juhl, P.1
  • 19
    • 0013290795 scopus 로고    scopus 로고
    • Iterative solution of the direct collocation BEM equations
    • Garmisch-Partenkirchen, Germany
    • P. Juhl, Iterative solution of the direct collocation BEM equations, in Proc. 7th Int. Congress on Sound and Vib. Vol. IV, pp. 2077-2084, Garmisch-Partenkirchen, Germany, 2000.
    • (2000) Proc. 7th Int. Congress on Sound and Vib. , vol.4 , pp. 2077-2084
    • Juhl, P.1
  • 22
    • 0001428565 scopus 로고
    • Ein numerisches Verfahren zur Lösung des Neumannschen Au senraumproblems für die Helmholtzsche Schwingungsgleichung
    • R. Kussmaul, Ein numerisches Verfahren zur Lösung des Neumannschen Au senraumproblems für die Helmholtzsche Schwingungsgleichung, Computing 4 (1969) 246-273.
    • (1969) Computing , vol.4 , pp. 246-273
    • Kussmaul, R.1
  • 23
    • 0032006860 scopus 로고    scopus 로고
    • An iterative solver for the Helmholtz integral equation for high frequency scattering
    • S. N. Makarov and M. Ochmann, An iterative solver for the Helmholtz integral equation for high frequency scattering, J. Acoust. Soc. Am. 103(2) (1998) 742-750.
    • (1998) J. Acoust. Soc. Am. , vol.103 , Issue.2 , pp. 742-750
    • Makarov, S.N.1    Ochmann, M.2
  • 24
    • 0036000820 scopus 로고    scopus 로고
    • Six boundary elements per wavelength. Is that enough?
    • S. Marburg, Six boundary elements per wavelength. Is that enough? J. Comput. Acoust. 10(1) (2002) 25-51.
    • (2002) J. Comput. Acoust. , vol.10 , Issue.1 , pp. 25-51
    • Marburg, S.1
  • 25
    • 0042450677 scopus 로고    scopus 로고
    • Influence of element types on numeric error for acoustic boundary elements
    • S. Marburg and S. Schneider, Influence of element types on numeric error for acoustic boundary elements, J. Computat, Acoust. 11(3) (2003) 363-386.
    • (2003) J. Computat, Acoust. , vol.11 , Issue.3 , pp. 363-386
    • Marburg, S.1    Schneider, S.2
  • 26
    • 0042623778 scopus 로고    scopus 로고
    • Performance of iterative solvers for acoustic problems. Part I: Solvers and effect of diagonal preconditioning
    • S. Marburg and S. Schneider, Performance of iterative solvers for acoustic problems. Part I: Solvers and effect of diagonal preconditioning, Eng. Anal. Boundary Elements 27(7) (2003) 727-750.
    • (2003) Eng. Anal. Boundary Elements , vol.27 , Issue.7 , pp. 727-750
    • Marburg, S.1    Schneider, S.2
  • 27
    • 0017985083 scopus 로고
    • Boundary integral solutions of three dimensional acoustic radiation problems
    • W. L. Meyer, W. A. Bell, B. T. Zinn and M. P. Stallybrass, Boundary integral solutions of three dimensional acoustic radiation problems, J. Sound Vib. 59(2) (1978) 245-262.
    • (1978) J. Sound Vib. , vol.59 , Issue.2 , pp. 245-262
    • Meyer, W.L.1    Bell, W.A.2    Zinn, B.T.3    Stallybrass, M.P.4
  • 28
    • 0013413242 scopus 로고    scopus 로고
    • Analytical and numerical methods in acoustics
    • Chap. O, ed. F. P. Mechel (Springer-Verlag, Berlin, Heidelberg)
    • M. Ochmann and F. P. Mechel, Analytical and numerical methods in acoustics, in Formulas of Acoustics, Chap. O, ed. F. P. Mechel (Springer-Verlag, Berlin, Heidelberg, 2002), pp. 930-1023.
    • (2002) Formulas of Acoustics , pp. 930-1023
    • Ochmann, M.1    Mechel, F.P.2
  • 29
    • 0000724280 scopus 로고
    • K voprosu o razrešimosti vnesnich kraevich zadač dlja volnovogo uravnenija i dlja sistemi uravnenij MAXWELLa
    • O. I. Panič, K voprosu o razrešimosti vnesnich kraevich zadač dlja volnovogo uravnenija i dlja sistemi uravnenij MAXWELLa, Uspechi Math. Nauk 20(1) (1965) 221-226.
    • (1965) Uspechi Math. Nauk , vol.20 , Issue.1 , pp. 221-226
    • Panič, O.I.1
  • 30
    • 18644377960 scopus 로고
    • Acoustic and Elastic Wave Scattering Using Boundary Elements, (Computational Mechanics Publications, Southampton Boston)
    • J. J. d. Rego Silva, Acoustic and Elastic Wave Scattering Using Boundary Elements, Vol. 18 of Topics in Engineering (Computational Mechanics Publications, Southampton Boston, 1993).
    • (1993) Topics in Engineering , vol.18
    • Rego Silva, J.J.D.1
  • 31
    • 0029021642 scopus 로고
    • A sparse integral equation method for acoustic scattering
    • E. M. Rosen, F. X. Canning and L. S. Couchman, A sparse integral equation method for acoustic scattering, J. Acoust. Soc. Am. 98 (1995) 599-610.
    • (1995) J. Acoust. Soc. Am. , vol.98 , pp. 599-610
    • Rosen, E.M.1    Canning, F.X.2    Couchman, L.S.3
  • 32
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Y. Saad and M. H. Schultz, GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems, SIAM J. Sci. Statistical Comp. 7 (1986) 856-869.
    • (1986) SIAM J. Sci. Statistical Comp. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 33
    • 84953655023 scopus 로고
    • Improved integral formulation for acoustic radiation problems
    • H. A. Schenck, Improved integral formulation for acoustic radiation problems, J. Acoust. Soc. Am. 44 (1968) 41-58.
    • (1968) J. Acoust. Soc. Am. , vol.44 , pp. 41-58
    • Schenck, H.A.1
  • 34
    • 0042450674 scopus 로고    scopus 로고
    • Application of fast methods for acoustic scattering and radiation problems
    • S. Schneider, Application of fast methods for acoustic scattering and radiation problems, J. Comput. Acoust. 11(3) (2003) 387-401.
    • (2003) J. Comput. Acoust. , vol.11 , Issue.3 , pp. 387-401
    • Schneider, S.1
  • 35
    • 0041621788 scopus 로고    scopus 로고
    • Performance of iterative solvers for acoustic problems. Part II: Acceleration by ilu-type preconditioner
    • S. Schneider and S. Marburg, Performance of iterative solvers for acoustic problems. Part II: Acceleration by ilu-type preconditioner, Eng. Anal. Boundary Elements 27(7) (2003) 751-757.
    • (2003) Eng. Anal. Boundary Elements , vol.27 , Issue.7 , pp. 751-757
    • Schneider, S.1    Marburg, S.2
  • 36
    • 0022013257 scopus 로고
    • An advanced computational method for radiation and scattering of acoustic waves in three dimensions
    • A. F. Seybert, B. Soenarko, F. J. Rizzo and F. J. Shippy, An advanced computational method for radiation and scattering of acoustic waves in three dimensions, J. Acoust. Soc. Am. 77(2) (1985) 362-368.
    • (1985) J. Acoust. Soc. Am. , vol.77 , Issue.2 , pp. 362-368
    • Seybert, A.F.1    Soenarko, B.2    Rizzo, F.J.3    Shippy, F.J.4
  • 37
    • 0023349184 scopus 로고
    • A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals
    • J. C. F. Telles, A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals, Int. J. Numerical Meth. Eng. 24 (1987) 959-973.
    • (1987) Int. J. Numerical Meth. Eng. , vol.24 , pp. 959-973
    • Telles, J.C.F.1
  • 38
    • 0027929668 scopus 로고
    • Third degree polynomial transformation for efficient numerical evaluation of general boundary element integrals
    • J. C. F. Telles and R. F. Oliveira, Third degree polynomial transformation for efficient numerical evaluation of general boundary element integrals, Eng. Anal. Boundary Elements 13 (1994) 135-141.
    • (1994) Eng. Anal. Boundary Elements , vol.13 , pp. 135-141
    • Telles, J.C.F.1    Oliveira, R.F.2
  • 39
    • 0002854822 scopus 로고
    • Extensions of the helmholtz integral equation method to shorter wavelengths
    • W. Tobocman, Extensions of the helmholtz integral equation method to shorter wavelengths, J. Acoust. Soc. Am. 80(6) (1986) 1828-1837.
    • (1986) J. Acoust. Soc. Am. , vol.80 , Issue.6 , pp. 1828-1837
    • Tobocman, W.1
  • 40
    • 84971178654 scopus 로고
    • On the exterior problems of acoustic
    • F. Ursell, On the exterior problems of acoustic, Proc. Cambridge Philosophers Soc. 74 (1973) 117-125.
    • (1973) Proc. Cambridge Philosophers Soc. , vol.74 , pp. 117-125
    • Ursell, F.1
  • 43
    • 0003186296 scopus 로고
    • Kapazität von Strahlungsfeldern
    • H. Weyl, Kapazität von Strahlungsfeldern, Mathematische Zeitschrift 55(2) (1952) 187-198.
    • (1952) Mathematische Zeitschrift , vol.55 , Issue.2 , pp. 187-198
    • Weyl, H.1
  • 45
    • 0027303215 scopus 로고
    • An efficient boundary element algorithm for multi-frequency acoustical analysis
    • T. W. Wu, W. L. Li and A. F. Seybert, An efficient boundary element algorithm for multi-frequency acoustical analysis, J. Acoust. Soc. Am. 94(1) (1993) 447-452.
    • (1993) J. Acoust. Soc. Am. , vol.94 , Issue.1 , pp. 447-452
    • Wu, T.W.1    Li, W.L.2    Seybert, A.F.3
  • 46
    • 33744654859 scopus 로고
    • Acoustic radiation and scattering
    • eds. R. D. Ciskowski and C. A. Brebbia, Chap. 3, (Computational Mechanics Publications and Elsevier Applied Science)
    • T. W. Wu and A. F. Seybert, Acoustic radiation and scattering, in Boundary Elements in Acoustics, eds. R. D. Ciskowski and C. A. Brebbia, Chap. 3, pp. 61-76 (Computational Mechanics Publications and Elsevier Applied Science, 1991).
    • (1991) Boundary Elements in Acoustics , pp. 61-76
    • Wu, T.W.1    Seybert, A.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.