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Volumn 29, Issue 3, 2007, Pages 1207-1216

Numerical quadratures for singular and hypersingular integrals in boundary element methods

Author keywords

Boundary element methods; Hilbert transform; Hypersingular integrals; Integral equations; Legendre polynomials; Numerical quadrature

Indexed keywords

FUNCTION EVALUATION; HILBERT SPACES; INTEGRAL EQUATIONS; POLYNOMIALS;

EID: 44649165661     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/060666093     Document Type: Article
Times cited : (43)

References (18)
  • 1
    • 0004002033 scopus 로고
    • Mathematical Association of America, Washington, DC
    • F. S. ACTON, Numerical Methods that Work, Mathematical Association of America, Washington, DC, 1990.
    • (1990) Numerical Methods that Work
    • ACTON, F.S.1
  • 2
    • 85160603029 scopus 로고    scopus 로고
    • E. ANDERSON, Z. BAI, C. BISCHOF, S. BLACKFORD, J. DEMMEL, J. DONGARRA, J. DU CROZ, A. GREENBAUM, S. HAMMARLING, A. MCKENNEY, AND D. SORENSEN, LAPACK Users' Guide, 3rd ed., Software Environ. Tools 9, SIAM, Philadelphia, 1999.
    • E. ANDERSON, Z. BAI, C. BISCHOF, S. BLACKFORD, J. DEMMEL, J. DONGARRA, J. DU CROZ, A. GREENBAUM, S. HAMMARLING, A. MCKENNEY, AND D. SORENSEN, LAPACK Users' Guide, 3rd ed., Software Environ. Tools 9, SIAM, Philadelphia, 1999.
  • 3
    • 0023380317 scopus 로고
    • Electromagnetic scattering by a perfectly conducting elliptic disk
    • J. BJÖRKBERG AND G. KRISTENSSON, Electromagnetic scattering by a perfectly conducting elliptic disk, Canad. J. Phys., 65 (1987), pp. 723-734.
    • (1987) Canad. J. Phys , vol.65 , pp. 723-734
    • BJÖRKBERG, J.1    KRISTENSSON, G.2
  • 4
    • 0023422779 scopus 로고
    • Improper integrals in theoretical aerodynamics: The problem revisited
    • M. P. BRANDÃO, Improper integrals in theoretical aerodynamics: The problem revisited, AIAA J., 25 (1987), pp. 1258-1260.
    • (1987) AIAA J , vol.25 , pp. 1258-1260
    • BRANDÃO, M.P.1
  • 5
    • 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. Roy. Soc. London Ser. A., 323 (1971), pp. 201-210.
    • (1971) Proc. Roy. Soc. London Ser. A , vol.323 , pp. 201-210
    • BURTON, A.J.1    MILLER, G.F.2
  • 6
    • 31744448605 scopus 로고    scopus 로고
    • Scattering by quasi-symmetric pipes
    • M. CARLEY, Scattering by quasi-symmetric pipes, J. Acoustical Society of America, 119 (2006), pp. 817-823.
    • (2006) J. Acoustical Society of America , vol.119 , pp. 817-823
    • CARLEY, M.1
  • 8
    • 0013407401 scopus 로고
    • On the singularity of the axially symmetric Helmholtz Green's function, with application to BEM
    • T. W. DAWSON, On the singularity of the axially symmetric Helmholtz Green's function, with application to BEM, Appl. Math. Model., 19 (1995), pp. 590-599.
    • (1995) Appl. Math. Model , vol.19 , pp. 590-599
    • DAWSON, T.W.1
  • 9
    • 0013407399 scopus 로고    scopus 로고
    • The application of a boundary integral equation method to the prediction of ducted fan engine noise
    • M. H. DUNN, J. TWEED, AND F. FARASSAT, The application of a boundary integral equation method to the prediction of ducted fan engine noise, J. Sound Vibration, 227 (1999), pp. 1019-1048.
    • (1999) J. Sound Vibration , vol.227 , pp. 1019-1048
    • DUNN, M.H.1    TWEED, J.2    FARASSAT, F.3
  • 11
    • 0001863547 scopus 로고
    • On the solution of integral equations with strongly singular kernels
    • A. C. KAYA AND F. ERDOGAN, On the solution of integral equations with strongly singular kernels, Quart. Appl. Math., 45 (1987), pp. 105-122.
    • (1987) Quart. Appl. Math , vol.45 , pp. 105-122
    • KAYA, A.C.1    ERDOGAN, F.2
  • 12
    • 0035251683 scopus 로고    scopus 로고
    • Numerical quadratures for singular and hypersingular integrals
    • P. KOLM AND V. ROKHLIN, Numerical quadratures for singular and hypersingular integrals, Comput. Math. Appl., 41 (2001), pp. 327-352.
    • (2001) Comput. Math. Appl , vol.41 , pp. 327-352
    • KOLM, P.1    ROKHLIN, V.2
  • 13
    • 57249098748 scopus 로고    scopus 로고
    • On the use of interpolative quadratures for hypersingular integrals in fracture mechanics
    • A. M. KORSUNSKY, On the use of interpolative quadratures for hypersingular integrals in fracture mechanics, Proc. Roy. Soc. London Ser. A., 458 (2002), pp. 2721-2733.
    • (2002) Proc. Roy. Soc. London Ser. A , vol.458 , pp. 2721-2733
    • KORSUNSKY, A.M.1
  • 15
    • 0000958673 scopus 로고    scopus 로고
    • Generalized Gaussian quadrature rules for systems of arbitrary functions
    • J. MA, V. ROKHLIN, AND S. WANDZURA, Generalized Gaussian quadrature rules for systems of arbitrary functions, SIAM J. Numer. Anal., 33 (1996), pp. 971-996.
    • (1996) SIAM J. Numer. Anal , vol.33 , pp. 971-996
    • MA, J.1    ROKHLIN, V.2    WANDZURA, S.3
  • 16
    • 0025833736 scopus 로고
    • The thin-shape breakdown (TSB) of the Helmholtz integral equation
    • R. MARTINEZ, The thin-shape breakdown (TSB) of the Helmholtz integral equation, J. Acoustical Society of America, 90 (1991), pp. 2728-2738.
    • (1991) J. Acoustical Society of America , vol.90 , pp. 2728-2738
    • MARTINEZ, R.1
  • 17
    • 0028422932 scopus 로고
    • Numerical evaluation of hypersingular integrals
    • G. MONEGATO, Numerical evaluation of hypersingular integrals, J. Comput. Appl. Math., 50 (1994), pp. 9-31.
    • (1994) J. Comput. Appl. Math , vol.50 , pp. 9-31
    • MONEGATO, G.1
  • 18
    • 0033884491 scopus 로고    scopus 로고
    • Direct Gauss quadrature formulae for logarithmic singularities on isoparametric elements
    • R. N. L. SMITH, Direct Gauss quadrature formulae for logarithmic singularities on isoparametric elements, Engineering Analysis with Boundary Elements, 24 (2000), pp. 161-167.
    • (2000) Engineering Analysis with Boundary Elements , vol.24 , pp. 161-167
    • SMITH, R.N.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.