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Volumn 24, Issue 4, 2003, Pages 1203-1217

A new sigmoidal transformation for weakly singular integrals in the boundary element method

Author keywords

Gauss Legendre quadrature rule; Sigmoidal transformation; Weakly singular integral

Indexed keywords

BOUNDARY ELEMENT METHOD; ERROR ANALYSIS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION;

EID: 0042631531     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827501396191     Document Type: Article
Times cited : (20)

References (10)
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  • 2
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    • Johnston, P.R.1
  • 3
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    • Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
    • P. R. JOHNSTON, Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals, Internat. J. Numer. Methods Engrg., 47 (2000), pp. 1709-1730.
    • (2000) Internat. J. Numer. Methods Engrg. , vol.47 , pp. 1709-1730
    • Johnston, P.R.1
  • 4
    • 0030734457 scopus 로고    scopus 로고
    • The cruciform crack problem and sigmoidal transformations
    • D. ELLIOTT, The cruciform crack problem and sigmoidal transformations, Math. Methods Appl Sci., 20 (1997), pp. 121-132.
    • (1997) Math. Methods Appl Sci. , vol.20 , pp. 121-132
    • Elliott, D.1
  • 5
    • 0002374955 scopus 로고    scopus 로고
    • Sigmoidal transformations and the trapezoidal rule
    • D. ELLIOTT, Sigmoidal transformations and the trapezoidal rule, J. Austral. Math. Soc. Ser. B, 40 (1998), pp. E77-E137.
    • (1998) J. Austral. Math. Soc. Ser. B , vol.40
    • Elliott, D.1
  • 6
    • 0023349184 scopus 로고
    • A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals
    • J. C. F. TELLES, A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals, Internat. J. Numer. Methods Engrg., 24 (1987), pp. 959-973.
    • (1987) Internat. J. Numer. Methods Engrg. , vol.24 , pp. 959-973
    • Telles, J.C.F.1
  • 7
    • 0031235554 scopus 로고    scopus 로고
    • On non-linear transformations for the integration of weakly-singular and Cauchy principal value integrals
    • M. DOBLARÉ AND L. GRACIA, On non-linear transformations for the integration of weakly-singular and Cauchy principal value integrals, Internat. J. Numer. Methods Engrg., 40 (1997), pp. 3325-3358.
    • (1997) Internat. J. Numer. Methods Engrg. , vol.40 , pp. 3325-3358
    • Doblaré, M.1    Gracia, L.2
  • 8
    • 0033727049 scopus 로고    scopus 로고
    • Error estimation of quadrature rules for evaluating singular integrals in boundary element
    • P. R. JOHNSTON AND D. ELLIOTT, Error estimation of quadrature rules for evaluating singular integrals in boundary element, Internat. J. Numer. Methods Engrg., 48 (2000), pp. 949-962.
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  • 9
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  • 10
    • 0035053424 scopus 로고    scopus 로고
    • On non-linear transformations for accurate numerical evaluation of weakly singular integrals
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.