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Volumn 75, Issue 1, 2008, Pages 43-57

The iterated sinh transformation

Author keywords

Boundary element method; Nearly singular integrals; Non linear co ordinate transformation; Numerical integration; Sinh function

Indexed keywords

INTEGRAL EQUATIONS; LEAD; NUMERICAL ANALYSIS; TWO DIMENSIONAL;

EID: 47949123504     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2244     Document Type: Article
Times cited : (33)

References (11)
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    • (1987) International Journal for Numerical Methods in Engineering , vol.24 , pp. 959-973
    • Telles, J.C.F.1
  • 2
    • 0027929668 scopus 로고
    • Third degree polynomial transformation for boundary element integrals: Further improvements
    • Telles JCF, Oliveira RF. Third degree polynomial transformation for boundary element integrals: further improvements. Engineering Analysis with Boundary Elements 1994; 13:135-141.
    • (1994) Engineering Analysis with Boundary Elements , vol.13 , pp. 135-141
    • Telles, J.C.F.1    Oliveira, R.F.2
  • 3
    • 0000736808 scopus 로고    scopus 로고
    • Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
    • Johnston PR. Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. International Journal for Numerical Methods in Engineering 1999; 45(10):1333-1348.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , Issue.10 , pp. 1333-1348
    • Johnston, P.R.1
  • 4
    • 0032632124 scopus 로고    scopus 로고
    • Stress intensity sensitivities via hypersingular boundary element integral equations
    • Zhang D, Rizzo FJ, Rudolphi YJ. Stress intensity sensitivities via hypersingular boundary element integral equations. Computational Mechanics 1999; 23:389-396.
    • (1999) Computational Mechanics , vol.23 , pp. 389-396
    • Zhang, D.1    Rizzo, F.J.2    Rudolphi, Y.J.3
  • 5
    • 0027591201 scopus 로고
    • Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
    • Sladek N, Sladek J, Tanaka M. Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity. International Journal for Numerical Methods in Engineering 1993; 36:1609-1628.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 1609-1628
    • Sladek, N.1    Sladek, J.2    Tanaka, M.3
  • 6
    • 0035499555 scopus 로고    scopus 로고
    • Numerical integration of logarithmic and nearly logarithmic singularity in BEMs
    • Sladek V, Sladek J, Tanaka M. Numerical integration of logarithmic and nearly logarithmic singularity in BEMs. Applied Mathematical Modelling 2001; 25:901-922.
    • (2001) Applied Mathematical Modelling , vol.25 , pp. 901-922
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3
  • 7
    • 0036532073 scopus 로고    scopus 로고
    • Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
    • Ma H, Kamiya N. Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method. Engineering Analysis with Boundary Elements 2002; 26:329-339.
    • (2002) Engineering Analysis with Boundary Elements , vol.26 , pp. 329-339
    • Ma, H.1    Kamiya, N.2
  • 9
    • 33847361409 scopus 로고    scopus 로고
    • Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals
    • Elliott D, Johnston PR. Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. Journal of Computational and Applied Mathematics 2007; 203(1):103-124.
    • (2007) Journal of Computational and Applied Mathematics , vol.203 , Issue.1 , pp. 103-124
    • Elliott, D.1    Johnston, P.R.2
  • 10
    • 0003411868 scopus 로고
    • Mathematical Handbook of Formulas and Tables
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    • Spiegel MR. Mathematical Handbook of Formulas and Tables (International edn). Schaum's Outline Series. McGraw-Hill: New York, 1990.
    • (1990) Schaum's Outline Series
    • Spiegel, M.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.