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Volumn 62, Issue 4, 2005, Pages 564-578

A sinh transformation for evaluating nearly singular boundary element integrals

Author keywords

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

Indexed keywords

COMPUTER SOFTWARE; ERROR ANALYSIS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS;

EID: 12444269012     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1208     Document Type: Article
Times cited : (127)

References (26)
  • 2
    • 0023349184 scopus 로고
    • A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals
    • Telles JCF. A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals. International Journal for Numerical Methods in Engineering 1987; 24:959-973.
    • (1987) International Journal for Numerical Methods in Engineering , vol.24 , pp. 959-973
    • Telles, J.C.F.1
  • 4
    • 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
  • 5
    • 0035360320 scopus 로고    scopus 로고
    • A generalisation of Telles' method for evaluating weakly singular boundary element integrals
    • Johnston PR, Elliott D. A generalisation of Telles' method for evaluating weakly singular boundary element integrals. Journal of Computational and Applied Mathematics 2001; 131(1-2):223-241.
    • (2001) Journal of Computational and Applied Mathematics , vol.131 , Issue.1-2 , pp. 223-241
    • Johnston, P.R.1    Elliott, D.2
  • 6
    • 0042631531 scopus 로고    scopus 로고
    • A new sigmoidal transformation for weakly singular integrals in the boundary element method
    • Yun BI, Kim P. A new sigmoidal transformation for weakly singular integrals in the boundary element method. SIAM Journal for Scientific Computing 2003; 24(4):1203-1217.
    • (2003) SIAM Journal for Scientific Computing , vol.24 , Issue.4 , pp. 1203-1217
    • Yun, B.I.1    Kim, P.2
  • 7
    • 0041519061 scopus 로고    scopus 로고
    • A composite transformation for numerical integration of singular integrals in the bem
    • Yun BI. A composite transformation for numerical integration of singular integrals in the bem. International Journal for Numerical Methods in Engineering 2003; 57(13):1883-1898.
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , Issue.13 , pp. 1883-1898
    • Yun, B.I.1
  • 8
    • 1842511714 scopus 로고    scopus 로고
    • An extended sigmoidal transformation technique for evaluating weakly singular integrals without splitting the integration interval
    • Yun BI. An extended sigmoidal transformation technique for evaluating weakly singular integrals without splitting the integration interval. SIAM Journal for Scientific Computing 2003; 25(1):284-301.
    • (2003) SIAM Journal for Scientific Computing , vol.25 , Issue.1 , pp. 284-301
    • Yun, B.I.1
  • 9
    • 2442675055 scopus 로고    scopus 로고
    • A non-linear co-ordinate transformation for accurate numerical evaluation of weakly singular integrals
    • Yun BI. A non-linear co-ordinate transformation for accurate numerical evaluation of weakly singular integrals. Communications in Numerical Methods in Engineering 2003; 20:401-417.
    • (2003) Communications in Numerical Methods in Engineering , vol.20 , pp. 401-417
    • Yun, B.I.1
  • 10
    • 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
  • 11
    • 0033900686 scopus 로고    scopus 로고
    • Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
    • Johnston PR. Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals. International Journal for Numerical Methods in Engineering 2000; 47(10):1709-1730.
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , Issue.10 , pp. 1709-1730
    • Johnston, P.R.1
  • 12
    • 0033727049 scopus 로고    scopus 로고
    • Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
    • Johnston PR, Elliott D. Error estimation of quadrature rules for evaluating singular integrals in boundary element problems. International Journal for Numerical Methods in Engineering 2000; 48(7):949-962.
    • (2000) International Journal for Numerical Methods in Engineering , vol.48 , Issue.7 , pp. 949-962
    • Johnston, P.R.1    Elliott, D.2
  • 14
    • 0027591201 scopus 로고
    • Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
    • Sladek V, 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, V.1    Sladek, J.2    Tanaka, M.3
  • 15
    • 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
  • 16
    • 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
  • 17
    • 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
  • 18
    • 0034275261 scopus 로고    scopus 로고
    • Crack growth analysis of plates loaded by bending and tension using dual boundary element method
    • Dirgantara T, Aliabadi MH. Crack growth analysis of plates loaded by bending and tension using dual boundary element method. International Journal of Fracture 2000; 105:27-74.
    • (2000) International Journal of Fracture , vol.105 , pp. 27-74
    • Dirgantara, T.1    Aliabadi, M.H.2
  • 20
    • 0031997408 scopus 로고    scopus 로고
    • Analysis of shell-like structures by the boundary element method based on 3-D elasticity: Formulation and verification
    • Liu YJ. Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification. International Journal for Numerical Methods in Engineering 1998; 41:541-558.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 541-558
    • Liu, Y.J.1
  • 21
    • 0004156783 scopus 로고    scopus 로고
    • (5th edn). Thomson: CA, USA
    • Stewart J. Calculus (5th edn). Thomson: CA, USA, 2003.
    • (2003) Calculus
    • Stewart, J.1
  • 23
    • 0015490387 scopus 로고
    • A unified approach to quadrature rules with asymptotic estimates of their remainders
    • Donaldson JD, Elliott D. A unified approach to quadrature rules with asymptotic estimates of their remainders. SIAM Journal of Numerical Analysis 1972; 9:573-602.
    • (1972) SIAM Journal of Numerical Analysis , vol.9 , pp. 573-602
    • Donaldson, J.D.1    Elliott, D.2
  • 24
    • 12444304287 scopus 로고    scopus 로고
    • Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals
    • submitted
    • Elliott D, Johnston PR. Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals, submitted.
    • Elliott, D.1    Johnston, P.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.