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Volumn 69, Issue 9, 2007, Pages 1930-1947

Evaluation of supersingular integrals: Second-order boundary derivatives

Author keywords

Boundary integral method; Boundary limit; Supersingular integrals; Surface derivatives

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; GALERKIN METHODS; GREEN'S FUNCTION; INTERPOLATION;

EID: 33847420572     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1835     Document Type: Article
Times cited : (18)

References (32)
  • 6
    • 0028135962 scopus 로고
    • Hypersingular formulation for boundary stress evaluation
    • Guiggiani M. Hypersingular formulation for boundary stress evaluation. Engineering Analysis with Boundary Elements 1994; 13:169-179.
    • (1994) Engineering Analysis With Boundary Elements , vol.13 , pp. 169-179
    • Guiggiani, M.1
  • 8
    • 0032623511 scopus 로고    scopus 로고
    • Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations
    • Chati MK, Mukherjee S. Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations. Acta Mechanica 1999; 135:41-45.
    • (1999) Acta Mechanica , vol.135 , pp. 41-45
    • Chati, M.K.1    Mukherjee, S.2
  • 9
    • 0024138159 scopus 로고
    • A novel displacement gradient boundary element method for elastic stress analysis with high accuracy
    • Okada H, Rajiyah H, Atluri SN. A novel displacement gradient boundary element method for elastic stress analysis with high accuracy. Transactions of the ASME 1988; 55:786-794.
    • (1988) Transactions of the ASME , vol.55 , pp. 786-794
    • Okada, H.1    Rajiyah, H.2    Atluri, S.N.3
  • 11
    • 0032685626 scopus 로고    scopus 로고
    • A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient
    • Mantič V, Graciani E, Paris F. A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient. Computer Methods in Applied Mechanics and Engineering 1999; 178: 267-289.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.178 , pp. 267-289
    • Mantič, V.1    Graciani, E.2    Paris, F.3
  • 12
    • 0033717684 scopus 로고    scopus 로고
    • A critical study of hypersingular and strongly singular boundary integral representations of potential gradient
    • Graciani E, Mantič V, Paris F, Cañas J. A critical study of hypersingular and strongly singular boundary integral representations of potential gradient. Computational Mechanics 2000; 25:542-559.
    • (2000) Computational Mechanics , vol.25 , pp. 542-559
    • Graciani, E.1    Mantič, V.2    Paris, F.3    Cañas, J.4
  • 13
    • 0345580278 scopus 로고    scopus 로고
    • Boundary stress calculation-a comparison study
    • Zhao ZY, Lan S. Boundary stress calculation-a comparison study. Computers and Structures 1999; 71:77-85.
    • (1999) Computers and Structures , vol.71 , pp. 77-85
    • Zhao, Z.Y.1    Lan, S.2
  • 15
    • 0002123078 scopus 로고    scopus 로고
    • Evaluation of singular and hypersingular Galerkin boundary integrals: Direct limits and symbolic computation
    • In (Chapter 2), Sladek V, Sladek J (eds). Advances in Boundary Elements. Computational Mechanics Publishers: Southampton
    • Gray LJ. Evaluation of singular and hypersingular Galerkin boundary integrals: direct limits and symbolic computation. In Singular Integrals in the Boundary Element Method (Chapter 2), Sladek V, Sladek J (eds). Advances in Boundary Elements. Computational Mechanics Publishers: Southampton, 1998; 33-84.
    • (1998) Singular Integrals in the Boundary Element Method , pp. 33-84
    • Gray, L.J.1
  • 17
    • 0033116850 scopus 로고    scopus 로고
    • An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
    • Karami G, Derakhshan D. An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis. Engineering Analysis with Boundary Elements 1999; 23:317-326.
    • (1999) Engineering Analysis With Boundary Elements , vol.23 , pp. 317-326
    • Karami, G.1    Derakhshan, D.2
  • 18
    • 0031647254 scopus 로고    scopus 로고
    • A Galerkin symmetric and direct BIE method for kirchoff elastic plates: Formulation and implementation
    • Frangi A, Bonnet M. A Galerkin symmetric and direct BIE method for kirchoff elastic plates: formulation and implementation. International Journal for Numerical Methods in Engineering 1998; 41:337-369.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 337-369
    • Frangi, A.1    Bonnet, M.2
  • 21
    • 0038346095 scopus 로고    scopus 로고
    • Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM
    • Bonnet M, Guiggiani M. Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM. Computer Methods in Applied Mechanics and Engineering 2003; 192:2565-2596.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 2565-2596
    • Bonnet, M.1    Guiggiani, M.2
  • 22
    • 0033337139 scopus 로고    scopus 로고
    • Boundary element analysis of Kirchoff plates with direct evaluation of hypersingular integrals
    • Frangi A, Guiggiani M. Boundary element analysis of Kirchoff plates with direct evaluation of hypersingular integrals. International Journal for Numerical Methods in Engineering 1999; 46:1845-1863.
    • (1999) International Journal for Numerical Methods in Engineering , vol.46 , pp. 1845-1863
    • Frangi, A.1    Guiggiani, M.2
  • 23
    • 0033482032 scopus 로고    scopus 로고
    • On the extraction technique in boundary integral equations
    • Schwab C, Wendland WL. On the extraction technique in boundary integral equations. Mathematics of Computation 1999; 68:91-122.
    • (1999) Mathematics of Computation , vol.68 , pp. 91-122
    • Schwab, C.1    Wendland, W.L.2
  • 24
    • 0022581215 scopus 로고
    • Hermitian cubic and singular elements for plain strain
    • In (Chaper 1), Banerjee PK, Watson JO (eds), Elsevier Applied Science Publishers; London and New York
    • Watson JO. Hermitian cubic and singular elements for plain strain. In Developments in Boundary Element Methods (Chaper 1), Banerjee PK, Watson JO (eds), vol. 4. Elsevier Applied Science Publishers; London and New York, 1986; 1-28.
    • (1986) Developments in Boundary Element Methods , vol.4 , pp. 1-28
    • Watson, J.O.1
  • 25
    • 14044278119 scopus 로고    scopus 로고
    • On a Hermite boundary integral approximation
    • Gray LJ, Garzon M. On a Hermite boundary integral approximation. Computers and Structures 2005; 83:889-894.
    • (2005) Computers and Structures , vol.83 , pp. 889-894
    • Gray, L.J.1    Garzon, M.2
  • 26
    • 0032140102 scopus 로고    scopus 로고
    • Galerkin boundary integral method for evaluating surface derivatives
    • Gray LJ, Maroudas D, Ermark M. Galerkin boundary integral method for evaluating surface derivatives. Computational Mechanics 1998; 22:187-193.
    • (1998) Computational Mechanics , vol.22 , pp. 187-193
    • Gray, L.J.1    Maroudas, D.2    Ermark, M.3
  • 27
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • Sethian JA, Wiegmann A. Structural boundary design via level set and immersed interface methods. Journal for Computational Physics 2000; 163:489-528.
    • (2000) Journal for Computational Physics , vol.163 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2
  • 29
    • 0000103538 scopus 로고
    • A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements
    • de Paula FA, Telles JCF. A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements. Engineering Analysis with Boundary Elements 1989; 6:123-128.
    • (1989) Engineering Analysis With Boundary Elements , vol.6 , pp. 123-128
    • de Paula, F.A.1    Telles, J.C.F.2
  • 30
    • 0000473983 scopus 로고    scopus 로고
    • Regularization of boundary element formulations by the derivative transfer method
    • In (Chapter 4), Sladek V, Sladek J (eds). Advances in Boundary Elements. Computational Mechanics Publishers: Southampton
    • Frangi A. Regularization of boundary element formulations by the derivative transfer method. In Singular Integrals in the Boundary Element Method (Chapter 4), Sladek V, Sladek J (eds). Advances in Boundary Elements. Computational Mechanics Publishers: Southampton, 1998; 125-164.
    • (1998) Singular Integrals in the Boundary Element Method , pp. 125-164
    • Frangi, A.1
  • 31
    • 4243734525 scopus 로고
    • Singular and nearly singular integrals
    • Ph.D. Thesis, Cornell University
    • Lutz ED. Singular and nearly singular integrals. Ph.D. Thesis, Cornell University, 1991.
    • (1991)
    • Lutz, E.D.1
  • 32
    • 0028442887 scopus 로고
    • A novel boundary elements method for linear elasticity with no numerical integration for 2d and line integrals for 3d problems
    • Nagarajan A, Lutz ED, Mukherjee S. A novel boundary elements method for linear elasticity with no numerical integration for 2d and line integrals for 3d problems. Journal of Applied Mechanics 1994; 61:264-269.
    • (1994) Journal of Applied Mechanics , vol.61 , pp. 264-269
    • Nagarajan, A.1    Lutz, E.D.2    Mukherjee, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.