메뉴 건너뛰기




Volumn 178, Issue 3-4, 1999, Pages 267-289

A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient

Author keywords

Boundary element method; Boundary layer effect; Potential gradient computation; Potential theory; Superconvergence

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYERS; CONVERGENCE OF NUMERICAL METHODS;

EID: 0032685626     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00020-1     Document Type: Article
Times cited : (13)

References (52)
  • 2
    • 0000181954 scopus 로고
    • The application of integral equation methods to the numerical solution of some exterior boundary-value problems
    • Burton A.J., Miller G.F. The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proc. Roy. Soc. Lond. A. 323:1971;201-210.
    • (1971) Proc. Roy. Soc. Lond. A. , vol.323 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 4
    • 0024737926 scopus 로고
    • A boundary integral equation formulation in derivative uknowns for two-dimensional potential problems
    • Choi J.H., Kwak B.M. A boundary integral equation formulation in derivative uknowns for two-dimensional potential problems. Journal of Applied Mechanics. 56:1989;617-623.
    • (1989) Journal of Applied Mechanics , vol.56 , pp. 617-623
    • Choi, J.H.1    Kwak, B.M.2
  • 8
    • 0015034972 scopus 로고
    • Three-dimensional elastic stress analysis of a fracture specimen with an edge crack
    • Cruse T., Vanburen W. Three-dimensional elastic stress analysis of a fracture specimen with an edge crack. International Journal of Fracture Mechanics. 7:1971;1-15.
    • (1971) International Journal of Fracture Mechanics , vol.7 , pp. 1-15
    • Cruse, T.1    Vanburen, W.2
  • 10
    • 0040875140 scopus 로고    scopus 로고
    • Potential gradient calculation in 2D using hypersingular BIE and strongly singular BIE with a smoothed integral density
    • Ecole Polytechnique, Palaiseau, Paris
    • E. Graciani, V. Mantič, F. París, J. Ca ñ as, Potential gradient calculation in 2D using hypersingular BIE and strongly singular BIE with a smoothed integral density, in: Proc. Int. Symp. Boundary Elements, IABEM'98, Ecole Polytechnique, Palaiseau, Paris, 1998, pp. 85-86.
    • (1998) In: Proc. Int. Symp. Boundary Elements, IABEM'98 , pp. 85-86
    • Graciani, E.1    Mantič, V.2    París, F.3    Cañas, J.4
  • 11
    • 85046525508 scopus 로고    scopus 로고
    • A critical study of some hypersingular and strongly singular boundary integral representations of potential gradient
    • to be submitted.
    • E. Graciani, V. Mantič, F. París, J. Ca ñ as, A critical study of some hypersingular and strongly singular boundary integral representations of potential gradient, Computational Mechanics, to be submitted.
    • Computational Mechanics
    • Graciani, E.1    Mantič, V.2    París, F.3    Cañas, J.4
  • 12
    • 0000498946 scopus 로고
    • Evaluation of hypersingular integrals in the boundary element method
    • Gray L.J. Evaluation of hypersingular integrals in the boundary element method. Mathematical Comput. Modelling. 15:1991;165-174.
    • (1991) Mathematical Comput. Modelling , vol.15 , pp. 165-174
    • Gray, L.J.1
  • 14
    • 0032140102 scopus 로고    scopus 로고
    • Galerkin boundary integral method for evaluating surface derivatives
    • L.J. Gray, D. Maroudas, M.N. Enmark, Galerkin boundary integral method for evaluating surface derivatives, Computational Mechanics 22 (1998) 187-193.
    • (1998) Computational Mechanics , vol.22 , pp. 187-193
    • Gray, L.J.1    Maroudas, D.2    Enmark, M.N.3
  • 15
    • 0029342747 scopus 로고
    • Hypersingular boundary integral equations have an additional free term
    • Guiggiani M. Hypersingular boundary integral equations have an additional free term. Computational Mechanics. 16:1995;245-248.
    • (1995) Computational Mechanics , vol.16 , pp. 245-248
    • Guiggiani, M.1
  • 16
    • 0026917189 scopus 로고
    • A general algorithm for the numerical solution of hypersingular boundary integral equations
    • Guiggiani M., Krishnasamy G., Rudolphi T.J., Rizzo F.J. A general algorithm for the numerical solution of hypersingular boundary integral equations. Journal of Applied Mechanics. 59:1992;604-614.
    • (1992) Journal of Applied Mechanics , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 18
    • 0019625718 scopus 로고
    • The Somigliana identity on piecewise smooth surfaces
    • Hartmann F. The Somigliana identity on piecewise smooth surfaces. Journal of Elasticity. 11:1981;403-423.
    • (1981) Journal of Elasticity , vol.11 , pp. 403-423
    • Hartmann, F.1
  • 19
    • 0026976715 scopus 로고
    • Numerical computation of hypersingular integrals and application to the boundary integral equation for stress tensor
    • Hildebrand J., Kuhn G. Numerical computation of hypersingular integrals and application to the boundary integral equation for stress tensor. Engineering Analysis with Boundary Elements. 10:1992;209-217.
    • (1992) Engineering Analysis with Boundary Elements , vol.10 , pp. 209-217
    • Hildebrand, J.1    Kuhn, G.2
  • 20
    • 0025447014 scopus 로고
    • Hypersingular boundary integral equations: Some applications in acoustic and elastic wave scattering
    • Krishnasamy G., Schmerr L.W., Rudolphi T.J., Rizzo F.J. Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering. Journal of Applied Mechanics. 57:1990;404-414.
    • (1990) Journal of Applied Mechanics , vol.57 , pp. 404-414
    • Krishnasamy, G.1    Schmerr, L.W.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 21
    • 0026627073 scopus 로고
    • Continuity requirements for density functions in the boundary integral equation method
    • Krishnasamy G., Rizzo F.J., Rudolphi T.J. Continuity requirements for density functions in the boundary integral equation method. Computational Mechanics. 9:1992;267-284.
    • (1992) Computational Mechanics , vol.9 , pp. 267-284
    • Krishnasamy, G.1    Rizzo, F.J.2    Rudolphi, T.J.3
  • 22
    • 0001415404 scopus 로고
    • Hypersingular boundary integral equations: Their occurrence, interpretation, regularization and computation
    • in: P.K. Banerjee, S. Kobayashi, (Eds.), Elsevier, Amsterdam
    • G. Krishnasamy, F.J. Rizzo, T.J. Rudolphi, Hypersingular boundary integral equations: their occurrence, interpretation, regularization and computation, in: P.K. Banerjee, S. Kobayashi, (Eds.), Developments in Boundary Elements Methods, vol. 7, Elsevier, Amsterdam, 1992 pp. 207-251.
    • (1992) Developments in Boundary Elements Methods , vol.7 , pp. 207-251
    • Krishnasamy, G.1    Rizzo, F.J.2    Rudolphi, T.J.3
  • 25
    • 0027855185 scopus 로고
    • A new formula for the C-matrix in the Somigliana identity
    • Mantič V. A new formula for the C-matrix in the Somigliana identity. Journal of Elasticity. 33:1993;191-201.
    • (1993) Journal of Elasticity , vol.33 , pp. 191-201
    • Mantič, V.1
  • 28
    • 0029390501 scopus 로고
    • Existence and evaluation of the two free terms in the hypersingular boundary integral equation of potential theory
    • Mantič V., París F. Existence and evaluation of the two free terms in the hypersingular boundary integral equation of potential theory. Engineering Analysis with Boundary Elements. 16:1995;253-260.
    • (1995) Engineering Analysis with Boundary Elements , vol.16 , pp. 253-260
    • Mantič, V.1    París, F.2
  • 32
    • 0040280849 scopus 로고    scopus 로고
    • A study on evaluation of hypersingular integral representation of boundary potential gradients
    • Computational Mechanics Publications Southampton
    • T. Matsumoto, M. Tanaka, S. Okayama, M.H. Aliabadi, A study on evaluation of hypersingular integral representation of boundary potential gradients, in: Boundary Elements XIX, Computational Mechanics Publications Southampton, 1997 pp. 667-676.
    • (1997) In: Boundary Elements , vol.19 , pp. 667-676
    • Matsumoto, T.1    Tanaka, M.2    Okayama, S.3    Aliabadi, M.H.4
  • 33
    • 34250923661 scopus 로고
    • Zur Formulierung eines allgemeinen Beugungs problems durch eine Integralgleichung
    • A.-W. Maue, Zur Formulierung eines allgemeinen Beugungs problems durch eine Integralgleichung, Zeitschrift für Physik, 126 (1949) 601-618.
    • (1949) Zeitschrift für Physik , vol.126 , pp. 601-618
    • Maue, A.-W.1
  • 37
    • 0024138159 scopus 로고
    • A novel displacement gradient boundary element method for elastic stress analysis with high accuracy
    • Okada H., Rajiah H., Atluri S.N. A novel displacement gradient boundary element method for elastic stress analysis with high accuracy. Journal of Applied Mechanics. 55:1988;786-794.
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 786-794
    • Okada, H.1    Rajiah, H.2    Atluri, S.N.3
  • 39
    • 0030567479 scopus 로고    scopus 로고
    • An efficient boundary element method for computing accurate stresses in two-dimensional anisotropic problems
    • Raju I.S., Sistla R., Krishnamurthy T. An efficient boundary element method for computing accurate stresses in two-dimensional anisotropic problems. Computers and Structures. 59:1996;453-462.
    • (1996) Computers and Structures , vol.59 , pp. 453-462
    • Raju, I.S.1    Sistla, R.2    Krishnamurthy, T.3
  • 40
    • 0000242054 scopus 로고
    • A formulation and solution procedure for the general non-homogeneous elastic inclusion problem
    • Rizzo F.J., Shippy D.J. A formulation and solution procedure for the general non-homogeneous elastic inclusion problem. International Journal of Solids and Structures. 4:1968;1161-1179.
    • (1968) International Journal of Solids and Structures , vol.4 , pp. 1161-1179
    • Rizzo, F.J.1    Shippy, D.J.2
  • 41
    • 0039237646 scopus 로고
    • Accurate computation of primary field gradients on boundary by solving nonsingular BIE for tangential derivatives
    • Computational Mechanics Publications, Southampton
    • V. Sládek, T. Matsumoto, M. Tanaka, K. Hondoh, M. Miyagawa, Accurate computation of primary field gradients on boundary by solving nonsingular BIE for tangential derivatives, in: Proc. Boundary Elements XIV, Computational Mechanics Publications, Southampton, 1992 633-642.
    • (1992) In: Proc. Boundary Elements , vol.14 , pp. 633-642
    • Sládek, V.1    Matsumoto, T.2    Tanaka, M.3    Hondoh, K.4    Miyagawa, M.5
  • 42
  • 43
    • 0029706191 scopus 로고    scopus 로고
    • Regularization of hypersingular integrals in BEM formulations using various kinds of continuous elements
    • Sládek V., Sládek J. Regularization of hypersingular integrals in BEM formulations using various kinds of continuous elements. Engineering Analysis with Boundary Elements. 17:1996;5-18.
    • (1996) Engineering Analysis with Boundary Elements , vol.17 , pp. 5-18
    • Sládek, V.1    Sládek, J.2
  • 45
    • 0000135169 scopus 로고
    • Regularization techniques applied to boundary element methods
    • Tanaka M., Sládek V., Sládek J. Regularization techniques applied to boundary element methods. Applied Mechanics Review. 47:1994;457-499.
    • (1994) Applied Mechanics Review , vol.47 , pp. 457-499
    • Tanaka, M.1    Sládek, V.2    Sládek, J.3
  • 47
    • 84968162778 scopus 로고
    • A new boundary integral equation formulation for linear elastic solids
    • Wu K.C., Chiu Y.T., Hwu Z.H. A new boundary integral equation formulation for linear elastic solids. Journal of Applied Mechanics. 59:1992;344-348.
    • (1992) Journal of Applied Mechanics , vol.59 , pp. 344-348
    • Wu, K.C.1    Chiu, Y.T.2    Hwu, Z.H.3
  • 48
    • 0030128918 scopus 로고    scopus 로고
    • A single-domain boundary element method for 3-D elastostatic crack analysis using continuous elements
    • Young A. A single-domain boundary element method for 3-D elastostatic crack analysis using continuous elements. International Journal for Numerical Methods in Engineering. 39:1996;1265-1293.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 1265-1293
    • Young, A.1
  • 49
    • 0031232751 scopus 로고    scopus 로고
    • Improved numerical method for the traction boundary integral equation by application of Stokes' theorem
    • Young A. Improved numerical method for the traction boundary integral equation by application of Stokes' theorem. International Journal for Numerical Methods in Engineering. 40:1997;3141-3161.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 3141-3161
    • Young, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.