메뉴 건너뛰기




Volumn 32, Issue 8, 2008, Pages 692-696

An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals

Author keywords

Boundary element; Gaussian quadrature; Singular integrals; Subdivision technique

Indexed keywords

ALGORITHMS; GAUSSIAN DISTRIBUTION; INTEGRAL EQUATIONS; SINGULAR VALUE DECOMPOSITION;

EID: 44949125585     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.12.004     Document Type: Article
Times cited : (101)

References (20)
  • 3
    • 0032653701 scopus 로고    scopus 로고
    • Weakly singular stress-BEM for 2D elastostatics
    • Richardson J.D., and Cruse T.A. Weakly singular stress-BEM for 2D elastostatics. Int J Numer Meth Eng 45 (1999) 13-35
    • (1999) Int J Numer Meth Eng , vol.45 , pp. 13-35
    • Richardson, J.D.1    Cruse, T.A.2
  • 4
    • 0000850190 scopus 로고    scopus 로고
    • An effective boundary element algorithm for 2D and 3D elastoplastic problems
    • Gao X.W., and Davies T.G. An effective boundary element algorithm for 2D and 3D elastoplastic problems. Int J Solids Struct 37 (2000) 4987-5008
    • (2000) Int J Solids Struct , vol.37 , pp. 4987-5008
    • Gao, X.W.1    Davies, T.G.2
  • 6
    • 0034042846 scopus 로고    scopus 로고
    • Boundary element hyper-singular formulation for elastoplastic contact problems
    • Aliabadi M.H., and Martin D. Boundary element hyper-singular formulation for elastoplastic contact problems. Int J Numer Meth Eng 48 (2000) 995-1014
    • (2000) Int J Numer Meth Eng , vol.48 , pp. 995-1014
    • Aliabadi, M.H.1    Martin, D.2
  • 7
    • 0025430991 scopus 로고
    • Hypersingular integrals in boundary element fracture analysis
    • Gray L.J., Martha L.F., and Ingraffea A.R. Hypersingular integrals in boundary element fracture analysis. Int J Numer Meth Eng 29 (1990) 1135-1158
    • (1990) Int J Numer Meth Eng , vol.29 , pp. 1135-1158
    • Gray, L.J.1    Martha, L.F.2    Ingraffea, A.R.3
  • 8
    • 0034325708 scopus 로고    scopus 로고
    • CPV and HFP integrals and their applications in the boundary element methods
    • Mukherjee S. CPV and HFP integrals and their applications in the boundary element methods. Int J Solids Struct 37 (2000) 6623-6634
    • (2000) Int J Solids Struct , vol.37 , pp. 6623-6634
    • Mukherjee, S.1
  • 9
    • 0023421901 scopus 로고
    • Direct computation of Cauchy principal value integrals in advanced boundary elements
    • Guiggiani M., and Casalini P. Direct computation of Cauchy principal value integrals in advanced boundary elements. Int J Numer Meth Eng 24 (1987) 1711-1720
    • (1987) Int J Numer Meth Eng , vol.24 , pp. 1711-1720
    • Guiggiani, M.1    Casalini, P.2
  • 10
    • 0026917189 scopus 로고
    • General algorithm for the numerical solution of hyper-singular boundary integral equations
    • Guiggiani M., Krishnasamy G., Rudolphi T.J., and Rizzo F.J. General algorithm for the numerical solution of hyper-singular boundary integral equations. (ASME) J Appl Mech 59 (1992) 604-614
    • (1992) (ASME) J Appl Mech , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 11
    • 0027149452 scopus 로고
    • Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals
    • Huber O., Lang A., and Kuhn G. Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals. Comput Mech 12 (1993) 39-50
    • (1993) Comput Mech , vol.12 , pp. 39-50
    • Huber, O.1    Lang, A.2    Kuhn, G.3
  • 12
    • 0033116850 scopus 로고    scopus 로고
    • An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
    • Karami G., and Derakhshan D. An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis. Eng Anal Boundary Elem 23 (1999) 317-326
    • (1999) Eng Anal Boundary Elem , vol.23 , pp. 317-326
    • Karami, G.1    Derakhshan, D.2
  • 13
    • 0025447014 scopus 로고
    • Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering
    • Krishnasamy G., Schmerr L.W., Rudolphi T.J., and Rizzo F.J. Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering. ASME J Appl Mech 57 (1990) 404-414
    • (1990) ASME J Appl Mech , vol.57 , pp. 404-414
    • Krishnasamy, G.1    Schmerr, L.W.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 14
    • 0036814988 scopus 로고    scopus 로고
    • A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
    • Ma H., and Kamiya N. A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity. Comput Mech 29 (2002) 277-288
    • (2002) Comput Mech , vol.29 , pp. 277-288
    • Ma, H.1    Kamiya, N.2
  • 15
    • 0038685987 scopus 로고    scopus 로고
    • Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations
    • Ma H., and Kamiya N. Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations. Eng Anal Boundary Elem 27 (2003) 625-637
    • (2003) Eng Anal Boundary Elem , vol.27 , pp. 625-637
    • Ma, H.1    Kamiya, N.2
  • 16
    • 0029706191 scopus 로고    scopus 로고
    • Regularization of hypersingular integrals in BEM formulations using various kinds of continuous elements
    • Sladek V., and Sladek J. Regularization of hypersingular integrals in BEM formulations using various kinds of continuous elements. Eng Anal Boundary Elem 17 (1996) 5-18
    • (1996) Eng Anal Boundary Elem , vol.17 , pp. 5-18
    • Sladek, V.1    Sladek, J.2
  • 18
    • 0000135169 scopus 로고
    • Regularization techniques applied to boundary element methods
    • Tanaka M., Sladek V., and Sladek J. Regularization techniques applied to boundary element methods. Appl Mech Rev 47 (1994) 457-499
    • (1994) Appl Mech Rev , vol.47 , pp. 457-499
    • Tanaka, M.1    Sladek, V.2    Sladek, J.3
  • 19
    • 10644257561 scopus 로고    scopus 로고
    • Evaluation of regular and singular domain integrals with boundary-only discetization-theory and Fortran code
    • Gao X.W. Evaluation of regular and singular domain integrals with boundary-only discetization-theory and Fortran code. J Comput Appl Math 175 (2005) 265-290
    • (2005) J Comput Appl Math , vol.175 , pp. 265-290
    • Gao, X.W.1
  • 20
    • 28044469086 scopus 로고    scopus 로고
    • Numerical evaluation of two-dimensional singular boundary integrals-theory and Fortran code
    • Gao X.W. Numerical evaluation of two-dimensional singular boundary integrals-theory and Fortran code. J Comput Appl Math 188 1 (2006) 44-64
    • (2006) J Comput Appl Math , vol.188 , Issue.1 , pp. 44-64
    • Gao, X.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.