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Volumn 29, Issue 3, 2005, Pages 224-231

Accuracy of desingularized boundary integral equations for plane exterior potential problems

Author keywords

Desingularized boundary integral equation; Desingularized hypersingular boundary integral equation; Normal derivative of boundary integral equation; Potential flows

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; INTEGRATION; LAPLACE TRANSFORMS; VECTORS;

EID: 15844371950     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.12.007     Document Type: Article
Times cited : (14)

References (19)
  • 2
    • 0002623248 scopus 로고
    • Calculation of nonlifting potential flow about arbitrary three-dimensional smooth bodies
    • J.L. Hess, and A.M. Smith Calculation of nonlifting potential flow about arbitrary three-dimensional smooth bodies J Ship Res 7 1964 22 44
    • (1964) J Ship Res , vol.7 , pp. 22-44
    • Hess, J.L.1    Smith, A.M.2
  • 5
    • 15844386645 scopus 로고    scopus 로고
    • Analysis of the 2D stokes flows by the non-singular boundary integral equation method
    • C.M. Fan, and D.L. Young Analysis of the 2D stokes flows by the non-singular boundary integral equation method Int Math J 2 2002 1199 1215
    • (2002) Int Math J , vol.2 , pp. 1199-1215
    • Fan, C.M.1    Young, D.L.2
  • 6
    • 0001332520 scopus 로고
    • The flow about arbitrary, three-dimensional smooth bodies
    • W.C. Webster The flow about arbitrary, three-dimensional smooth bodies J Ship Res 19 1975 206 218
    • (1975) J Ship Res , vol.19 , pp. 206-218
    • Webster, W.C.1
  • 7
    • 0026416722 scopus 로고
    • Three-dimensional desingularized boundary integral methods for potential problems
    • Y. Cao, W.W. Schultz, and R.F. Beck Three-dimensional desingularized boundary integral methods for potential problems Int J Numer Methods Fluids 12 1991 785 803
    • (1991) Int J Numer Methods Fluids , vol.12 , pp. 785-803
    • Cao, Y.1    Schultz, W.W.2    Beck, R.F.3
  • 8
    • 0031277845 scopus 로고    scopus 로고
    • On the accuracy of the desingularized boundary integral method in free surface flow problems
    • F. Lalli On the accuracy of the desingularized boundary integral method in free surface flow problems Int J Numer Methods Fluids 25 1997 1163 1184
    • (1997) Int J Numer Methods Fluids , vol.25 , pp. 1163-1184
    • Lalli, F.1
  • 9
    • 0033619908 scopus 로고    scopus 로고
    • Simulation of three-dimensional bubbles using desingularized boundary integral method
    • Y.L. Zhang, K.S. Yeo, B.C. Khoo, and W.K. Chong Simulation of three-dimensional bubbles using desingularized boundary integral method Int J Numer Methods Fluids 31 1999 1311 1320
    • (1999) Int J Numer Methods Fluids , vol.31 , pp. 1311-1320
    • Zhang, Y.L.1    Yeo, K.S.2    Khoo, B.C.3    Chong, W.K.4
  • 10
    • 0036467593 scopus 로고    scopus 로고
    • A meshless, exponential convergence, integration-free and boundary-only RBF technique
    • W. Chen, and M. Tanaka A meshless, exponential convergence, integration-free and boundary-only RBF technique Comput Math Appl 43 2002 379 391
    • (2002) Comput Math Appl , vol.43 , pp. 379-391
    • Chen, W.1    Tanaka, M.2
  • 11
    • 0032029312 scopus 로고    scopus 로고
    • Nonsingular direct formulation of boundary integral equations for potential flows
    • W.S. Hwang, and Y.Y. Huang Nonsingular direct formulation of boundary integral equations for potential flows Int J Numer Methods Fluids 26 1998 627 635
    • (1998) Int J Numer Methods Fluids , vol.26 , pp. 627-635
    • Hwang, W.S.1    Huang, Y.Y.2
  • 12
    • 0032685674 scopus 로고    scopus 로고
    • Numerical studies on desingularized Cauchy's formula with applications to interior potential problems
    • J.M. Chuang Numerical studies on desingularized Cauchy's formula with applications to interior potential problems Int J Numer Methods Eng 46 1999 805 824
    • (1999) Int J Numer Methods Eng , vol.46 , pp. 805-824
    • Chuang, J.M.1
  • 13
    • 0030957279 scopus 로고    scopus 로고
    • Hypersingular boundary integral equation for exterior acoustic problems
    • W.S. Hwang Hypersingular boundary integral equation for exterior acoustic problems J Acoust Soc Am 101 1997 3336 3342
    • (1997) J Acoust Soc Am , vol.101 , pp. 3336-3342
    • Hwang, W.S.1
  • 14
    • 0034172266 scopus 로고    scopus 로고
    • On the singularities of Green's formula and its normal derivative, with an application to surface-wave-body interaction problems
    • S.A. Yang On the singularities of Green's formula and its normal derivative, with an application to surface-wave-body interaction problems Int J Numer Methods Eng 47 2000 1841 1864
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 1841-1864
    • Yang, S.A.1
  • 15
    • 0001032546 scopus 로고
    • The modified quadrature method for logarithmic-kernel integral equations on closed curves
    • J. Saranen The modified quadrature method for logarithmic-kernel integral equations on closed curves J Integral Equations Appl 3 1991 575 600
    • (1991) J Integral Equations Appl , vol.3 , pp. 575-600
    • Saranen, J.1
  • 16
    • 0025102231 scopus 로고
    • An effective method for solving the hypersingular integral equations in 3-D acoustics
    • C.C. Chien, J. Rajiyah, and S.N. Atluri An effective method for solving the hypersingular integral equations in 3-D acoustics J Acoust Soc Am 88 1990 918 937
    • (1990) J Acoust Soc Am , vol.88 , pp. 918-937
    • Chien, C.C.1    Rajiyah, J.2    Atluri, S.N.3
  • 17
    • 0026284899 scopus 로고
    • Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations
    • Y. Lin, and T.J. Rudolphi Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations Eng Anal Boundary Elem 8 1991 301 311
    • (1991) Eng Anal Boundary Elem , vol.8 , pp. 301-311
    • Lin, Y.1    Rudolphi, T.J.2
  • 18
    • 34250092203 scopus 로고
    • Non-hyper-singular integral-representations for velocity (displacement) gradients in elastic/plastic solids (small or finite deformations)
    • H. Okada, J. Rajiyah, and S.N. Atluri Non-hyper-singular integral-representations for velocity (displacement) gradients in elastic/plastic solids (small or finite deformations) Comput Mech 4 1989 165 175
    • (1989) Comput Mech , vol.4 , pp. 165-175
    • Okada, H.1    Rajiyah, J.2    Atluri, S.N.3
  • 19
    • 0002455817 scopus 로고
    • On the evaluation of hyper-singular integral arising in the boundary element method for linear elasticity
    • C.C. Chien, J. Rajiyah, and S.N. Atluri On the evaluation of hyper-singular integral arising in the boundary element method for linear elasticity Comput Mech 8 1991 57 70
    • (1991) Comput Mech , vol.8 , pp. 57-70
    • Chien, C.C.1    Rajiyah, J.2    Atluri, S.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.