메뉴 건너뛰기




Volumn 63, Issue 5, 2005, Pages 660-680

The hybrid boundary node method accelerated by fast multipole expansion technique for 3D potential problems

Author keywords

Fast multipole method; Hybrid boundary node method; Meshless method; Moving least squares approximation

Indexed keywords

C (PROGRAMMING LANGUAGE); COMPUTER SIMULATION; EXPANSION; GREEN'S FUNCTION; LAPLACE TRANSFORMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; TREES (MATHEMATICS); VECTORS;

EID: 20444435025     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1292     Document Type: Article
Times cited : (41)

References (22)
  • 3
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless local Petrov-Galerkin approach in computational mechanics. Computational Mechanics 1998; 22 :117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 9
    • 1842853878 scopus 로고    scopus 로고
    • The regular hybrid boundary node method for three-dimensional linear elasticity
    • Zhang JM, Yao ZH. The regular hybrid boundary node method for three-dimensional linear elasticity. Engineering Analysis with Boundary Elements 2004; 28:525-534.
    • (2004) Engineering Analysis With Boundary Elements , vol.28 , pp. 525-534
    • Zhang, J.M.1    Yao, Z.H.2
  • 10
    • 0036489979 scopus 로고    scopus 로고
    • Analysis of 2-D thin structures by the meshless regular hybrid boundary node method
    • Zhang JM, Yao ZH. Analysis of 2-D thin structures by the meshless regular hybrid boundary node method. Acta Mechanica Sinica 2002; 15:36-44.
    • (2002) Acta Mechanica Sinica , vol.15 , pp. 36-44
    • Zhang, J.M.1    Yao, Z.H.2
  • 11
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin V. Rapid solution of integral equations of classical potential theory. Journal of Computational Physics 1985; 60:187-207.
    • (1985) Journal of Computational Physics , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 13
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • Greengard L, Rokhlin V. A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numerica 1997; 6 :229-269.
    • (1997) Acta Numerica , vol.6 , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 15
    • 0000151061 scopus 로고
    • Preconditioned, adaptive, multipole-accelerated iterative methods for three-dimensional first-kind integral equations of potential theory
    • Nabors K, Korsmeyer FT, Leighton FT, White J. Preconditioned, adaptive, multipole-accelerated iterative methods for three-dimensional first-kind integral equations of potential theory. SIAM Journal on Scientific Computing 1994; 15:713-735.
    • (1994) SIAM Journal on Scientific Computing , vol.15 , pp. 713-735
    • Nabors, K.1    Korsmeyer, F.T.2    Leighton, F.T.3    White, J.4
  • 16
    • 0004778733 scopus 로고    scopus 로고
    • Application of the fast multipole method to the 3D BEM analysis of electron guns
    • Marchettia M, Brebbia CA, Aliabadi MH (eds). Computational Mechanics Publications: Southampton
    • Nishida T, Hayami K. Application of the fast multipole method to the 3D BEM analysis of electron guns. In Boundary Elements XIX, Marchettia M, Brebbia CA, Aliabadi MH (eds). Computational Mechanics Publications: Southampton, 1997; 613-622.
    • (1997) Boundary Elements XIX , pp. 613-622
    • Nishida, T.1    Hayami, K.2
  • 18
    • 0001779917 scopus 로고
    • A new hybrid displacement variational formulation of BEM for elastostatics
    • Brebbia CA, Conner JJ (eds), Computational Mechanics Publications: Southampton
    • DeFigueredo TGB, Brebbia CA. A new hybrid displacement variational formulation of BEM for elastostatics. In Advances in Boundary Elements, Brebbia CA, Conner JJ (eds), vol. 1. Computational Mechanics Publications: Southampton, 1989; 47-57.
    • (1989) Advances in Boundary Elements , vol.1 , pp. 47-57
    • DeFigueredo, T.G.B.1    Brebbia, C.A.2
  • 19
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
    • Atluri SN, Kim HG, Cho JY. A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Computational Mechanics 1999; 24:348-372.
    • (1999) Computational Mechanics , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 20
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear system
    • Saad Y, Schultz MH. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear system. SIAM Journal on Scientific and Statistical Computing 1986; 7:856-869.
    • (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 21
    • 3042635456 scopus 로고    scopus 로고
    • Heat conduction analysis in bodies containing thin-walled structures by means of Hybrid BNM with an application to CNT-based composites
    • (Series A)
    • Zhang JM, Tanaka M, Matsumoto T, Guzik A. Heat conduction analysis in bodies containing thin-walled structures by means of Hybrid BNM with an application to CNT-based composites. JSME International Journal, Solid Mechanics and Material Engineering (Series A) 2004; 47 :181-188.
    • (2004) JSME International Journal, Solid Mechanics and Material Engineering , vol.47 , pp. 181-188
    • Zhang, J.M.1    Tanaka, M.2    Matsumoto, T.3    Guzik, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.