메뉴 건너뛰기




Volumn 20, Issue 6, 2004, Pages 613-622

Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions

Author keywords

2D elastic solid with inclusions; Boundary element; Effective property; Fast multipole; GMRES

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; ELASTICITY; INCLUSIONS; ITERATIVE METHODS; TWO DIMENSIONAL;

EID: 13244256065     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02485865     Document Type: Article
Times cited : (37)

References (15)
  • 1
    • 33846349887 scopus 로고
    • A hierarchical O(NlogN) force calculation algorithm
    • Barnes J, Hut P. A hierarchical O(NlogN) force calculation algorithm. Nature, 1986, 324: 446-449
    • (1986) Nature , vol.324 , pp. 446-449
    • Barnes, J.1    Hut, P.2
  • 2
    • 0031206344 scopus 로고    scopus 로고
    • A fast algorithm for particle simulations
    • Greengrad L, Rokhlin V. A fast algorithm for particle simulations. J Comput Phys, 1997, 135: 280-292
    • (1997) J Comput Phys , vol.135 , pp. 280-292
    • Greengrad, L.1    Rokhlin, V.2
  • 3
    • 2942609063 scopus 로고
    • A multipole boundary element method for two dimensional elastostatics
    • Technical Reports 1995, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, METR 95-07
    • Yamada Y, Hayami K. A multipole boundary element method for two dimensional elastostatics. Technical Reports 1995, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, METR 95-07. 1-20
    • (1995) , pp. 1-20
    • Yamada, Y.1    Hayami, K.2
  • 4
    • 0029479424 scopus 로고
    • A spectral multipole method for efficient solutions of large scale boundary element models in elastostatics
    • Pierce AP, Napier JAL. A spectral multipole method for efficient solutions of large scale boundary element models in elastostatics. Int J Numer Methods Engng, 1995, 38: 4009-4034
    • (1995) Int J Numer Methods Engng , vol.38 , pp. 4009-4034
    • Pierce, A.P.1    Napier, J.A.L.2
  • 5
    • 0032141405 scopus 로고    scopus 로고
    • A fast solution method for three-dimensional many-particle problems of linear elasticity
    • Fu YH, Klimkowski KJ, Rodin GJ, et al. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int J Numer Methods Engng, 1998, 42: 1215-1229
    • (1998) Int J Numer Methods Engng , vol.42 , pp. 1215-1229
    • Fu, Y.H.1    Klimkowski, K.J.2    Rodin, G.J.3
  • 6
    • 0035094497 scopus 로고    scopus 로고
    • An O(N) Taylor series multipole boundary element method for three-dimensional elasticity problems
    • Popov V, Power H. An O(N) Taylor series multipole boundary element method for three-dimensional elasticity problems. Engineering Analysis with Boundary Elements, 2001, 25: 7-18
    • (2001) Engineering Analysis with Boundary Elements , vol.25 , pp. 7-18
    • Popov, V.1    Power, H.2
  • 8
    • 0031272338 scopus 로고    scopus 로고
    • Fast multipole method as an efficient solver for 2D elastic wave surface integral equations
    • Chen YH, Chew WC, Zeroug S. Fast multipole method as an efficient solver for 2D elastic wave surface integral equations. Comput Mech, 1997, 20: 495-506
    • (1997) Comput Mech , vol.20 , pp. 495-506
    • Chen, Y.H.1    Chew, W.C.2    Zeroug, S.3
  • 9
    • 0032203448 scopus 로고    scopus 로고
    • An improved fast multipole algorithm for potential fields
    • Hrycak T, Rokhlin V. An improved fast multipole algorithm for potential fields. SIAM J Sci Comput, 1998, 19: 1804-1826
    • (1998) SIAM J Sci Comput , vol.19 , pp. 1804-1826
    • Hrycak, T.1    Rokhlin, V.2
  • 10
    • 0000362580 scopus 로고    scopus 로고
    • A fast adaptive multipole algorithm in three dimensions
    • Cheng H, Greengard L, Rokhlin V. A fast adaptive multipole algorithm in three dimensions. J Comput Phys, 1999, 155: 468-498
    • (1999) J Comput Phys , vol.155 , pp. 468-498
    • Cheng, H.1    Greengard, L.2    Rokhlin, V.3
  • 11
    • 0035302074 scopus 로고    scopus 로고
    • Application of new fast multipole boundary integral equation method to crack problems in 3D
    • Yoshida K, Nishimura N, Kobayashi S. Application of new fast multipole boundary integral equation method to crack problems in 3D. Engineering Analysis with Boundary Elements, 2001, 25: 239-247
    • (2001) Engineering Analysis with Boundary Elements , vol.25 , pp. 239-247
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3
  • 12
    • 0032136801 scopus 로고    scopus 로고
    • On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites
    • Greengard V, Helsing J. On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites. J Mech Phys Solids, 1998, 46(8): 1441-1462
    • (1998) J Mech Phys Solids , vol.46 , Issue.8 , pp. 1441-1462
    • Greengard, V.1    Helsing, J.2
  • 13
    • 0036491037 scopus 로고    scopus 로고
    • BEM for simulation of a 2D elastic body with randomly distributed circular inclusions
    • Kong FZ, Yao ZH, Zheng XP. BEM for simulation of a 2D elastic body with randomly distributed circular inclusions. Acta Mechanica Solida Sinica, 2002, 15(1): 81-88
    • (2002) Acta Mechanica Solida Sinica , vol.15 , Issue.1 , pp. 81-88
    • Kong, F.Z.1    Yao, Z.H.2    Zheng, X.P.3
  • 14
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
    • Saad Y, Schultz MH. GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput, 1986, 7: 856-869
    • (1986) SIAM J Sci Stat Comput , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 15
    • 0004778733 scopus 로고    scopus 로고
    • Application of the fast multipole method to the 3D BEM analysis of electron guns
    • Marchetti M.(ed.), Southampton: Computational Mechanics Publications
    • Nishida T, Hayami K. Application of the fast multipole method to the 3D BEM analysis of electron guns. In: Marchetti M, ed. Boundary Elements XIX. Southampton: Computational Mechanics Publications 1997. 613-622
    • (1997) Boundary Elements XIX , pp. 613-622
    • Nishida, T.1    Hayami, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.