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Volumn 4, Issue 4, 2006, Pages 487-500

A fast multipole boundary integral equation method for periodic boundary value problems in three-dimensional elastostatics and its application to homogenization

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EID: 33846697343     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.v4.i4.60     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0038377193 scopus 로고    scopus 로고
    • Fast multipole accelerated boundary integral equation methods
    • Nishimura, N., Fast multipole accelerated boundary integral equation methods. Appl. Mech. Rev. 55:299-324, 2002.
    • (2002) Appl. Mech. Rev , vol.55 , pp. 299-324
    • Nishimura, N.1
  • 2
    • 19944386956 scopus 로고    scopus 로고
    • Large-scale modeling of carbon-nanotube composites by a fast multipole boundary element method
    • Liu, Y. J., Nishimura, N., and Otani, Y., Large-scale modeling of carbon-nanotube composites by a fast multipole boundary element method. Comput. Materials Sci., 34:173-187, 2005.
    • (2005) Comput. Materials Sci , vol.34 , pp. 173-187
    • Liu, Y.J.1    Nishimura, N.2    Otani, Y.3
  • 3
    • 0342323731 scopus 로고    scopus 로고
    • Boundary element method homogenization of the periodic linear elastic fiber composites, simulations
    • Kamiński, M., Boundary element method homogenization of the periodic linear elastic fiber composites, simulations. Eng. Anal. Boundary Elements, 23:815-823, 1999.
    • (1999) Eng. Anal. Boundary Elements , vol.23 , pp. 815-823
    • Kamiński, M.1
  • 4
    • 0035479896 scopus 로고    scopus 로고
    • Homogenization of linear and of debonding composites using the BEM
    • Procházka, P., Homogenization of linear and of debonding composites using the BEM. Eng. Anal. Boundary Elements, 25:753-769, 2001.
    • (2001) Eng. Anal. Boundary Elements , vol.25 , pp. 753-769
    • Procházka, P.1
  • 5
    • 0035415860 scopus 로고    scopus 로고
    • Homogenization method for heterogeneous material based on boundary element method
    • Okada, H., Fukui, Y., and Kumazawa, N., Homogenization method for heterogeneous material based on boundary element method. Comput. Struct., 79:1987-2007, 2001.
    • (2001) Comput. Struct , vol.79 , pp. 1987-2007
    • Okada, H.1    Fukui, Y.2    Kumazawa, N.3
  • 6
    • 0037738927 scopus 로고    scopus 로고
    • A wavelet method for reducing the computational cost of BE-based homogenization analysis
    • Koro, K., and Abe, K., A wavelet method for reducing the computational cost of BE-based homogenization analysis, Eng. Anal. Boundary Elements, 27:439-454, 2003.
    • (2003) Eng. Anal. Boundary Elements , vol.27 , pp. 439-454
    • Koro, K.1    Abe, K.2
  • 7
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard, L., and Rokhlin, V., A fast algorithm for particle simulations. J. Comput. Phys., 73:325-348, 1987.
    • (1987) J. Comput. Phys , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 8
    • 0032136801 scopus 로고    scopus 로고
    • On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites
    • Greengard, L., and Helsing, J., On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites. J. Mech. Phys. Solids, 46:1441-1462, 1998.
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 1441-1462
    • Greengard, L.1    Helsing, J.2
  • 9
    • 17144362584 scopus 로고    scopus 로고
    • Periodic conduction problems: The fast multipole method and convergence of integral equations and lattice sums
    • Rodin, G. J., and Overfelt, J. R., Periodic conduction problems: The fast multipole method and convergence of integral equations and lattice sums. Proc. R. Soc. London, Ser. A., 460:2883-2902, 2004.
    • (2004) Proc. R. Soc. London, Ser. A , vol.460 , pp. 2883-2902
    • Rodin, G.J.1    Overfelt, J.R.2
  • 10
    • 5844419608 scopus 로고    scopus 로고
    • An O(N) algorithm for Stokes and Laplace interactions of particles
    • Sangani, A. S., and Mo, G., An O(N) algorithm for Stokes and Laplace interactions of particles. Phys. Fluids, 8:1990-2010, 1996.
    • (1996) Phys. Fluids , vol.8 , pp. 1990-2010
    • Sangani, A.S.1    Mo, G.2
  • 11
    • 0034687899 scopus 로고    scopus 로고
    • An efficient algorithm for hydrodynamical interaction of many deformable drops
    • Zinchenko, A. Z., and Davis, R. H., An efficient algorithm for hydrodynamical interaction of many deformable drops, J. Comput. Phys., 157:539-587, 2002.
    • (2002) J. Comput. Phys , vol.157 , pp. 539-587
    • Zinchenko, A.Z.1    Davis, R.H.2
  • 12
    • 1342286503 scopus 로고    scopus 로고
    • Integral equation methods for Stokes flow in doubly-periodic domains
    • Greengard, L., and Kropinski, M. C., Integral equation methods for Stokes flow in doubly-periodic domains. J. Eng. Math., 48:157-170, 2004.
    • (2004) J. Eng. Math , vol.48 , pp. 157-170
    • Greengard, L.1    Kropinski, M.C.2
  • 13
    • 0042495088 scopus 로고
    • Remarks on some asymptotic problems in composite and in perforated materials
    • Nemat-Nasser, S, ed, Pergamon, Oxford
    • Lions, J. L., Remarks on some asymptotic problems in composite and in perforated materials. In Variational Methods in the Mechanics of Solids, Nemat-Nasser, S., ed., Pergamon, Oxford, 3-20, 1980.
    • (1980) Variational Methods in the Mechanics of Solids , pp. 3-20
    • Lions, J.L.1
  • 14
    • 0035124335 scopus 로고    scopus 로고
    • Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D
    • Yoshida, K., Nishimura, N., and Kobayashi, S., Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D. Int. J. Numer. Methods Eng., 50:525-547, 2001.
    • (2001) Int. J. Numer. Methods Eng , vol.50 , pp. 525-547
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3
  • 15
    • 33846680854 scopus 로고    scopus 로고
    • An FMM for periodic rigid-inclusion problems and its application to homogenisation
    • Ammari, H, and Kang, H, eds, American Mathematical Societ, Providence
    • Houzaki, K., Nishimura, N., and Otani, Y., An FMM for periodic rigid-inclusion problems and its application to homogenisation. In Proceedings of Conference on Inverse Problems, Multiscale Analysis and Homogenization, Ammari, H., and Kang, H., eds., American Mathematical Societ, Providence, 81-98, 2006.
    • (2006) Proceedings of Conference on Inverse Problems, Multiscale Analysis and Homogenization , pp. 81-98
    • Houzaki, K.1    Nishimura, N.2    Otani, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.