메뉴 건너뛰기




Volumn 460, Issue 2050, 2004, Pages 2883-2902

Periodic conduction problems: The fast multipole method and convergence of integral equations and lattice sums

Author keywords

Boundary element method (BEM); Fast multipole method (FMM); Lattice sums; Periodic boundary value problem

Indexed keywords

ARTICLE; ATTENTION; CONDUCTANCE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; STANDARDIZATION;

EID: 17144362584     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2004.1318     Document Type: Article
Times cited : (3)

References (28)
  • 3
    • 21844511115 scopus 로고
    • A renormalization method for the evaluation of lattice sums
    • Berman, C. L. & Greengard, L. 1994 A renormalization method for the evaluation of lattice sums. J. Math. Phys. 35(11), 6036-6048.
    • (1994) J. Math. Phys. , vol.35 , Issue.11 , pp. 6036-6048
    • Berman, C.L.1    Greengard, L.2
  • 4
    • 0000579031 scopus 로고
    • The effective conductivity of random suspensions of spherical particles
    • Bonnecaze, R. T. & Brady, J. F. 1991 The effective conductivity of random suspensions of spherical particles. Proc. R. Soc. Lond. A 432, 445-465.
    • (1991) Proc. R. Soc. Lond. A , vol.432 , pp. 445-465
    • Bonnecaze, R.T.1    Brady, J.F.2
  • 7
    • 0000362326 scopus 로고
    • Theory of structured continua. I. General consideration of angular momentum and polarization
    • Dahler, J. S. & Scriven, L. E. 1963 Theory of structured continua. I. General consideration of angular momentum and polarization. Proc. R. Soc. Lond. A 275, 504-527.
    • (1963) Proc. R. Soc. Lond. A , vol.275 , pp. 504-527
    • Dahler, J.S.1    Scriven, L.E.2
  • 8
    • 0033897996 scopus 로고    scopus 로고
    • Fast solution method for three-dimensional Stokesian many-particle problems
    • Fu, Y. & Rodin, G. J. 2000 Fast solution method for three-dimensional Stokesian many-particle problems. Commun. Numer. Meth. Engng 16(2), 145-149.
    • (2000) Commun. Numer. Meth. Engng. , vol.16 , Issue.2 , pp. 145-149
    • Fu, Y.1    Rodin, G.J.2
  • 10
    • 0032136801 scopus 로고    scopus 로고
    • On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites
    • Greengard, L. & Helsing, J. 1998 On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites. J. Mech. Phys. Solids 46(8), 1441-1462.
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.8 , pp. 1441-1462
    • Greengard, L.1    Helsing, J.2
  • 11
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard, L. & Rokhlin, V. 1987 A fast algorithm for particle simulations. J. Computat. Phys. 73, 325-348.
    • (1987) J. Computat. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 12
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • Greengard, L. & Rokhlin, V. 1997 A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numer. 6, 229-270.
    • (1997) Acta Numer. , vol.6 , pp. 229-270
    • Greengard, L.1    Rokhlin, V.2
  • 13
    • 0041847721 scopus 로고
    • Theory of elastic constants of heterogeneous media
    • Korringa, J. 1973 Theory of elastic constants of heterogeneous media. J. Math. Phys. 14(4), 509-513.
    • (1973) J. Math. Phys. , vol.14 , Issue.4 , pp. 509-513
    • Korringa, J.1
  • 14
    • 0042530122 scopus 로고    scopus 로고
    • Fast boundary element method for three dimensional solids containing multiple cracks
    • Lai, Y.-S. & Rodin, G. J. 2003 Fast boundary element method for three dimensional solids containing multiple cracks. Engng Analysis Bound. Elem. 27(8), 845-852.
    • (2003) Engng. Analysis Bound. Elem. , vol.27 , Issue.8 , pp. 845-852
    • Lai, Y.-S.1    Rodin, G.J.2
  • 15
    • 0000243624 scopus 로고
    • Conductivity of lattices of spheres. II. Body centred and face centred cubic lattices
    • McKenzie, D. R., McPhedran, R. C. & Derrick, G. H. 1978 Conductivity of lattices of spheres. II. Body centred and face centred cubic lattices. Proc. R. Soc. Lond. A 362, 211-232.
    • (1978) Proc. R. Soc. Lond. A , vol.362 , pp. 211-232
    • McKenzie, D.R.1    McPhedran, R.C.2    Derrick, G.H.3
  • 16
    • 0002251572 scopus 로고
    • Conductivity of lattices of spheres. I. The simple cubic lattice
    • McPhedran, R. C. & McKenzie, D. R. 1978 Conductivity of lattices of spheres. I. The simple cubic lattice. Proc. R. Soc. Lond. A 359, 45-63.
    • (1978) Proc. R. Soc. Lond. A , vol.359 , pp. 45-63
    • McPhedran, R.C.1    McKenzie, D.R.2
  • 17
    • 0038377193 scopus 로고    scopus 로고
    • Fast multipole accelerated boundary integral equation methods
    • Nishimura, N. 2002 Fast multipole accelerated boundary integral equation methods. Appl. Mech. Rev. 55(4), 299-324.
    • (2002) Appl. Mech. Rev. , vol.55 , Issue.4 , pp. 299-324
    • Nishimura, N.1
  • 18
    • 0032762829 scopus 로고    scopus 로고
    • A fast multipole boundary integral equation method for crack problems in 3D
    • Nishimura, N., Yoshida, K.-I. & Kobayashi, S. 1999 A fast multipole boundary integral equation method for crack problems in 3D. Engng Analysis Bound. Elem. 23(1), 97-105.
    • (1999) Engng. Analysis Bound. Elem. , vol.23 , Issue.1 , pp. 97-105
    • Nishimura, N.1    Yoshida, K.-I.2    Kobayashi, S.3
  • 19
    • 0018785456 scopus 로고
    • A method for the calculation of the effective transport properties of suspensions of interacting particles
    • O'Brien, R. W. 1979 A method for the calculation of the effective transport properties of suspensions of interacting particles. J. Fluid Mech. 91(1), 17-39.
    • (1979) J. Fluid Mech. , vol.91 , Issue.1 , pp. 17-39
    • O'Brien, R.W.1
  • 20
    • 0032041269 scopus 로고    scopus 로고
    • Towards rapid evaluation of the elastic interactions among three-dimensional dislocations
    • Rodin, G. J. 1998 Towards rapid evaluation of the elastic interactions among three-dimensional dislocations. Phil. Mag. Lett. 77(4), 187-190.
    • (1998) Phil. Mag. Lett. , vol.77 , Issue.4 , pp. 187-190
    • Rodin, G.J.1
  • 21
    • 5844419608 scopus 로고    scopus 로고
    • An O(N) algorithm for Stokes and Laplace interactions of particles
    • Sangani, A. S. & Mo, G. 1996 An O(N) algorithm for Stokes and Laplace interactions of particles. Phys. Fluids 8(8), 1990-2010.
    • (1996) Phys. Fluids , vol.8 , Issue.8 , pp. 1990-2010
    • Sangani, A.S.1    Mo, G.2
  • 22
    • 34249919671 scopus 로고
    • Implementing the fast multipole method in 3 dimensions
    • Schmidt, K. E. & Lee, M. A. 1991 Implementing the fast multipole method in 3 dimensions. J. Stat. Phys. 63, 1223-1235.
    • (1991) J. Stat. Phys. , vol.63 , pp. 1223-1235
    • Schmidt, K.E.1    Lee, M.A.2
  • 23
    • 21744456639 scopus 로고    scopus 로고
    • Erratum: Implementing the fast multipole method in 3 dimensions
    • Schmidt, K. E. & Lee, M. A. 1997a Erratum: implementing the fast multipole method in 3 dimensions. J. Stat. Phys. 87, 955.
    • (1997) J. Stat. Phys. , vol.87 , pp. 955
    • Schmidt, K.E.1    Lee, M.A.2
  • 24
    • 0031256211 scopus 로고    scopus 로고
    • Multipole Ewald sums for the fast multipole method
    • Schmidt, K. E. & Lee, M. A. 1997b Multipole Ewald sums for the fast multipole method. J. Stat. Phys. 89, 411-424.
    • (1997) J. Stat. Phys. , vol.89 , pp. 411-424
    • Schmidt, K.E.1    Lee, M.A.2
  • 25
    • 0029487474 scopus 로고
    • Parallel implementation of the fast multipole method with periodic boundary conditions
    • Singer, J. K. 1995 Parallel implementation of the fast multipole method with periodic boundary conditions. East-West J. Numer. Math. 3(3), 199-216.
    • (1995) East-West J. Numer. Math. , vol.3 , Issue.3 , pp. 199-216
    • Singer, J.K.1
  • 26
    • 0000784999 scopus 로고
    • An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres
    • Zinchenko, A. Z. 1994 An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres. J. Chem. Phys. 111(1), 120-135.
    • (1994) J. Chem. Phys. , vol.111 , Issue.1 , pp. 120-135
    • Zinchenko, A.Z.1
  • 27
    • 0034687899 scopus 로고    scopus 로고
    • An efficient algorithm for hydrodynamical interaction of many deformable drops
    • Zinchenko, A. Z. & Davis, R. H. 2000 An efficient algorithm for hydrodynamical interaction of many deformable drops. J. Computat. Phys. 157, 539-587.
    • (2000) J. Computat. Phys. , vol.157 , pp. 539-587
    • Zinchenko, A.Z.1    Davis, R.H.2
  • 28
    • 0037171409 scopus 로고    scopus 로고
    • Shear flow of highly concentrated emulsions of deformable drops by numerical simulations
    • Zinchenko, A. Z. & Davis, R. H. 2002 Shear flow of highly concentrated emulsions of deformable drops by numerical simulations. J. Fluid Mech. 455, 21-62.
    • (2002) J. Fluid Mech. , vol.455 , pp. 21-62
    • Zinchenko, A.Z.1    Davis, R.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.