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Volumn 117, Issue 4 I, 2005, Pages 1744-1761

Computation of scattering from clusters of spheres using the fast multipole method

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; ALGORITHMS; ITERATIVE METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

EID: 17644408439     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1853017     Document Type: Article
Times cited : (56)

References (25)
  • 2
    • 0022044855 scopus 로고
    • Effective equations for wave propagation in bubbly liquids
    • Caflisch, R., Miksis, M., Papanicolaou, G. C., and Ting, L. (1985). "Effective equations for wave propagation in bubbly liquids," J. Fluid Mech. 153, 259-273.
    • (1985) J. Fluid Mech. , vol.153 , pp. 259-273
    • Caflisch, R.1    Miksis, M.2    Papanicolaou, G.C.3    Ting, L.4
  • 3
    • 84972036403 scopus 로고
    • Sound waves in monodisperse gas-particle or vapor-droplet mixtures
    • Gumerov, N. A., Ivandaev, A. I., and Nigmatulin, R. I. (1988). "Sound waves in monodisperse gas-particle or vapor-droplet mixtures," J. Fluid Mech. 193, 53-74.
    • (1988) J. Fluid Mech. , vol.193 , pp. 53-74
    • Gumerov, N.A.1    Ivandaev, A.I.2    Nigmatulin, R.I.3
  • 4
    • 0029414216 scopus 로고
    • Linear pressure waves in fogs
    • Duraiswami, R., and Prosperetti, A. (1995). "Linear pressure waves in fogs," J. Fluid Mech. 299, 187-215.
    • (1995) J. Fluid Mech. , vol.299 , pp. 187-215
    • Duraiswami, R.1    Prosperetti, A.2
  • 5
    • 36849136182 scopus 로고
    • Multiple scattering of waves
    • Waterman, P. C., and Truell, R. (1961). "Multiple scattering of waves," J. Math. Phys. 2, 512-537.
    • (1961) J. Math. Phys. , vol.2 , pp. 512-537
    • Waterman, P.C.1    Truell, R.2
  • 6
    • 0016102824 scopus 로고
    • Matrix formulation of acoustic scattering from an arbitrary number of scatterers
    • Peterson, B., and Strom, A. (1974). "Matrix formulation of acoustic scattering from an arbitrary number of scatterers," J. Acoust. Soc. Am. 56, 771-780.
    • (1974) J. Acoust. Soc. Am. , vol.56 , pp. 771-780
    • Peterson, B.1    Strom, A.2
  • 8
    • 0027876061 scopus 로고
    • A recursive T-matrix approach for the solution of electromagnetic scattering by many spheres
    • Wang, Y. M., and Chew, W. C. (1993). "A recursive T-matrix approach for the solution of electromagnetic scattering by many spheres," IEEE Trans. Antennas Propag. 41, 1633-1639.
    • (1993) IEEE Trans. Antennas Propag. , vol.41 , pp. 1633-1639
    • Wang, Y.M.1    Chew, W.C.2
  • 10
    • 0032006826 scopus 로고    scopus 로고
    • Calculation of acoustical scattering from a cluster of scatterers
    • Koc, S., and Chew, W. C. (1998). "Calculation of acoustical scattering from a cluster of scatterers," J. Acoust. Soc. Am. 103, 721-734.
    • (1998) J. Acoust. Soc. Am. , vol.103 , pp. 721-734
    • Koc, S.1    Chew, W.C.2
  • 11
    • 0041423295 scopus 로고    scopus 로고
    • Computation of scattering from N spheres using multipole reexpansion
    • Gumerov, N. A., and Duraiswami, R. (2002). "Computation of scattering from N spheres using multipole reexpansion," J. Acoust. Soc. Am. 112, 2688-2701.
    • (2002) J. Acoust. Soc. Am. , vol.112 , pp. 2688-2701
    • Gumerov, N.A.1    Duraiswami, R.2
  • 12
    • 4444245156 scopus 로고    scopus 로고
    • A fast Fourier transform on multipoles (FFTM) algorithm for solving Helmholtz equation in acoustic analysis
    • Ong, E. T., Heow, P. L., and Kian, M. L. (2004). "A fast Fourier transform on multipoles (FFTM) algorithm for solving Helmholtz equation in acoustic analysis," J. Acoust. Soc. Am. 116, 1362-1371.
    • (2004) J. Acoust. Soc. Am. , vol.116 , pp. 1362-1371
    • Ong, E.T.1    Heow, P.L.2    Kian, M.L.3
  • 13
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard, L., and Rokhlin, V. (1987). "A fast algorithm for particle simulations," J. Comput. Phys. 73, 325-348.
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 14
    • 5844419608 scopus 로고    scopus 로고
    • An O(N) algorithm for Stokes and Laplace interactions of particles
    • Sangani, A. S., and Mo, G. (1996). "An O(N) algorithm for Stokes and Laplace interactions of particles," Phys. Fluids 8, 1990-2010.
    • (1996) Phys. Fluids , vol.8 , pp. 1990-2010
    • Sangani, A.S.1    Mo, G.2
  • 15
    • 0027851427 scopus 로고
    • Diagonal forms of translation operators for the Helmholtz equation in three dimensions
    • Rokhlin, V. (1993). "Diagonal forms of translation operators for the Helmholtz equation in three dimensions," Appl. Comput. Harmon. Anal. 1, 82-93.
    • (1993) Appl. Comput. Harmon. Anal. , vol.1 , pp. 82-93
    • Rokhlin, V.1
  • 17
    • 0000893843 scopus 로고    scopus 로고
    • The fast multipole method: Numerical implementation
    • Darve, E. (2000a). "The fast multipole method: numerical implementation," J. Comput. Phys. 160, 195-240.
    • (2000) J. Comput. Phys. , vol.160 , pp. 195-240
    • Darve, E.1
  • 18
    • 4043059961 scopus 로고    scopus 로고
    • Recursions for the computation of multipole translation and rotation coefficients for the 3-D Helmholtz equation
    • Gumerov, N. A., and Duraiswami, R. (2003). "Recursions for the computation of multipole translation and rotation coefficients for the 3-D Helmholtz equation," SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 25, 1344-1381.
    • (2003) SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. , vol.25 , pp. 1344-1381
    • Gumerov, N.A.1    Duraiswami, R.2
  • 22
    • 0344508301 scopus 로고    scopus 로고
    • Data Structures, Optimal Choice of Parameters, and Complexity Results for Generalized Multilevel Fast Multipole Methods in d Dimensions
    • also CS-TR-#4458
    • Gumerov, N. A., Duraiswami, R., and Borovikov, E. A. (2003). "Data Structures, Optimal Choice of Parameters, and Complexity Results for Generalized Multilevel Fast Multipole Methods in d Dimensions," University of Maryland Institute for Advanced Computer Studies Technical Report UMIACS-TR-#2003-28; also CS-TR-#4458. (Available at http://www.cs.umd.edu/Library/TRs/CS-TR-4458/CS- TR-4458.pdf.)
    • (2003) University of Maryland Institute for Advanced Computer Studies Technical Report UMIACS-TR-#2003-28
    • Gumerov, N.A.1    Duraiswami, R.2    Borovikov, E.A.3
  • 23
    • 0001229383 scopus 로고    scopus 로고
    • Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem
    • Koc, S., Song, J., and Chew, W. C. (1999). "Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 36, 906-921.
    • (1999) SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. , vol.36 , pp. 906-921
    • Koc, S.1    Song, J.2    Chew, W.C.3
  • 24
    • 0034455094 scopus 로고    scopus 로고
    • The fast multipole method I: Error analysis and asymptotic complexity
    • Darve, E. (2000b). "The fast multipole method I: error analysis and asymptotic complexity," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 38, 98-128.
    • (2000) SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. , vol.38 , pp. 98-128
    • Darve, E.1
  • 25
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • USA
    • Saad, Y. (1993). "A flexible inner-outer preconditioned GMRES algorithm," SIAM J. Sci. Comput. (USA) 14, 461-469.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 461-469
    • Saad, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.