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Volumn 197, Issue 49-50, 2008, Pages 4233-4249

A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain

Author keywords

3 D elastodynamics; Boundary element method; Fast multipole method; Seismic wave; Topographic site effects

Indexed keywords

COMPUTATIONAL EFFICIENCY; FREQUENCY DOMAIN ANALYSIS; INVERSE PROBLEMS; SAILING VESSELS; SEISMIC WAVES;

EID: 52749096207     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.04.024     Document Type: Article
Times cited : (114)

References (58)
  • 2
    • 0043234061 scopus 로고    scopus 로고
    • Sparse approximation inverse preconditioning for dense linear systems arising in computational electromagnetics
    • Alléon G., Benzi M., and Giraud L. Sparse approximation inverse preconditioning for dense linear systems arising in computational electromagnetics. Numer. Algor. 16 (1997) 1-15
    • (1997) Numer. Algor. , vol.16 , pp. 1-15
    • Alléon, G.1    Benzi, M.2    Giraud, L.3
  • 6
    • 0014627423 scopus 로고
    • Numerical solutions in three-dimensional elastostatics
    • Cruse T.A. Numerical solutions in three-dimensional elastostatics. Int. J. Solids Struct. 5 (1969) 1259-1274
    • (1969) Int. J. Solids Struct. , vol.5 , pp. 1259-1274
    • Cruse, T.A.1
  • 7
    • 28144462025 scopus 로고    scopus 로고
    • A simple and efficient regularization method for 3D BEM: application to frequency-domain elastodynamics
    • Dangla P., Semblat J.F., Xiao H., and Delépine N. A simple and efficient regularization method for 3D BEM: application to frequency-domain elastodynamics. Bull. Seism. Soc. Am. 95 (2005) 1916-1927
    • (2005) Bull. Seism. Soc. Am. , vol.95 , pp. 1916-1927
    • Dangla, P.1    Semblat, J.F.2    Xiao, H.3    Delépine, N.4
  • 8
    • 0000893843 scopus 로고    scopus 로고
    • The fast multipole method: numerical implementation
    • Darve E. The fast multipole method: numerical implementation. J. Comput. Phys. 160 (2000) 195-240
    • (2000) J. Comput. Phys. , vol.160 , pp. 195-240
    • Darve, E.1
  • 9
    • 0034455094 scopus 로고    scopus 로고
    • The fast multipole method: I. Error analysis and asymptotic complexity
    • Darve E. The fast multipole method: I. Error analysis and asymptotic complexity. SIAM J. Numer. Anal. 38 (2000) 98-128
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 98-128
    • Darve, E.1
  • 10
    • 1642292676 scopus 로고    scopus 로고
    • A fast multipole method for Maxwell equations stable at all frequencies
    • Darve E., and Havé P. A fast multipole method for Maxwell equations stable at all frequencies. Philos. Trans. Roy. Soc. A (London) 362 (2004) 603-628
    • (2004) Philos. Trans. Roy. Soc. A (London) , vol.362 , pp. 603-628
    • Darve, E.1    Havé, P.2
  • 11
    • 0001698339 scopus 로고
    • Multipole translation theory for the three-dimensional Laplace and Helmholtz equations
    • Epton M.A., and Dembart B. Multipole translation theory for the three-dimensional Laplace and Helmholtz equations. SIAM J. Sci. Comput. 16 (1995) 865-897
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 865-897
    • Epton, M.A.1    Dembart, B.2
  • 13
    • 0024856982 scopus 로고
    • Scattering of plane harmonic SH, SV, P and Rayleigh waves by non-axisymmetric three-dimensional canyons: a wave function expansion approach
    • Eshraghi H., and Dravinski M. Scattering of plane harmonic SH, SV, P and Rayleigh waves by non-axisymmetric three-dimensional canyons: a wave function expansion approach. Earthquake Engng. Struct. Dyn. 18 (1989) 983-998
    • (1989) Earthquake Engng. Struct. Dyn. , vol.18 , pp. 983-998
    • Eshraghi, H.1    Dravinski, M.2
  • 14
    • 18644376102 scopus 로고    scopus 로고
    • Application of the fast multipole BEM for structural-acoustic simulations
    • Fischer M., and Gaul L. Application of the fast multipole BEM for structural-acoustic simulations. J. Comput. Acoust. 13 (2005) 87-98
    • (2005) J. Comput. Acoust. , vol.13 , pp. 87-98
    • Fischer, M.1    Gaul, L.2
  • 15
    • 52749085375 scopus 로고    scopus 로고
    • V. Frayssé, L. Giraud, S. Gratton, J. Langou, A Set of GMRES Routines for Real and Complex Arithmetics. (2007).
    • V. Frayssé, L. Giraud, S. Gratton, J. Langou, A Set of GMRES Routines for Real and Complex Arithmetics. (2007).
  • 16
    • 0031716937 scopus 로고    scopus 로고
    • The fast multipole method for the integral equations of seismic scattering problems
    • Fujiwara H. The fast multipole method for the integral equations of seismic scattering problems. Geophys. J. Int. 133 (1998) 773-782
    • (1998) Geophys. J. Int. , vol.133 , pp. 773-782
    • Fujiwara, H.1
  • 17
    • 0034057717 scopus 로고    scopus 로고
    • The fast multipole method for solving integral equations of three-dimensional topography and basin problems
    • Fujiwara H. The fast multipole method for solving integral equations of three-dimensional topography and basin problems. Geophys. J. Int. 140 (2000) 198-210
    • (2000) Geophys. J. Int. , vol.140 , pp. 198-210
    • Fujiwara, H.1
  • 20
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard L., and Rokhlin V. A fast algorithm for particle simulations. J. Comput. Phys. 73 (1987) 325-348
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 22
    • 0035250183 scopus 로고    scopus 로고
    • On the analysis of wave motions in a multi-layered solid
    • Guzina B.B., and Pak R.Y.S. On the analysis of wave motions in a multi-layered solid. Quart. J. Mech. Appl. Math. 54 (2001) 13-37
    • (2001) Quart. J. Mech. Appl. Math. , vol.54 , pp. 13-37
    • Guzina, B.B.1    Pak, R.Y.S.2
  • 23
    • 0001617415 scopus 로고
    • On the fast matrix multiplication in the boundary element method by panel clustering
    • Hackbusch W., and Nowak Z.P. On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math. 54 (1989) 463-491
    • (1989) Numer. Math. , vol.54 , pp. 463-491
    • Hackbusch, W.1    Nowak, Z.P.2
  • 24
    • 0029395109 scopus 로고
    • Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
    • Ihlenburg F., and Babuška I. Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Int. J. Numer. Methods Engng. 38 (1995) 3745-3774
    • (1995) Int. J. Numer. Methods Engng. , vol.38 , pp. 3745-3774
    • Ihlenburg, F.1    Babuška, I.2
  • 25
  • 26
    • 0031815577 scopus 로고    scopus 로고
    • The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures
    • Komatitsch D., and Vilotte J.P. The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bull. Seism. Soc. Am. 88 (1998) 368-392
    • (1998) Bull. Seism. Soc. Am. , vol.88 , pp. 368-392
    • Komatitsch, D.1    Vilotte, J.P.2
  • 27
    • 0036493507 scopus 로고    scopus 로고
    • The adaptive cross approximation technique for the 3D boundary element method
    • Kurz S., Rain O., and Rjasanow S. The adaptive cross approximation technique for the 3D boundary element method. IEEE Trans. Magnet. 38 (2002) 421-424
    • (2002) IEEE Trans. Magnet. , vol.38 , pp. 421-424
    • Kurz, S.1    Rain, O.2    Rjasanow, S.3
  • 28
    • 0021453338 scopus 로고
    • 3D diffraction of plane P-, SV- and SH-waves by a hemispherical alluvial valley
    • Lee V.W. 3D diffraction of plane P-, SV- and SH-waves by a hemispherical alluvial valley. Soil. Dyn. Earthquake Engng. 3 (1984) 133-144
    • (1984) Soil. Dyn. Earthquake Engng. , vol.3 , pp. 133-144
    • Lee, V.W.1
  • 29
    • 0347915840 scopus 로고    scopus 로고
    • A series solution and numerical technique for wave diffraction by a three-dimensional canyon
    • Liao W.I., Teng T.J., and Yeh C.S. A series solution and numerical technique for wave diffraction by a three-dimensional canyon. Wave Motion 39 (2004) 129-142
    • (2004) Wave Motion , vol.39 , pp. 129-142
    • Liao, W.I.1    Teng, T.J.2    Yeh, C.S.3
  • 30
    • 14644415869 scopus 로고    scopus 로고
    • A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model
    • Liu Y., Nishimura N., Otani Y., Takahashi T., Chen X.L., and Munakata H. A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model. ASME J. Appl. Mech. 72 (2005) 115-128
    • (2005) ASME J. Appl. Mech. , vol.72 , pp. 115-128
    • Liu, Y.1    Nishimura, N.2    Otani, Y.3    Takahashi, T.4    Chen, X.L.5    Munakata, H.6
  • 31
    • 0000800931 scopus 로고
    • Fast algorithm for solving hybrid integral equations
    • Lu C.C., and Chew W.C. Fast algorithm for solving hybrid integral equations. Microwave Antennas Propag. IEE Proc. H 140 (1993) 455-460
    • (1993) Microwave Antennas Propag. IEE Proc. H , vol.140 , pp. 455-460
    • Lu, C.C.1    Chew, W.C.2
  • 32
    • 0028460697 scopus 로고
    • A multilevel algorithm for solving a boundary integral equation of wave scattering
    • Lu C.C., and Chew W.C. A multilevel algorithm for solving a boundary integral equation of wave scattering. Microwave Opt. Technol. Lett. 7 (1994) 466-470
    • (1994) Microwave Opt. Technol. Lett. , vol.7 , pp. 466-470
    • Lu, C.C.1    Chew, W.C.2
  • 33
    • 0027855185 scopus 로고
    • A new formula for the C-matrix in the Somigliana identity
    • Mantic V. A new formula for the C-matrix in the Somigliana identity. J. Elast. 33 (1993) 191-201
    • (1993) J. Elast. , vol.33 , pp. 191-201
    • Mantic, V.1
  • 34
    • 0036946358 scopus 로고    scopus 로고
    • 3D heterogeneous straggered-grid finite-difference modelling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities
    • Moczo P., Kristek J., Vavrycuk V., Archuleta R.J., and Halada L. 3D heterogeneous straggered-grid finite-difference modelling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities. Bull. Seism. Soc. Am. 92 (2002) 3042-3066
    • (2002) Bull. Seism. Soc. Am. , vol.92 , pp. 3042-3066
    • Moczo, P.1    Kristek, J.2    Vavrycuk, V.3    Archuleta, R.J.4    Halada, L.5
  • 36
    • 52749092331 scopus 로고    scopus 로고
    • N. Nemitz, M. Bonnet, Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering. Engng. Anal. Bound. Elem, in press.
    • N. Nemitz, M. Bonnet, Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering. Engng. Anal. Bound. Elem, in press.
  • 37
    • 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 4 (2002)
    • (2002) Appl. Mech. Rev. , vol.55 , Issue.4
    • Nishimura, N.1
  • 38
    • 27844521111 scopus 로고    scopus 로고
    • Error minimization of multipole expansion
    • Ohnuki W.C., and Chew W.C. Error minimization of multipole expansion. SIAM J. Sci. Comput. 26 (2005) 2047-2065
    • (2005) SIAM J. Sci. Comput. , vol.26 , pp. 2047-2065
    • Ohnuki, W.C.1    Chew, W.C.2
  • 39
    • 0020126542 scopus 로고
    • Electromagnetic scattering by surfaces of arbitrary shape
    • Rao S., Wilton D., and Glisson A. Electromagnetic scattering by surfaces of arbitrary shape. IEEE Trans. Antennas Propag. 30 (1982) 409-418
    • (1982) IEEE Trans. Antennas Propag. , vol.30 , pp. 409-418
    • Rao, S.1    Wilton, D.2    Glisson, A.3
  • 40
    • 0030941359 scopus 로고    scopus 로고
    • Three-dimensional scattering of seismic waves from topographical structures
    • Reinoso E., Wrobel L.C., and Power H. Three-dimensional scattering of seismic waves from topographical structures. Soil. Dyn. Earthquake Engng. 16 (1997) 41-61
    • (1997) Soil. Dyn. Earthquake Engng. , vol.16 , pp. 41-61
    • Reinoso, E.1    Wrobel, L.C.2    Power, H.3
  • 41
    • 0001851864 scopus 로고
    • An integral equation approach to boundary value problems of classical elastostatics
    • Rizzo F.J. An integral equation approach to boundary value problems of classical elastostatics. Quart. Appl. Math. 25 (1967) 83-95
    • (1967) Quart. Appl. Math. , vol.25 , pp. 83-95
    • Rizzo, F.J.1
  • 42
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin V. Rapid solution of integral equations of classical potential theory. J. Comput. Phys. 60 (1985) 187-207
    • (1985) J. Comput. Phys. , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 43
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory
    • Rokhlin V. Rapid solution of integral equations of scattering theory. J. Comput. Phys. 86 (1990) 414-439
    • (1990) J. Comput. Phys. , vol.86 , pp. 414-439
    • Rokhlin, V.1
  • 44
    • 0027851427 scopus 로고
    • Diagonal forms of translation operators for the Helmholtz equation in three dimensions
    • Rokhlin V. Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Appl. Comput. Harmon. Anal. 1 (1993) 82-93
    • (1993) Appl. Comput. Harmon. Anal. , vol.1 , pp. 82-93
    • Rokhlin, V.1
  • 45
    • 0041353905 scopus 로고    scopus 로고
    • Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions
    • Rokhlin V. Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions. Appl. Comput. Harmon. Anal. 5 (1998) 36-67
    • (1998) Appl. Comput. Harmon. Anal. , vol.5 , pp. 36-67
    • Rokhlin, V.1
  • 47
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y., and Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (1986) 856-869
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 48
    • 14244273429 scopus 로고    scopus 로고
    • Fast multipole boundary element method for large-scale steady-state sound field analysis. Part I: setup and validation
    • Sakuma T., and Yasuda Y. Fast multipole boundary element method for large-scale steady-state sound field analysis. Part I: setup and validation. Acta Acust. United Acust. 88 (2002) 513-525
    • (2002) Acta Acust. United Acust. , vol.88 , pp. 513-525
    • Sakuma, T.1    Yasuda, Y.2
  • 49
    • 0001519984 scopus 로고
    • Diffraction of elastic waves by 3D surface irregularities
    • Sánchez-Sesma F.J. Diffraction of elastic waves by 3D surface irregularities. Bull. Seism. Soc. Am. 73 (1983) 1621-1636
    • (1983) Bull. Seism. Soc. Am. , vol.73 , pp. 1621-1636
    • Sánchez-Sesma, F.J.1
  • 50
    • 0022013257 scopus 로고
    • An advanced computational method for the radiation and scattering of acoustic waves in three dimensions
    • Sebert A.F., Soenarko B., Rizzo F.J., and Shippy D.J. An advanced computational method for the radiation and scattering of acoustic waves in three dimensions. J. Acoust. Soc. Am. 77 (1985) 362-368
    • (1985) J. Acoust. Soc. Am. , vol.77 , pp. 362-368
    • Sebert, A.F.1    Soenarko, B.2    Rizzo, F.J.3    Shippy, D.J.4
  • 51
    • 0001056564 scopus 로고    scopus 로고
    • Efficiency of higher order finite elements for the analysis of seismic wave propagation
    • Semblat J.F., and Brioist J.J. Efficiency of higher order finite elements for the analysis of seismic wave propagation. J. Sound Vib. 231 (2000) 460-467
    • (2000) J. Sound Vib. , vol.231 , pp. 460-467
    • Semblat, J.F.1    Brioist, J.J.2
  • 52
    • 0031258501 scopus 로고    scopus 로고
    • Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects
    • Song J., Lu C.C., and Chew W.C. Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects. IEEE Trans. Antennas Propag. 42 (1997) 1488-1493
    • (1997) IEEE Trans. Antennas Propag. , vol.42 , pp. 1488-1493
    • Song, J.1    Lu, C.C.2    Chew, W.C.3
  • 53
    • 52749093670 scopus 로고    scopus 로고
    • G. Sylvand, La méthode multipôle rapide en éléctromagnétisme: performances, parallélisation, applications. Ph.D. thesis, ENPC, Paris, France (2002).
    • G. Sylvand, La méthode multipôle rapide en éléctromagnétisme: performances, parallélisation, applications. Ph.D. thesis, ENPC, Paris, France (2002).
  • 54
    • 0038076466 scopus 로고    scopus 로고
    • A fast BIEM for three-dimensional elastodynamics in time domain
    • Takahashi T., Nishimura N., and Kobayashi S. A fast BIEM for three-dimensional elastodynamics in time domain. Engng. Anal. Bound. Elem. 27 (2003) 491-506
    • (2003) Engng. Anal. Bound. Elem. , vol.27 , pp. 491-506
    • Takahashi, T.1    Nishimura, N.2    Kobayashi, S.3
  • 55
    • 1242332700 scopus 로고    scopus 로고
    • Sparse BEM for potential theory and Stokes flow using variable order wavelets
    • Tausch J. Sparse BEM for potential theory and Stokes flow using variable order wavelets. Comput. Mech. 32 (2003) 312-3185
    • (2003) Comput. Mech. , vol.32 , pp. 312-3185
    • Tausch, J.1
  • 56
    • 2442446356 scopus 로고    scopus 로고
    • A kernel-independent adaptive fast multipole in two and three dimensions
    • Ying L., Biros G., and Zorin D. A kernel-independent adaptive fast multipole in two and three dimensions. J. Comput. Phys. 196 (2004) 591-626
    • (2004) J. Comput. Phys. , vol.196 , pp. 591-626
    • Ying, L.1    Biros, G.2    Zorin, D.3
  • 57
    • 0038606989 scopus 로고    scopus 로고
    • The high order Born approximation applied to improve the solution of seismic response of a three-dimensional canyon by the Indirect Boundary Method
    • Yokoi T. The high order Born approximation applied to improve the solution of seismic response of a three-dimensional canyon by the Indirect Boundary Method. Phys. Earth Planet. Interior 137 (2003) 97-106
    • (2003) Phys. Earth Planet. Interior , vol.137 , pp. 97-106
    • Yokoi, T.1
  • 58
    • 52749089791 scopus 로고    scopus 로고
    • K.I. Yoshida, Applications of fast multipole method to boundary integral equation method. Ph.D. thesis, University of Kyoto (2001).
    • K.I. Yoshida, Applications of fast multipole method to boundary integral equation method. Ph.D. thesis, University of Kyoto (2001).


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