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Volumn 133, Issue 3, 1998, Pages 773-782

The fast multipole method for integral equations of seismic scattering problems

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHOD; MULTIPOLE METHOD; SEISMIC WAVE; WAVE SCATTERING;

EID: 0031716937     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1998.00538.x     Document Type: Article
Times cited : (35)

References (19)
  • 2
    • 0027088621 scopus 로고
    • Multiple scattering of SH waves in 2-D media with many cavities
    • Benites, R., Aki, K. & Yomogida, K., 1992 Multiple scattering of SH waves in 2-D media with many cavities. Pure appl. Geophys., 138, 353-390.
    • (1992) Pure Appl. Geophys. , vol.138 , pp. 353-390
    • Benites, R.1    Aki, K.2    Yomogida, K.3
  • 4
    • 0029542432 scopus 로고
    • A fast implementation of boundary integral equation methods to calculate the propagation of seismic waves in laterally varying layered media
    • Bouchon, M., Schultz, C.A. & Toksöz, M.N., 1995. A fast implementation of boundary integral equation methods to calculate the propagation of seismic waves in laterally varying layered media, Bull. seism. Soc Am., 85, 1679-1687.
    • (1995) Bull. Seism. Soc Am. , vol.85 , pp. 1679-1687
    • Bouchon, M.1    Schultz, C.A.2    Toksöz, M.N.3
  • 5
    • 0000181954 scopus 로고
    • The application of integral equation methods for the numerical solution of boundary value problems
    • Burton, A.J. & Miller, G.F., 1971. The application of integral equation methods for the numerical solution of boundary value problems, Proc. R. Soc. Lond., A, 232, 201-210.
    • (1971) Proc. R. Soc. Lond., A , vol.232 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 6
    • 0002308279 scopus 로고
    • Conjugate gradient methods for indefinite systems
    • Springer-Verlag, Berlin
    • Fletcher, R., 1976. Conjugate gradient methods for indefinite systems. Lecture Notes in Mathematics, Vol. 506. pp. 73-89. Springer-Verlag, Berlin.
    • (1976) Lecture Notes in Mathematics , vol.506 , pp. 73-89
    • Fletcher, R.1
  • 7
    • 0028322794 scopus 로고
    • Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the Direct Solution Method (DSM)
    • Geller, R.J. & Ohminato, T., 1994. Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the Direct Solution Method (DSM). Geophys. J. Int., 116, 421-446.
    • (1994) Geophys. J. Int. , vol.116 , pp. 421-446
    • Geller, R.J.1    Ohminato, T.2
  • 8
    • 0030439369 scopus 로고    scopus 로고
    • Simulating seismic wave propagation in 3D elastic media using staggered-grid finite-differences
    • Graves, R.W., 1996. Simulating seismic wave propagation in 3D elastic media using staggered-grid finite-differences. Bull seism. Soc. Am., 86, 1091-1106.
    • (1996) Bull Seism. Soc. Am. , vol.86 , pp. 1091-1106
    • Graves, R.W.1
  • 10
    • 0031842636 scopus 로고    scopus 로고
    • Excitation of secondary Love and Rayleigh waves in a three-dimensional sedimentary basin evaluated by the direct boundary element method with normal modes
    • Hatayama, K. & Fujiwara, H., 1998. Excitation of secondary Love and Rayleigh waves in a three-dimensional sedimentary basin evaluated by the direct boundary element method with normal modes, Geophys. J. Int., 133, 260-278.
    • (1998) Geophys. J. Int. , vol.133 , pp. 260-278
    • Hatayama, K.1    Fujiwara, H.2
  • 11
    • 0001116785 scopus 로고
    • Scattering of elastic waves by a fracture zone containing randomly distributed cracks
    • Kawahara, J. & Yamashita, T., 1992. Scattering of elastic waves by a fracture zone containing randomly distributed cracks, Pure. appl. Geophys., 139, 121-144.
    • (1992) Pure. Appl. Geophys. , vol.139 , pp. 121-144
    • Kawahara, J.1    Yamashita, T.2
  • 13
    • 0030436579 scopus 로고    scopus 로고
    • Three-dimensional simulation of earthquakes on the Los Angeles Fault System
    • Olsen, K.B. & Archuleta, R.J., 1996 Three-dimensional simulation of earthquakes on the Los Angeles Fault System. Bull seism. Soc. Am., 6, 575-596.
    • (1996) Bull Seism. Soc. Am. , vol.6 , pp. 575-596
    • Olsen, K.B.1    Archuleta, R.J.2
  • 14
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin, V., 1985. Rapid solution of integral equations of classical potential theory, J. Camp. Phys., 60, 187-207.
    • (1985) J. Camp. Phys. , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 15
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory in two dimensions
    • Rokhlin, V., 1990. Rapid solution of integral equations of scattering theory in two dimensions, J. Comp. Phys., 86, 414-439.
    • (1990) J. Comp. Phys. , vol.86 , pp. 414-439
    • Rokhlin, V.1
  • 16
    • 0000048673 scopus 로고
    • GMRES : A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad, Y. & Schultz, M.H., 1986. GMRES : a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7, 856-869.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 17
    • 0002716979 scopus 로고
    • CGS: A fast Lanczos-type solver for nonsymmetric linear systems
    • Sonneveld, P., 1989. CGS: a fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 10, 36-52.
    • (1989) SIAM J. Sci. Stat. Comput. , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 18
    • 0030467832 scopus 로고    scopus 로고
    • An efficient approach to the seismogram synthesis for a basin structure using propagation invariants
    • Takenaka, H., Ohori, M., Koketsu, K. & Kennett, B.L.N., 1996. An efficient approach to the seismogram synthesis for a basin structure using propagation invariants. Bull seism. Soc Am., 86, 379-388.
    • (1996) Bull Seism. Soc Am. , vol.86 , pp. 379-388
    • Takenaka, H.1    Ohori, M.2    Koketsu, K.3    Kennett, B.L.N.4
  • 19
    • 0000005482 scopus 로고
    • Bi-CGSTAB : A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • Van der Vorst, H.A., 1992. Bi-CGSTAB : a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J Sci. Stat. Comput., 13, 631-644.
    • (1992) SIAM J Sci. Stat. Comput. , vol.13 , pp. 631-644
    • Van der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.