메뉴 건너뛰기




Volumn 11, Issue 2, 2012, Pages 594-609

A preconditioned 3-D multi-region fast multipole solver for seismic wave propagation in complex geometries

Author keywords

3 D elastodynamics; Fast multipole method; Preconditioning strategy; Seismic wave propagation

Indexed keywords


EID: 84055190613     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.231209.030111s     Document Type: Conference Paper
Times cited : (24)

References (36)
  • 1
    • 0043234061 scopus 로고    scopus 로고
    • Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics
    • G. Alléon, M. Benzi, L. Giraud, Sparse approximation inverse preconditioning for dense linear systems arising in computational electromagnetics, Numer. Algor., 16(1997), 1-15. (Pubitemid 127429642)
    • (1997) Numerical Algorithms , vol.16 , Issue.1 , pp. 1-15
    • Alleon, G.1    Benzi, M.2    Giraud, L.3
  • 4
    • 33750721354 scopus 로고    scopus 로고
    • The multilevel fast multipole method for forward modelling the multiply scattered seismic surface waves
    • Ö Çakir, The multilevel fast multipole method for forward modelling the multiply scattered seismic surface waves, Geophys. J. Int., 167(2006), 663-678.
    • (2006) Geophys. J. Int. , vol.167 , pp. 663-678
    • Ö Çakir1
  • 5
    • 33646358350 scopus 로고    scopus 로고
    • Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations
    • B. Carpentieri, I. S. Duff, L. Giraud and G. Sylvand, Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations, SIAM J. Sci. Comput., 27(2005), 774-792.
    • (2005) SIAM J. Sci. Comput. , vol.27 , pp. 774-792
    • Carpentieri, B.1    Duff, I.S.2    Giraud, L.3    Sylvand, G.4
  • 6
    • 52749096207 scopus 로고    scopus 로고
    • A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
    • S. Chaillat, M. Bonnet and J.-F. Semblat, A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain, Comput. Meth. Appl. Mech. Engng., 197(2008), 4233-4249.
    • (2008) Comput. Meth. Appl. Mech. Engng. , vol.197 , pp. 4233-4249
    • Chaillat, S.1    Bonnet, M.2    Semblat, J.-F.3
  • 7
    • 64849092300 scopus 로고    scopus 로고
    • A new fast multi-domain BEM to model seismic wave propagation and amplification in 3D geological structures
    • S. Chaillat, M. Bonnet and J.-F. Semblat, A new fast multi-domain BEM to model seismic wave propagation and amplification in 3D geological structures, Geophys. J. Int., 177(2009), 509-531.
    • (2009) Geophys. J. Int. , vol.177 , pp. 509-531
    • Chaillat, S.1    Bonnet, M.2    Semblat, J.-F.3
  • 9
    • 0000893843 scopus 로고    scopus 로고
    • The fast multipole method: Numerical implementation
    • E. Darve, The fast multipole method: Numerical implementation, J. Comp. Phys., 160(2000), 195-240.
    • (2000) J. Comp. Phys. , vol.160 , pp. 195-240
    • Darve, E.1
  • 12
    • 0001698339 scopus 로고
    • Multipole translation theory for the three-dimensional Laplace and Helmholtz equations
    • M. A. Epton and B. Dembart, Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, SIAM J. Sci. Comp., 16(1995), 865-897.
    • (1995) SIAM J. Sci. Comp. , vol.16 , pp. 865-897
    • Epton, M.A.1    Dembart, B.2
  • 15
    • 0034057717 scopus 로고    scopus 로고
    • The fast multipole method for solving integral equations of three-dimensional topography and basin problems
    • DOI 10.1046/j.1365-246X.2000.00016.x
    • H. Fujiwara, The fast multipole method for solving integral equations of three-dimensional topography and basin problems, Geophys. J. Int., 140(2000), 198-210. (Pubitemid 30147597)
    • (2000) Geophysical Journal International , vol.140 , Issue.1 , pp. 198-210
    • Fujiwara, H.1
  • 17
    • 52749086594 scopus 로고    scopus 로고
    • Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS
    • T. J. R. Hughes, A. Reali and G. Sangalli, Duality and Unified Analysis of Discrete Approximations in Structural Dynamics and Wave Propagation: Comparison of p-method Finite Elements with k-method NURBS, Comp. Meth. Appl. Mech. Engng., 197(2008), 4104-4124.
    • (2008) Comp. Meth. Appl. Mech. Engng. , vol.197 , pp. 4104-4124
    • Hughes, T.J.R.1    Reali, A.2    Sangalli, G.3
  • 18
    • 0029395109 scopus 로고
    • Dispersion analysis and error estimate of Galerkin finite element methods for the Helmholtz equation
    • F. Ihlenburg and I. Babuška, Dispersion analysis and error estimate of Galerkin finite element methods for the Helmholtz equation, Int. J. Numer. Meth. Engng., 38(1995), 3745-3774.
    • (1995) Int. J. Numer. Meth. Engng. , vol.38 , pp. 3745-3774
    • Ihlenburg, F.1    Babuška, I.2
  • 20
    • 0001794173 scopus 로고
    • Dynamical problems in elasticity
    • North Holland
    • V. D. Kupradze, Dynamical problems in elasticity, Progress in solids mechanics (vol. 3), North Holland, 1963.
    • (1963) Progress in Solids Mechanics , vol.3
    • Kupradze, V.D.1
  • 21
    • 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
  • 22
    • 0025573614 scopus 로고
    • Amplification of elastic waves by a three dimensional valley. Part I. Steady state response
    • T. K. Mossessian and M. Dravinski, Amplification of elastic waves by a three dimensional valley. Part 1: Steady state response. Earthquake Engng. Struct. Dyn., 19(1990), 667-680. (Pubitemid 20719313)
    • (1990) Earthquake Engineering & Structural Dynamics , vol.19 , Issue.5 , pp. 667-680
    • Mossessian Tomi, K.1    Dravinski Marijan2
  • 23
    • 0038377193 scopus 로고    scopus 로고
    • Fast multipole accelerated boundary integral equation methods
    • DOI 10.1115/1.1482087
    • N. Nishimura, Fast multipole accelerated boundary integral equation methods, Appl. Mech. Rev., 55(2002), 299-324. (Pubitemid 40205891)
    • (2002) Applied Mechanics Reviews , vol.55 , Issue.4 , pp. 299-324
    • Nishimura, N.1
  • 24
    • 40849115920 scopus 로고    scopus 로고
    • A periodic FMM for Maxwell's equations in 3D and its application to problems related to photonic crystals
    • Y. Otani and N. Nishimura, A periodic FMM for Maxwell's equations in 3D and its application to problems related to photonic crystals. J. Comp. Phys., 227(2008), 4630-4652.
    • (2008) J. Comp. Phys. , vol.227 , pp. 4630-4652
    • Otani, Y.1    Nishimura, N.2
  • 25
    • 0344200029 scopus 로고    scopus 로고
    • Seismic soil-structure interaction analysis by direct boundary element methods
    • PII S0020768398002637
    • R. Y. S. Pak and B. B. Guzina, Seismic soil-structure interaction analysis by direct boundary element methods, Int. J. Solids Struct., 36(1999), 4743-4766. (Pubitemid 29373423)
    • (1999) International Journal of Solids and Structures , vol.36 , Issue.31-32 , pp. 4743-4766
    • Pak, R.Y.S.1    Guzina, B.B.2
  • 27
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Y. Saad, A flexible inner-outer preconditioned GMRES algorithm, SIAM J. Sci. Comput., 14(1993), 461-469.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 461-469
    • Saad, Y.1
  • 28
    • 24144467633 scopus 로고    scopus 로고
    • Iterative methods for sparse linear systems
    • Y. Saad, Iterative methods for sparse linear systems, SIAM, 2003.
    • (2003) SIAM
    • Saad, Y.1
  • 29
    • 0000048673 scopus 로고
    • GMRES - A generalized minimal residual algorithm for solving nonsymmetric linear-systems
    • Y. Saad and M. H. Schultz, M. H., GMRES - a generalized minimal residual algorithm for solving nonsymmetric linear-systems, SIAM J. Sci. Statist. Comput., 7(1986), 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 30
    • 0001519984 scopus 로고
    • Diffraction of elastic waves by three-dimensional surface irregularities
    • F. J. Sánchez-Sesma, Diffraction of elastic waves by three-dimensional 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
  • 35
    • 0038076466 scopus 로고    scopus 로고
    • A fast BIEM for three-dimensional elastodynamics in time domain
    • T. Takahashi, N. Nishimura and S. Kobayashi, 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
  • 36
    • 0042925835 scopus 로고    scopus 로고
    • Estimation de l'épaisseur d'alluvions et sédiments quaternaires dans la région grenobloise par inversion des anomalies gravimétriques
    • IPSN/CNRS in French
    • M. Vallon. Estimation de l'épaisseur d'alluvions et sédiments quaternaires dans la région grenobloise par inversion des anomalies gravimétriques. Technical report, LGGE, Université Joseph Fourier, 1999. IPSN/CNRS (in French).
    • (1999) Technical Report, LGGE, Université Joseph Fourier
    • Vallon, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.