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Volumn 144, Issue 1-2, 1997, Pages 33-50

Numerical approximation of elastic waves equations by implicit spectral methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; INTEGRATION; WAVE TRANSMISSION;

EID: 0031141176     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01167-X     Document Type: Article
Times cited : (17)

References (17)
  • 1
    • 0026372372 scopus 로고
    • Domain decomposition for waves propagation problems
    • J. Carcione, Domain decomposition for waves propagation problems, J. Sci. Comput. 6 (1991) 453-472.
    • (1991) J. Sci. Comput. , vol.6 , pp. 453-472
    • Carcione, J.1
  • 2
    • 0030186069 scopus 로고    scopus 로고
    • Spectral domain decomposition methods for the solution of elastic waves equations
    • to appear
    • E. Faccioli, A. Quarteroni and A. Tagliani, Spectral domain decomposition methods for the solution of elastic waves equations, Geophysics (1996) to appear.
    • (1996) Geophysics
    • Faccioli, E.1    Quarteroni, A.2    Tagliani, A.3
  • 3
    • 0000497154 scopus 로고
    • A numerical investigation of Chebychev spectral element method for acoustic waves propagation
    • Trinity College, Dublin, Ireland
    • E. Priolo and G. Seriani, A numerical investigation of Chebychev spectral element method for acoustic waves propagation, in: Proc. 13th IMACS World Congress on Computational and Applied Mathematics, Trinity College, Dublin, Ireland, 1991.
    • (1991) Proc. 13th IMACS World Congress on Computational and Applied Mathematics
    • Priolo, E.1    Seriani, G.2
  • 5
    • 0027578217 scopus 로고
    • Numerical solution of linear elastic problems by spectral collocation methods
    • A. Cividini, A. Quarteroni and E. Zampieri, Numerical solution of linear elastic problems by spectral collocation methods, Comput. Methods Appl. Mech. Engrg. 104 (1993) 49-76.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.104 , pp. 49-76
    • Cividini, A.1    Quarteroni, A.2    Zampieri, E.3
  • 6
    • 0028758045 scopus 로고
    • On the condition number of some spectral collocation operators and their finite element preconditioning
    • E. Zampieri, On the condition number of some spectral collocation operators and their finite element preconditioning, J. Sci. Comput. 9 (1994) 419-443.
    • (1994) J. Sci. Comput. , vol.9 , pp. 419-443
    • Zampieri, E.1
  • 7
    • 0000681266 scopus 로고
    • Absorbing boundary conditions for acoustic and elastic wave equations
    • R. Clayton and B. Engquist, Absorbing boundary conditions for acoustic and elastic wave equations, Bull. Seism. Soc. Am. 67(6) (1977) 1529-1540.
    • (1977) Bull. Seism. Soc. Am. , vol.67 , Issue.6 , pp. 1529-1540
    • Clayton, R.1    Engquist, B.2
  • 12
    • 0010375775 scopus 로고
    • Domain decomposition preconditioners for the spectral collocation methods
    • A. Quarteroni and G. Sacchi Landriani, Domain decomposition preconditioners for the spectral collocation methods, J. Sci. Comput. 3 (1988) 45-76.
    • (1988) J. Sci. Comput. , vol.3 , pp. 45-76
    • Quarteroni, A.1    Sacchi Landriani, G.2
  • 13
    • 0026908927 scopus 로고
    • Finite element preconditioning for Legendre spectral collocation approximations to elliptic equations and systems
    • A. Quarteroni and E. Zampieri, Finite element preconditioning for Legendre spectral collocation approximations to elliptic equations and systems, SIAM J. Numer. Anal. 29 (1992) 917-936.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 917-936
    • Quarteroni, A.1    Zampieri, E.2
  • 14
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for numerical simulation of waves
    • B. Engquist and A. Majda, Absorbing boundary conditions for numerical simulation of waves, Math. Comput. 31(139) (1977) 629-651.
    • (1977) Math. Comput. , vol.31 , Issue.139 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 15
    • 84980151986 scopus 로고
    • Absorbing boundary conditions for elastic wave calculations
    • B. Engquist and A. Majda, Absorbing boundary conditions for elastic wave calculations, Comm. Pure Appl. Math. 32 (1979) 313-357.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 313-357
    • Engquist, B.1    Majda, A.2
  • 16
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
    • H.A. Van der Vorst, Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Statist. Comput. 13 (1992) 631-644.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.