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Volumn 30, Issue 4, 1999, Pages 425-445

Spurious modes in finite-element discretizations of the wave equation may not be all that bad

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD;

EID: 0033164986     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00078-6     Document Type: Article
Times cited : (62)

References (12)
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    • (1976) SIAM J. Numer. Anal. , vol.13 , Issue.4 , pp. 564-576
    • Baker, G.A.1
  • 2
    • 85031628262 scopus 로고    scopus 로고
    • Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
    • [2] M.J.S. Chin-Joe-Kong, W.A. Mulder and M. van Veldhuizen, Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation, submitted to J. Engrg. Math.
    • J. Engrg. Math.
    • Chin-Joe-Kong, M.J.S.1    Mulder, W.A.2    Van Veldhuizen, M.3
  • 3
    • 0002370460 scopus 로고
    • Construction and analysis of higher order finite elements with mass lumping for the wave equation
    • R. Kleinman, T. Angell, D. Colton, F. Santosa and I. Stakgold, eds., SIAM, Philadelphia, PA
    • [3] G. Cohen, P. Joly and N. Tordjman, Construction and analysis of higher order finite elements with mass lumping for the wave equation, in: R. Kleinman, T. Angell, D. Colton, F. Santosa and I. Stakgold, eds., Proc. of the 2nd International Conference on Mathematical and Numerical Aspects of Wave Propagation (SIAM, Philadelphia, PA, 1993) 152-160.
    • (1993) Proc. of the 2nd International Conference on Mathematical and Numerical Aspects of Wave Propagation , pp. 152-160
    • Cohen, G.1    Joly, P.2    Tordjman, N.3
  • 6
    • 0000807980 scopus 로고
    • 2-estimates for Galerkin methods for second order hyperbolic equations
    • 2-estimates for Galerkin methods for second order hyperbolic equations, SIAM J. Numer. Anal. 10 (5) (1973) 880-889.
    • (1973) SIAM J. Numer. Anal. , vol.10 , Issue.5 , pp. 880-889
    • Dupont, T.1
  • 7
    • 0003287471 scopus 로고
    • Polynomial approximation of differential equations
    • Springer, Berlin
    • [7] D. Funaro, Polynomial Approximation of Differential Equations, Lecture Notes in Physics, Vol. 8 (Springer, Berlin, 1992).
    • (1992) Lecture Notes in Physics , vol.8
    • Funaro, D.1
  • 8
    • 0009404816 scopus 로고
    • Analysis of higher order finite-element methods
    • K.R. Kelly and K.J. Marfurt, eds., Geophysics Reprint Series No. 13 Society of Exploration Geophysicists
    • [8] K.J. Marfurt, Analysis of higher order finite-element methods, in: K.R. Kelly and K.J. Marfurt, eds., Numerical Modeling of Seismic Wave Propagation, Geophysics Reprint Series No. 13 (Society of Exploration Geophysicists, 1990) 516-520.
    • (1990) Numerical Modeling of Seismic Wave Propagation , pp. 516-520
    • Marfurt, K.J.1
  • 9
    • 0009453104 scopus 로고    scopus 로고
    • A comparison between higher-order finite elements and finite differences for solving the wave equation
    • J.-A. Désidéri, P. Le Tallec, E. Oñate, J. Périaux and E. Stein, eds., Wiley, New York
    • [9] W.A. Mulder, A comparison between higher-order finite elements and finite differences for solving the wave equation, in: J.-A. Désidéri, P. Le Tallec, E. Oñate, J. Périaux and E. Stein, eds., Proc. of the 2nd ECCOMAS Conference on Numerical Methods in Engineering (Wiley, New York, 1996) 344-350.
    • (1996) Proc. of the 2nd ECCOMAS Conference on Numerical Methods in Engineering , pp. 344-350
    • Mulder, W.A.1
  • 10
    • 0000497154 scopus 로고
    • A numerical investigation of chebyshev spectral element method for acoustic wave propagation
    • R Vichnevetsky, ed., Criterion Press, Dublin
    • [10] E. Priolo and G. Seriani, A numerical investigation of Chebyshev spectral element method for acoustic wave propagation, in: R Vichnevetsky, ed., Proc. 13th IMACS Conf. on Comput. Appl. Math., Vol. 2 (Criterion Press, Dublin, 1991) 551-556.
    • (1991) Proc. 13th IMACS Conf. on Comput. Appl. Math. , vol.2 , pp. 551-556
    • Priolo, E.1    Seriani, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.