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Volumn 35, Issue 4, 1999, Pages 405-426

Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation

Author keywords

Acoustics; Finite elements; Mass lumping; Numerical quadrature; Seismics; Wave equation

Indexed keywords

FINITE DIFFERENCE METHOD; INTEGRATION; NONLINEAR EQUATIONS; PROBLEM SOLVING; WAVE EQUATIONS;

EID: 0032859104     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004420829610     Document Type: Article
Times cited : (88)

References (13)
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  • 2
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    • G. Cohen, P. Jody 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. Philadelphia: SIAM (1993) pp. 152-160.
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    • 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), (Paris, Sept. 9-13, 1996), John Wiley and Sons
    • 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), Proceedings of the Second ECCOMAS Conference on Numerical Methods in Engineering (Paris, Sept. 9-13, 1996), John Wiley and Sons (1996) pp. 344-350.
    • (1996) Proceedings of the Second ECCOMAS Conference on Numerical Methods in Engineering , pp. 344-350
    • Mulder, W.A.1
  • 6
    • 0033164986 scopus 로고    scopus 로고
    • Spurious modes in finite-element discretisations of the wave equation may not be all that bad
    • Submitted
    • W. A. Mulder, Spurious modes in finite-element discretisations of the wave equation may not be all that bad. Submitted to Appl. Num. Math.
    • Appl. Num. Math.
    • Mulder, W.A.1
  • 7
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    • Fully symmetric integration formulas for the surface of the sphere in s dimensions
    • P. Keast and J. C. Diaz, Fully symmetric integration formulas for the surface of the sphere in s dimensions. SIAM J. Num. Anal. 20 (1983) 406-419.
    • (1983) SIAM J. Num. Anal. , vol.20 , pp. 406-419
    • Keast, P.1    Diaz, J.C.2
  • 8
    • 0022717292 scopus 로고
    • Moderate-degree tetrahedral quadrature formulas
    • P. Keast, Moderate-degree tetrahedral quadrature formulas. Comp. Meth. Appl. Mech. Eng. 55 (1986) 339-348.
    • (1986) Comp. Meth. Appl. Mech. Eng. , vol.55 , pp. 339-348
    • Keast, P.1
  • 9
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    • Cubature formulas for the surface of the sphere
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  • 11
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    • Consistent structures of invariant quadrature rules for the n-Simplex
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.