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Volumn 3743 LNCS, Issue , 2006, Pages 76-83

Discretization of integro-differential equations modeling dynamic fractional order viscoelasticity

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; GALERKIN METHODS; THEOREM PROVING; VISCOELASTICITY;

EID: 33745294594     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11666806_7     Document Type: Conference Paper
Times cited : (11)

References (8)
  • 1
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    • Adaptive discretization of an integrodifferential equation with a weakly singular convolution kernel
    • K. Adolfsson, M. Enelund, and S. Larsson, Adaptive discretization of an integrodifferential equation with a weakly singular convolution kernel, Comput. Methods Appl. Mech. Engrg. 192 (2003), 5285-5304.
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 5285-5304
    • Adolfsson, K.1    Enelund, M.2    Larsson, S.3
  • 2
    • 10044232863 scopus 로고    scopus 로고
    • Adaptive discretization of fractional order viscoelasticity using sparse time history
    • K. Adolfsson, M. Enelund, and S. Larsson, Adaptive discretization of fractional order viscoelasticity using sparse time history, Comput. Methods Appl. Mech. Engrg. 193 (2004), 4567-4590.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 4567-4590
    • Adolfsson, K.1    Enelund, M.2    Larsson, S.3
  • 3
    • 0020751558 scopus 로고
    • Fractional calculus-a different approach to the analysis of viscoelastically damped structures
    • R. L. Bagley and P. J. Torvik, Fractional calculus-a different approach to the analysis of viscoelastically damped structures, AIAA Journal 21 (1983), 741-748.
    • (1983) AIAA Journal , vol.21 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 4
    • 0000201319 scopus 로고
    • Semigroup theory and numerical approximation for equations in linear viscoelasticity
    • R. H. Fabiano and K. Ito, Semigroup theory and numerical approximation for equations in linear viscoelasticity, SIAM J. Math, Anal. 21 (1990), 374-393.
    • (1990) SIAM J. Math, Anal. , vol.21 , pp. 374-393
    • Fabiano, R.H.1    Ito, K.2
  • 5
    • 34250092484 scopus 로고
    • Convolution quadrature and discretized operational calculus, i
    • C. Lubich, Convolution quadrature and discretized operational calculus, I., Numerische Mathematik 52 (1988), 129-145.
    • (1988) Numerische Mathematik , vol.52 , pp. 129-145
    • Lubich, C.1
  • 6
    • 0030123212 scopus 로고    scopus 로고
    • Discretization with variable time steps of an evolution equation with a positive-type memory term
    • W. McLean, V. Thomée, and L. B. Wahlbin, Discretization with variable time steps of an evolution equation with a positive-type memory term, Journal of Computational and Applied Mathematics 69 (1996), 49-69.
    • (1996) Journal of Computational and Applied Mathematics , vol.69 , pp. 49-69
    • McLean, W.1    Thomée, V.2    Wahlbin, L.B.3
  • 7
    • 0037827941 scopus 로고
    • Numerical methods for hyperbolic and parabolic integro-differential equations
    • A. K. Pani, V. Thomée, and L. B. Wahlbin, Numerical methods for hyperbolic and parabolic integro-differential equations, J. Integral Equations Appl. 4 (1992), 533-584.
    • (1992) J. Integral Equations Appl. , vol.4 , pp. 533-584
    • Pani, A.K.1    Thomée, V.2    Wahlbin, L.B.3
  • 8
    • 10144259398 scopus 로고    scopus 로고
    • A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
    • S. Shaw and J. R. Whiteman, A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems, Comput. Methods Appl. Mech. Engrg. 193 (2004), 5551-5572.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 5551-5572
    • Shaw, S.1    Whiteman, J.R.2


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