메뉴 건너뛰기




Volumn 27, Issue 2, 2008, Pages 123-150

Space-time finite element approximation and numerical solution of hereditary linear viscoelasticity problems

Author keywords

Hereditary viscoelasticity; Kern approximation by interpolation; Space time finite element approximation, Stability and a priori estimate

Indexed keywords

FINITE ELEMENT METHOD; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIAL APPROXIMATION; VISCOELASTICITY;

EID: 52949094209     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (25)
  • 4
    • 33645429293 scopus 로고    scopus 로고
    • Homogenization in Integral Viscoelasticity
    • J. Orlik and S.E. Mikhailov, Homogenization in Integral Viscoelasticity. ZAMM, 81 (Suppl. 4) (2001), 983-984.
    • (2001) ZAMM , vol.81 , Issue.SUPPL. 4 , pp. 983-984
    • Orlik, J.1    Mikhailov, S.E.2
  • 5
    • 52949100687 scopus 로고    scopus 로고
    • Homogenization for Viscoelasticity
    • Angelo Marcello Anile, ed, Berlin, Heidelberg, New York, Springer, pp
    • J. Orlik, Homogenization for Viscoelasticity. Progress in industrial mathematics at ECMI 2000, Angelo Marcello Anile... ed., Berlin, Heidelberg, New York,...: Springer, pp. 618-624, 2002.
    • (2002) Progress in industrial mathematics at ECMI 2000 , pp. 618-624
    • Orlik, J.1
  • 7
    • 0001178161 scopus 로고
    • The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Method
    • September
    • J.G. Blom and H. Brunner, The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Method. SIAM J. Sci. Stat. Comput., 8(5), September 1987.
    • (1987) SIAM J. Sci. Stat. Comput , vol.8 , Issue.5
    • Blom, J.G.1    Brunner, H.2
  • 8
    • 0026168001 scopus 로고
    • Algorithm 689: Discretized Collocation And Iterated Collocation For Nonlinear Volterra Integral Equations of the Second Kind
    • June
    • J.G. Blom and H. Brunner, Algorithm 689: Discretized Collocation And Iterated Collocation For Nonlinear Volterra Integral Equations of the Second Kind. ACM Transactions on Mathematical Software, 17(2), June 1991.
    • (1991) ACM Transactions on Mathematical Software , vol.17 , Issue.2
    • Blom, J.G.1    Brunner, H.2
  • 15
    • 0034454490 scopus 로고    scopus 로고
    • Simon Shaw and J.R. Whiteman, Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems. SIAM J. Numer. Anal., 38(1) (2000), 80-97, BICOM: http://www.brunel.ac.uk/ icsrbicm.
    • Simon Shaw and J.R. Whiteman, Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems. SIAM J. Numer. Anal., 38(1) (2000), 80-97, BICOM: http://www.brunel.ac.uk/ icsrbicm.
  • 16
    • 0026106415 scopus 로고
    • Adaptive finite element methods for parabolic problems. I: A linear model problem
    • K. Eriksson and C. Johnson, Adaptive finite element methods for parabolic problems. I: a linear model problem. SIAM J. Numer. Anal., 28 (1991), 43-77.
    • (1991) SIAM J. Numer. Anal , vol.28 , pp. 43-77
    • Eriksson, K.1    Johnson, C.2
  • 18
    • 84966200902 scopus 로고
    • Finite element interpolation of nonsmooth functions satisfying boundary conditions
    • L.R. Scott and S. Zhang, Finite element interpolation of nonsmooth functions satisfying boundary conditions. Math. Comp., 54 (1990), 483-493.
    • (1990) Math. Comp , vol.54 , pp. 483-493
    • Scott, L.R.1    Zhang, S.2
  • 19
    • 84966247716 scopus 로고
    • Polynomial approximation of functions in Sobolev spaces
    • T. Dupont and R. Scott, Polynomial approximation of functions in Sobolev spaces. Math. Comp., 34 (1980), 441-463.
    • (1980) Math. Comp , vol.34 , pp. 441-463
    • Dupont, T.1    Scott, R.2
  • 23
    • 52949092015 scopus 로고    scopus 로고
    • I.S. Grandshteyn and I.M. Ryzhik, Table of integrals, series and products. Transl. from Russian, Acad. Pr. New York, 1979.
    • I.S. Grandshteyn and I.M. Ryzhik, Table of integrals, series and products. Transl. from Russian, Acad. Pr. New York, 1979.
  • 25
    • 0030355188 scopus 로고    scopus 로고
    • Product Integration for Volterra Integral Equations of the Second Kind With Weakly Singular Kernels
    • July
    • Annamaria Palamara Orsi, Product Integration for Volterra Integral Equations of the Second Kind With Weakly Singular Kernels. Math. Comp., 65, 1201-1212, July 1996.
    • (1996) Math. Comp , vol.65 , pp. 1201-1212
    • Palamara Orsi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.