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Volumn 192, Issue 51-52, 2003, Pages 5329-5353

A priori error estimates for explicit finite element for linear elasto-dynamics by Galerkin method and central difference method

Author keywords

A priori error estimate; Central difference method; Explicit finite element; Galerkin method; Optimal convergence rate; Transient dynamics

Indexed keywords

ERROR ANALYSIS; ESTIMATION; FINITE ELEMENT METHOD; GALERKIN METHODS; KINETIC ENERGY; VIBRATIONS (MECHANICAL);

EID: 0345375473     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.08.002     Document Type: Article
Times cited : (23)

References (16)
  • 1
    • 0016994245 scopus 로고
    • Error estimates for finite element methods for second order hyperbolic equations
    • Baker G.A. Error estimates for finite element methods for second order hyperbolic equations SIAM J. Numer. Anal. 13 1976 564-576
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 564-576
    • Baker, G.A.1
  • 3
    • 0016647182 scopus 로고
    • Explicit integration--stability, solution properties, cost
    • Belytschko T. Holmes N. Mullen R. Explicit integration--stability, solution properties, cost ASME AMD V 14 1975 1-21
    • (1975) ASME AMD V , vol.14 , pp. 1-21
    • Belytschko, T.1    Holmes, N.2    Mullen, R.3
  • 4
    • 0003227319 scopus 로고
    • Three-Dimensional Elasticiy
    • New York: Elsevier Science Publishing Co
    • Ciarlet P.G. Three-Dimensional Elasticiy Mathematical Elasticity vol. 1 1988 Elsevier Science Publishing Co. New York
    • (1988) Mathematical Elasticity , vol.1
    • Ciarlet, P.G.1
  • 7
    • 0040138359 scopus 로고
    • Galerkin methods for parabolic equations with nonlinear boundary conditions
    • Douglas J. Jr. Dupont T. Galerkin methods for parabolic equations with nonlinear boundary conditions Numer. Math. 20 1973 213-237
    • (1973) Numer. Math. , vol.20 , pp. 213-237
    • Douglas Jr., J.1    Dupont, T.2
  • 8
    • 0000807980 scopus 로고
    • 2-estimate for Galerkin methods for second order hyperbolic equations
    • 2-estimate for Galerkin methods for second order hyperbolic equations SIAM J. Numer. Anal. 10 1973 880-889
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 880-889
    • Dupont, T.1
  • 11
    • 0344561532 scopus 로고
    • Finite element schemes: Stability and convergence
    • J. T. Oden, Y. Yamamoto, R. W. Clough Huntsville, AL: UAH Press
    • Fujii H. Finite element schemes: Stability and convergence Oden J.T. Yamamoto Y. Clough R.W. Advances in Computational Methods in Structural Mechanics and Design 1972 201-218 UAH Press Huntsville, AL
    • (1972) Advances in Computational Methods in Structural Mechanics and Design , pp. 201-218
    • Fujii, H.1
  • 13
    • 0015556090 scopus 로고
    • Convergence accuracy and stability of finite element approximations of a class of non-linear hyperbolic equations
    • Oden J.T. Fost R.B. Convergence accuracy and stability of finite element approximations of a class of non-linear hyperbolic equations Int. J. Numer. Methods Engrg. 6 1973 357-365
    • (1973) Int. J. Numer. Methods Engrg. , vol.6 , pp. 357-365
    • Oden, J.T.1    Fost, R.B.2
  • 15
    • 0001287713 scopus 로고
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations
    • 2 error estimates for Galerkin approximations to parabolic partial differential equations SIAM J. Numer. Anal. 10 1973 723-759
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 723-759
    • Wheeler, M.F.1
  • 16
    • 0004411068 scopus 로고
    • The error estimate for the finite element method of a nonlinear hyperbolic equation
    • Yuan Y.R. Wang H. The error estimate for the finite element method of a nonlinear hyperbolic equation J. Syst. Sci. Math. Sci. 5 1985 161-171
    • (1985) J. Syst. Sci. Math. Sci. , vol.5 , pp. 161-171
    • Yuan, Y.R.1    Wang, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.