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Volumn 324, Issue 10, 1997, Pages 1169-1174

A posteriori error estimation for nonlinear variational problems;Estimation d'erreur a posteriori pour les problèmes variationnels non linéaires

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EID: 0031138989     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)87906-2     Document Type: Article
Times cited : (10)

References (19)
  • 1
    • 0042255750 scopus 로고
    • A unified approach to a posteriori error estimation using element residual methods
    • [1] Ainsworth M. et Oden J. T., 1993. A unified approach to a posteriori error estimation using element residual methods, Numer. Math. 65, pp. 23-50.
    • (1993) Numer. Math. , vol.65 , pp. 23-50
    • Ainsworth, M.1    Oden, J.T.2
  • 2
    • 0010797981 scopus 로고
    • Some aspects of the method of hypercicle applied to elliptic variational problems
    • ed. B. Hubbard, Academic Press, New York, London
    • [2] Aubin J. P. et Burchard, H. G., 1971. Some aspects of the method of hypercicle applied to elliptic variational problems, Numerical Solutions of Partial Differential Equations II, SYNSPADE 1970 (ed. B. Hubbard), Academic Press, New York, London.
    • (1971) Numerical Solutions of Partial Differential Equations II, SYNSPADE 1970
    • Aubin, J.P.1    Burchard, H.G.2
  • 3
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • [3] Babuška I. et Rheinboldt W. C., 1978. Error estimates for adaptive finite element computations, SIAM J. Numer. Anal., 18, pp. 736-754.
    • (1978) SIAM J. Numer. Anal. , vol.18 , pp. 736-754
    • Babuška, I.1    Rheinboldt, W.C.2
  • 4
    • 0027542059 scopus 로고
    • The problem of the selection of an a posteriori error indicator based on smoothening techniques
    • [4] Babuška I. et Rodriguez R., 1993. The problem of the selection of an a posteriori error indicator based on smoothening techniques, Internat. J. Numer. Methods Engng., 36, pp. 539-567.
    • (1993) Internat. J. Numer. Methods Engng. , vol.36 , pp. 539-567
    • Babuška, I.1    Rodriguez, R.2
  • 5
    • 0001151229 scopus 로고
    • Numerical methods of high-order accuracy for nonlinear boundary value problems
    • [5] Ciarlet P. G., Schultz M. H. et Varga R. S., 1967. Numerical methods of high-order accuracy for nonlinear boundary value problems, Numer. Math., 9, pp. 394-430.
    • (1967) Numer. Math. , vol.9 , pp. 394-430
    • Ciarlet, P.G.1    Schultz, M.H.2    Varga, R.S.3
  • 7
    • 0002646068 scopus 로고
    • Displacement and equilibrium models in the finite element method
    • ed. O. C. Zienkiewicz and G. S. Holister, Wiley, London
    • [7] Fraeijs de Veubeke B., 1965. Displacement and equilibrium models in the finite element method, Stress analysis (ed. O. C. Zienkiewicz and G. S. Holister), pp. 145-197, Wiley, London.
    • (1965) Stress Analysis , pp. 145-197
    • Fraeijs De Veubeke, B.1
  • 9
    • 0027004931 scopus 로고
    • Adaptive finite elements in computational mechanics
    • [9] Johnson C. et Hansbo P., 1992. Adaptive finite elements in computational mechanics, Comput. Methods Appl. Mech. Engrg., 101, pp. 143-181.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 10
    • 0021482394 scopus 로고
    • The self equilibration of residuals and complementary error estimates in the finite element method
    • [10] Kelly D. W., 1984. The self equilibration of residuals and complementary error estimates in the finite element method, Internat. J. Numer. Methods Engng., 20, pp. 1491-1506.
    • (1984) Internat. J. Numer. Methods Engng. , vol.20 , pp. 1491-1506
    • Kelly, D.W.1
  • 11
    • 0001585002 scopus 로고
    • Error estimate procedure in the finite element method and applications
    • [11] Ladevèze P. et Leguillon D., 1983. Error estimate procedure in the finite element method and applications, SIAM J. Numer. Anal., 20, pp. 485-509.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 485-509
    • Ladevèze, P.1    Leguillon, D.2
  • 14
    • 0027974409 scopus 로고
    • An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
    • [14] Oden J. T., Wu W. et Ainsworth M., 1994. An a posteriori error estimate for finite element approximations of the Navier-Stokes Equations, Comput. Methods Appl. Mech. Engrg., 111, pp. 185-202.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.111 , pp. 185-202
    • Oden, J.T.1    Wu, W.2    Ainsworth, M.3
  • 15
    • 84918708465 scopus 로고
    • Consistency, stability, a priori and a posteriori errors for Petrov-Galerkin methods applied to nonlinear problems
    • [15] Pousin J. et Rappaz J., 1994. Consistency, stability, a priori and a posteriori errors for Petrov-Galerkin methods applied to nonlinear problems. Numer. Math., 69, pp. 213-231.
    • (1994) Numer. Math. , vol.69 , pp. 213-231
    • Pousin, J.1    Rappaz, J.2
  • 16
    • 0030406640 scopus 로고    scopus 로고
    • A posteriori error estimation for elasto-plastic problems based on duality theory
    • [16] Repin S. I. et Xanthis L. S., 1996. A posteriori error estimation for elasto-plastic problems based on duality theory, Comput. Methods Appl. Mech. Engrg., 138, pp. 317-339.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.138 , pp. 317-339
    • Repin, S.I.1    Xanthis, L.S.2
  • 17
    • 85030010495 scopus 로고    scopus 로고
    • Duality error estimates for a class of variational problems
    • Centre for Techno-Maths & Sci. Comput. Lab., University of Westminster, June 1996
    • [17] Repin S. I. et Xanthis L. S., 1996. Duality error estimates for a class of variational problems. Techno-Lab. Research Rept. Centre for Techno-Maths & Sci. Comput. Lab., University of Westminster, June 1996.
    • (1996) Techno-lab. Research Rept.
    • Repin, S.I.1    Xanthis, L.S.2
  • 18
    • 84968521915 scopus 로고
    • A posteriori error estimates for nonlinear problems. Finite element discretisations of elliptic equations
    • [18] Verfürth R., 1994. A posteriori error estimates for nonlinear problems. Finite element discretisations of elliptic equations, Math. Comp., 62, pp. 445-475.
    • (1994) Math. Comp. , vol.62 , pp. 445-475
    • Verfürth, R.1
  • 19
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • [19] Zienkiewicz O. C. et Zhu J. Z., 1987. A simple error estimator and adaptive procedure for practical engineering analysis, Internat. J. Numer. Methods Engng., 24, pp. 337-357.
    • (1987) Internat. J. Numer. Methods Engng. , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.