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Volumn 176, Issue 1-4, 1999, Pages 111-125

Recovery procedures in error estimation and adaptivity. Part I: Adaptivity in linear problems

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; PROBLEM SOLVING;

EID: 0032628283     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00332-6     Document Type: Article
Times cited : (67)

References (30)
  • 1
    • 84985315731 scopus 로고
    • A posteriori error estimates for the finite element method
    • [1] I. Babuška and W.C. Rheinboldt, A posteriori error estimates for the finite element method, Int. J. Numer. Methods Engrg. 12 (1978) 1597-1615.
    • (1978) Int. J. Numer. Methods Engrg. , vol.12 , pp. 1597-1615
    • Babuška, I.1    Rheinboldt, W.C.2
  • 2
    • 0042255750 scopus 로고
    • A unified approach to a-posteriori error estimation using element residual methods
    • [2] M. Ainsworth and J.T. Oden, A unified approach to a-posteriori error estimation using element residual methods, Numer. Math. 65 (1993) 23-50.
    • (1993) Numer. Math. , vol.65 , pp. 23-50
    • Ainsworth, M.1    Oden, J.T.2
  • 3
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • [3] O.C. Zienkiewicz and J.Z. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Int. J. Numer. Methods Engrg. 24 (1987) 337-357.
    • (1987) Int. J. Numer. Methods Engrg. , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 4
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1 : The recovery technique
    • [4] O.C. Zienkiewicz and J.Z. Zhu, The superconvergent patch recovery and a posteriori error estimates. Part 1 : The recovery technique, Int. J. Numer. Methods Engrg. 33 (1992) 1331-1364.
    • (1992) Int. J. Numer. Methods Engrg. , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 5
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • [5] O.C. Zienkiewicz and J.Z. Zhu, The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity, Int. J. Numer. Methods Engrg. 33 (1992) 1365-1382.
    • (1992) Int. J. Numer. Methods Engrg. , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 6
    • 0026981573 scopus 로고
    • Superconvergent patch recovery (SPR) and adaptive finite element refinement
    • [6] O.C. Zienkiewicz and J.Z. Zhu, Superconvergent patch recovery (SPR) and adaptive finite element refinement, Comput. Methods Appl. Mech. Engrg. 101 (1992) 207-224.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.101 , pp. 207-224
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 7
    • 0027642884 scopus 로고
    • Patch recovery based on superconvergent derivatives and equilibrium
    • [7] N.-E. Wiberg and F. Abdulwahab, Patch recovery based on superconvergent derivatives and equilibrium, Int. J. Numer. Methods Engrg. 36 (1993) 2703-2724.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 2703-2724
    • Wiberg, N.-E.1    Abdulwahab, F.2
  • 8
    • 0028531773 scopus 로고
    • Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
    • [8] N.-E. Wiberg, F. Abdulwahab and S. Ziukas, Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions, Int. J. Numer. Methods Engrg. 37 (1994) 3417-3440.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 3417-3440
    • Wiberg, N.-E.1    Abdulwahab, F.2    Ziukas, S.3
  • 9
    • 0028377262 scopus 로고
    • Superconvergent patch recovery with equilibrium and conjoint interpolation enhancements
    • [9] T. Blacker and T. Belytschko, Superconvergent patch recovery with equilibrium and conjoint interpolation enhancements, Int. J. Numer. Methods Engrg. 37 (1994) 517-536.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 517-536
    • Blacker, T.1    Belytschko, T.2
  • 10
    • 0029244442 scopus 로고
    • Superconvergence and the superconvergent patch recovery
    • [10] O.C. Zienkiewicz and J.Z. Zhu, Superconvergence and the superconvergent patch recovery, Finite Elem. Anal. Des. 19 (1995) 11-23.
    • (1995) Finite Elem. Anal. Des. , vol.19 , pp. 11-23
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 11
    • 0028407162 scopus 로고
    • A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangular
    • [11] I. Babuška, T. Strouboulis and C.S. Upadhyay, A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangular, Comput. Methods Appl. Mech. Engrg. 114 (1994) 307-378.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.114 , pp. 307-378
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 13
    • 0041127816 scopus 로고
    • An objective criterion for assessing the reliability of a posteriori error estimators in finite element computations
    • [13] I. Babuška, T. Strouboulis, C.S. Upadhyay, S.K. Gangaraj and K. Copps, An objective criterion for assessing the reliability of a posteriori error estimators in finite element computations, U.S.A.C.M. Bulletin, No. 7 (1994) 4-16.
    • (1994) U.S.A.C.M. Bulletin , vol.7 , pp. 4-16
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4    Copps, K.5
  • 14
    • 0031190462 scopus 로고    scopus 로고
    • A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary
    • [14] I. Babuška, T. Strouboulis and C.S. Upadhyay, A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary, Int. J. Numer. Methods Engrg. 40 (1997) 2521-2577.
    • (1997) Int. J. Numer. Methods Engrg. , vol.40 , pp. 2521-2577
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 16
    • 0042255750 scopus 로고
    • A unified approach to a-posteriori error estimation using element residual methods
    • [16] M. Ainsworth and J.T. Oden, A unified approach to a-posteriori error estimation using element residual methods, Numer. Math. 65 (1993) 23-50.
    • (1993) Numer. Math. , vol.65 , pp. 23-50
    • Ainsworth, M.1    Oden, J.T.2
  • 17
    • 77957047666 scopus 로고    scopus 로고
    • The relationship of some a posteriori error estimators
    • P. Ladevèze and J.T. Oden, eds., Elsevier
    • [17] J.Z. Zhu and Z. Zhang, The relationship of some a posteriori error estimators, in: P. Ladevèze and J.T. Oden, eds., Advances in Adaptive Computational Methods in Mechanics (Elsevier, 1998) 25-42.
    • (1998) Advances in Adaptive Computational Methods in Mechanics , pp. 25-42
    • Zhu, J.Z.1    Zhang, Z.2
  • 19
    • 0002594740 scopus 로고
    • Superconvergence of finite element solutions and their derivatives
    • [19] C.M. Chen, Superconvergence of finite element solutions and their derivatives, Numer. Math. J. Chinese Univ. 3 (1981) 118-125.
    • (1981) Numer. Math. J. Chinese Univ. , vol.3 , pp. 118-125
    • Chen, C.M.1
  • 20
    • 84966258460 scopus 로고
    • Superconvergence and reduced integration in the finite element method
    • [20] M. Zlamal, Superconvergence and reduced integration in the finite element method, Math. Comput. 32 (1980) 663-685.
    • (1980) Math. Comput. , vol.32 , pp. 663-685
    • Zlamal, M.1
  • 21
    • 0024620128 scopus 로고
    • Superconvergent derivatives: A Taylor series anlysis
    • [21] R.J. Mackinnon and G.F. Carey, Superconvergent derivatives: A Taylor series anlysis, Int. J. Numer. Methods Engrg. 28 (1989) 489-509.
    • (1989) Int. J. Numer. Methods Engrg. , vol.28 , pp. 489-509
    • Mackinnon, R.J.1    Carey, G.F.2
  • 22
    • 0002427262 scopus 로고
    • Finite element adaptivity in dynamics and elastoplasticity
    • O.C. Zienkiewicz's Anniversary Volume, E. Onate et al., eds. CIMNE and Springer-Verlag, Barcelona
    • [22] A. Samuelsson and N.E. Wiberg, Finite element adaptivity in dynamics and elastoplasticity, in: The finite elemnt method in the 1990s, O.C. Zienkiewicz's Anniversary Volume, E. Onate et al., eds. (152-162 CIMNE and Springer-Verlag, Barcelona, 1991).
    • (1991) The Finite Elemnt Method in the 1990s , pp. 152-162
    • Samuelsson, A.1    Wiberg, N.E.2
  • 23
    • 0039348682 scopus 로고
    • Exact solution of certain problem by the finite element method
    • [23] P. Tong, Exact solution of certain problem by the finite element method, J. A.I.A.A. 1 (1969) 179-180.
    • (1969) J. A.I.A.A. , vol.1 , pp. 179-180
    • Tong, P.1
  • 24
    • 0015095659 scopus 로고
    • On the calculation of consistant stress distribution in finite element applications
    • [24] J.T. Oden and H.J. Brauchli, On the calculation of consistant stress distribution in finite element applications, Int. J. Numer. Methods Engrg. 3 (1971) 317-325.
    • (1971) Int. J. Numer. Methods Engrg. , vol.3 , pp. 317-325
    • Oden, J.T.1    Brauchli, H.J.2
  • 25
    • 0028465782 scopus 로고
    • Finite element derivative recovery by moving least square interpolants
    • [25] M. Tabbara, T. Blacker and T. Belytschko, Finite element derivative recovery by moving least square interpolants, Comput. Methods Appl. Mech. Engrg. 117 (1994) 211-223.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.117 , pp. 211-223
    • Tabbara, M.1    Blacker, T.2    Belytschko, T.3
  • 27
    • 0031233850 scopus 로고    scopus 로고
    • An improved rep recovery and the effectivity robustness test
    • [27] B. Boroomand and O.C. Zienkiewicz, An improved REP recovery and the effectivity robustness test, Int. J. Numer. Methods Engrg. 40 (1997) 3247-3277.
    • (1997) Int. J. Numer. Methods Engrg. , vol.40 , pp. 3247-3277
    • Boroomand, B.1    Zienkiewicz, O.C.2
  • 28
    • 0001585002 scopus 로고
    • Error estimate procedure in the finite element method and applications
    • [28] P. Ladevèze and D. Leguillon, Error estimate procedure in the finite element method and applications, SIAM J. Numer. Anal. 20(3) (1983) 485-509.
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.3 , pp. 485-509
    • Ladevèze, P.1    Leguillon, D.2
  • 30
    • 9944229231 scopus 로고
    • Adaptive mesh refinement techniques for structural problems
    • E. Oñate, J. Perieux and A. Samuelsson, eds., Springer, CIMNE, Barcelona
    • [30] E. Oñate and J. Castro, Adaptive mesh refinement techniques for structural problems, in: E. Oñate, J. Perieux and A. Samuelsson, eds., The Finite Element Method in the 1990's (Springer, CIMNE, Barcelona, 1991).
    • (1991) The Finite Element Method in the 1990's
    • Oñate, E.1    Castro, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.