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Volumn 176, Issue 1-4, 1999, Pages 387-418

A posteriori estimation of the error in the error estimate

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; STRESS ANALYSIS;

EID: 0032662999     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00346-6     Document Type: Article
Times cited : (5)

References (27)
  • 1
    • 0003980440 scopus 로고
    • Thése de Doctorat d'Etat es Science, Mathematiques, L'Université P. et M. Curie, Paris
    • [1]P. Ladeveze, Comparison de modeles de milieux continus', Thése de Doctorat d'Etat es Science, Mathematiques, L'Université P. et M. Curie, Paris, 1975.
    • (1975) Comparison de Modeles de Milieux Continus'
    • Ladeveze, P.1
  • 2
    • 0001585002 scopus 로고
    • Error estimate procedure in the finite method and applications
    • [2] P. Ladeveze and D. Leguillon, Error estimate procedure in the finite method and applications, SIAM J. Numer. Anal. 20(3) (1983) 485-509.
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.3 , pp. 485-509
    • Ladeveze, P.1    Leguillon, D.2
  • 3
    • 0041126577 scopus 로고
    • Ph.D. Thesis, Laboratoire de Mecanique et Technologie, E.N.S. de Cachan-C.N.R.S-Universite Paris 6, Cachan, France
    • [3] P. Rougeot, Sur le controle de la qualite des maillages elements finis, Ph.D. Thesis, Laboratoire de Mecanique et Technologie, E.N.S. de Cachan-C.N.R.S-Universite Paris 6, Cachan, France, 1989.
    • (1989) Sur le Controle de la Qualite des Maillages Elements Finis
    • Rougeot, P.1
  • 4
    • 0001722808 scopus 로고
    • A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals
    • [4] I. Babuška, T. Strouboulis, C.S. Upadhyay and S.K. Gangaraj, A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals, Comput. Struct. 57 (1995) 1009-1028.
    • (1995) Comput. Struct. , vol.57 , pp. 1009-1028
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 5
    • 0029504921 scopus 로고
    • A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method
    • [5] I. Babuška, T. Strouboulis, C.S. Upadhyay and S.K. Gangaraj, A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method, Int. J. Numer. Methods Engrg. 38 (1995) 4207-4235.
    • (1995) Int. J. Numer. Methods Engrg. , vol.38 , pp. 4207-4235
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 7
    • 0030571233 scopus 로고    scopus 로고
    • Local and pollution error estimation for finite element approximations of elliptic boundary value problems
    • [7] J.T. Oden and Y. Feng, Local and Pollution error estimation for finite element approximations of elliptic boundary value problems, J. Comput. Appl. Math. 74 (1996) 245-293.
    • (1996) J. Comput. Appl. Math. , vol.74 , pp. 245-293
    • Oden, J.T.1    Feng, Y.2
  • 8
    • 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 triangles
    • [8] 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 triangles, 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
  • 10
    • 70350504045 scopus 로고
    • Local behavior in finite element methods
    • P.G. Ciarlet and J.L. Lions, eds. (North-Holland, Amsterdam)
    • [10] L.B. Wahlbin, Local behavior in finite element methods, in: P.G. Ciarlet and J.L. Lions, eds., Handbook of Numerical Analysis, Vol. II (North-Holland, Amsterdam, 1991) 357-522.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 357-522
    • Wahlbin, L.B.1
  • 11
    • 0031190462 scopus 로고    scopus 로고
    • A model study of the quality of a-posteriori error estimators for linear elliptic problems, with particular reference to the behavior near the boundary
    • [11] I. Babuška, T. Strouboulis and C.S. Upadhyay, A model study of the quality of a-posteriori error estimators for 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
  • 13
    • 0028548590 scopus 로고
    • Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators
    • [13] I. Babuška, T. Strouboulis, A. Mathur and C.S. Upadhyay, Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators, Finite Elem. Anal. Des. 17 (1994) 237-321.
    • (1994) Finite Elem. Anal. Des. , vol.17 , pp. 237-321
    • Babuška, I.1    Strouboulis, T.2    Mathur, A.3    Upadhyay, C.S.4
  • 14
    • 0024945154 scopus 로고
    • Toward a universal h-p adaptive finite element strategy, Part 2. A posteriori error estimation
    • [14] J.T. Oden, L. Demkowicz, W. Rachowicz and T.A. Westermann, Toward a universal h-p adaptive finite element strategy, Part 2. A posteriori error estimation, Comput. Methods Appl. Mech. Engrg. 77 (1989) 113-180.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.77 , pp. 113-180
    • Oden, J.T.1    Demkowicz, L.2    Rachowicz, W.3    Westermann, T.A.4
  • 15
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimators. Part 1. The recovery technique
    • [15] O.C. Zienkiewicz and J.Z. Zhu, The superconvergent patch recovery and a posteriori error estimators. 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
  • 16
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimators. Part 2. Error estimates and adaptivity
    • [16] O.C. Zienkiewicz and J.Z. Zhu, The superconvergent patch recovery and a posteriori error estimators. 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
  • 17
    • 0026981573 scopus 로고
    • The superconvergent patch recovery (SPR) and adaptive finite element refinement
    • [17] O.C. Zienkiewicz and J.Z. Zhu, The 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
  • 18
    • 0028531773 scopus 로고
    • Enhanced superconvergent patch recovery incorporation equilibrium and boundary conditions
    • [18] N.E. Wiberg, F. Abdulwahab and S. Ziukas, Enhanced superconvergent patch recovery incorporation 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
  • 19
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element method - Part 1: Calculation of displacements, stress and other higher derivatives of displacement
    • [19] I. Babuška and A. Miller, The post-processing approach in the finite element method - Part 1: Calculation of displacements, stress and other higher derivatives of displacement, Int. J. Numer. Methods Engrg. 29 (1984) 1085-1109.
    • (1984) Int. J. Numer. Methods Engrg. , vol.29 , pp. 1085-1109
    • Babuška, I.1    Miller, A.2
  • 20
    • 0021695793 scopus 로고
    • The post-processing approach in the finite element method - Part 3: A-posteriori error estimates and adaptive mesh selection
    • [20] I. Babuška and A. Miller, The post-processing approach in the finite element method - Part 3: A-posteriori error estimates and adaptive mesh selection, Int. J. Numer. Methods Engrg. 20 (1984) 2311-2324.
    • (1984) Int. J. Numer. Methods Engrg. , vol.20 , pp. 2311-2324
    • Babuška, I.1    Miller, A.2
  • 22
    • 0030383153 scopus 로고    scopus 로고
    • A feedback approach to error control in finite element methods: Basic analysis and examples
    • [22] R. Becker and R. Rannacher, A feedback approach to error control in finite element methods: Basic analysis and examples, East-West J. Numer. Math. 4 (1996) 237-264.
    • (1996) East-West J. Numer. Math. , vol.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 23
    • 0032017743 scopus 로고    scopus 로고
    • Practical aspects of a-posteriori estimation for reliable finite element analysis
    • [23] I. Babuška, T. Strouboulis, S.K. Gangaraj, K. Copps and D.K. Datta, Practical aspects of a-posteriori estimation for reliable finite element analysis, Comput. Struct. 66(5) (1998) 627-664.
    • (1998) Comput. Struct. , vol.66 , Issue.5 , pp. 627-664
    • Babuška, I.1    Strouboulis, T.2    Gangaraj, S.K.3    Copps, K.4    Datta, D.K.5
  • 24
    • 0030871492 scopus 로고    scopus 로고
    • Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives
    • [24] I. Babuška, T. Strouboulis, S.K. Gangaraj and C.S. Upadhyay, Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives, Comput. Methods Appl. Mech. Engrg.140 (1997) 1-37.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.140 , pp. 1-37
    • Babuška, I.1    Strouboulis, T.2    Gangaraj, S.K.3    Upadhyay, C.S.4
  • 25
    • 4243373822 scopus 로고    scopus 로고
    • A-posteriori estimation and adaptive control of the error in the derivatives, strains and stresses at a point of interest
    • to appear
    • [25] I. Babuška, T. Strouboulis, D.K. Datta, K. Copps and S.K. Gangaraj, A-posteriori estimation and adaptive control of the error in the derivatives, strains and stresses at a point of interest, Comput. Methods Appl. Mech. Engrg., to appear.
    • Comput. Methods Appl. Mech. Engrg.
    • Babuška, I.1    Strouboulis, T.2    Datta, D.K.3    Copps, K.4    Gangaraj, S.K.5
  • 26
    • 0031357945 scopus 로고    scopus 로고
    • A-posteriori estimation of the error in the recovered derivatives of the finite element solution
    • [26] I. Babuška, T. Strouboulis and S.K. Gangaraj, A-posteriori estimation of the error in the recovered derivatives of the finite element solution, Comput. Methods Appl. Mech. Engrg. 150 (1997) 369-396.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.150 , pp. 369-396
    • Babuška, I.1    Strouboulis, T.2    Gangaraj, S.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.