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Volumn 47, Issue C, 1998, Pages 155-197

A-posteriori estimation of the error in the error estimate

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EID: 0038232413     PISSN: 09225382     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0922-5382(98)80010-X     Document Type: Chapter
Times cited : (8)

References (27)
  • 2
    • 0001585002 scopus 로고
    • Error estimate procedure in the finite element method and applications
    • Ladeveze P., and Leguillon D. 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
    • Ladeveze, P.1    Leguillon, D.2
  • 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
    • Babuška I., Strouboulis T., Upadhyay C.S., and Gangaraj S.K. 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. Computers and Structures 57 (1995) 1009-1028
    • (1995) Computers and Structures , 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
    • Babuška I., Strouboulis T., Upadhyay C.S., and Gangaraj S.K. 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
    • Oden J.T., and Feng Y. 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
    • Babuška I., Strouboulis T., and Upadhyay C.S. 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
    • Ciarlet P.G., and Lions J.L. (Eds), North-Holland, New York
    • Wahlbin L.B. Local behavior in finite element methods. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of Numerical Analysis (1991), North-Holland, New York 357-522
    • (1991) Handbook of Numerical Analysis , 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 finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary
    • Babuška I., Strouboulis T., and Upadhyay C.S. 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. Internat. J. Numer. Methods Engrg. 40 (1997) 2521-2577
    • (1997) Internat. J. Numer. Methods Engrg. , vol.40 , pp. 2521-2577
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 12
    • 77957079003 scopus 로고    scopus 로고
    • The Analysis and Design of Finite Element
    • in preparation
    • I. Babuška and T. Strouboulis, The Analysis and Design of Finite Element Methods, in preparation.
    • Methods
    • Babuška, I.1    Strouboulis, T.2
  • 13
    • 0028548590 scopus 로고
    • Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators
    • Babuška I., Strouboulis T., Mathur A., and Upadhyay C.S. Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators. Finite Elements in Analysis and Design 17 (1994) 237-321
    • (1994) Finite Elements in Analysis and Design , 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
    • Oden J.T., Demkowicz L., Rachowicz W., and Westermann T.A. 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
    • Zienkiewicz O.C., and Zhu J.Z. 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
    • Zienkiewicz O.C., and Zhu J.Z. 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
    • Zienkiewicz O.C., and Zhu J.Z. 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
    • Wiberg N.E., Abdulwahab F., and Ziukas S. Enhanced superconvergent patch recovery incorporation equilibrium and boundary conditions. Internat. J. Numer. Methods Engrg. 37 (1994) 3417-3440
    • (1994) Internat. 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
    • Babuška I., and Miller A. 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. 20 (1984) 1085-1109
    • (1984) Int. J. Numer. Methods Engrg. , vol.20 , 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
    • Babuška I., and Miller A. 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
    • Becker R., and Rannacher R. 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
  • 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
    • Babuška I., Strouboulis T., Gangaraj S.K., and Upadhyay C.S. 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
    • 77957036168 scopus 로고    scopus 로고
    • A-posteriori estimation and adaptive control of the error in the derivatives, strains and stresses at a point of interest
    • in preparation
    • 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, (in preparation).
    • 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
    • Babuška I., Strouboulis T., and Gangaraj S.K. 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.