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Volumn 66, Issue 5, 1998, Pages 627-664

Practical aspects of a-posteriori estimation for reliable finite element analysis

Author keywords

A posteriori error estimation; Error indicators; Finite element analysis; Local error; Pollution error

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ERROR ANALYSIS; ESTIMATION; FINITE ELEMENT METHOD; STRAIN; STRESSES;

EID: 0032017743     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0045-7949(97)00106-5     Document Type: Article
Times cited : (17)

References (25)
  • 1
    • 0003980440 scopus 로고
    • Thése de Doctorat d'Etat es Science, Mathematiques, l'Université P. et M. Curie, Paris
    • Ladeveze, P., Comparaison de modeles de milieux continus, Thése de Doctorat d'Etat es Science, Mathematiques, l'Université P. et M. Curie, Paris, 1975.
    • (1975) Comparaison de Modeles de Milieux Continus
    • Ladeveze, P.1
  • 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 Journal of Numerical Analysis, 1983, 20(3), 485-509.
    • (1983) SIAM Journal of Numerical Analysis , 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
    • Rougeot, P., 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
    • Babusška, 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, 1995, 57, 1009-1028.
    • (1995) Computers and Structures , vol.57 , pp. 1009-1028
    • Babusška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 5
    • 38248999181 scopus 로고
    • A-posteriori error estimators for second order elliptic systems, Part 2. An optimal order process for calculating self-equilibrating fluxes
    • Ainsworth, M. and Oden, J. T. A-posteriori error estimators for second order elliptic systems, Part 2. An optimal order process for calculating self-equilibrating fluxes. Computational Mathematics Applications, 1993, 26, 75-87.
    • (1993) Computational Mathematics Applications , vol.26 , pp. 75-87
    • Ainsworth, M.1    Oden, J.T.2
  • 6
    • 0012517486 scopus 로고    scopus 로고
    • A-posteriori error estimation in finite element analysis
    • Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin
    • Ainsworth, M. and Oden, J. T., A-posteriori error estimation in finite element analysis, TICAM Report No. 9619, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin.
    • TICAM Report No. 9619 , vol.9619
    • Ainsworth, M.1    Oden, J.T.2
  • 7
    • 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, 1994, 17, 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
  • 8
    • 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 Journal of Numerical Mathematics, 1996, 4, 237-264.
    • (1996) East-West Journal of Numerical Mathematics , vol.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 10
    • 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. Journal of Computers and Applied Mathematics, 1996, 74, 245-293.
    • (1996) Journal of Computers and Applied Mathematics , vol.74 , pp. 245-293
    • Oden, J.T.1    Feng, Y.2
  • 11
    • 70350504045 scopus 로고
    • Local behavior in finite element methods
    • ed. P. G. Ciarlet and J. L. Lions. North-Holland, Amsterdam
    • Wahlbin, L. B., Local behavior in finite element methods. In Handbook of Numerical Analysis, Vol. II, ed. P. G. Ciarlet and J. L. Lions. North-Holland, Amsterdam, 1991, pp. 357-522.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 357-522
    • Wahlbin, L.B.1
  • 12
    • 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. International Journal of Numerical Methods in Engineering, 1992, 33, 1331-1364.
    • (1992) International Journal of Numerical Methods in Engineering , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 13
    • 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. International Journal of Numerical Methods in Engineering, 1992, 33, 1365-1382.
    • (1992) International Journal of Numerical Methods in Engineering , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 18
    • 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. International Journal of Numerical Methods in Engineering, 1984, 20, 1085-1109.
    • (1984) International Journal of Numerical Methods in Engineering , vol.20 , pp. 1085-1109
    • Babuška, I.1    Miller, A.2
  • 19
    • 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. International Journal of Numerical Methods in Engineering, 1984, 20, 2311-2324.
    • (1984) International Journal of Numerical Methods in Engineering , vol.20 , pp. 2311-2324
    • Babuška, I.1    Miller, A.2
  • 20
    • 0026908336 scopus 로고
    • Quality assessment of the a posteriori error estimation in finite elements
    • Babuška, I., Plank, L. and Rodriguez, R. Quality assessment of the a posteriori error estimation in finite elements. Finite Elements in Analysis and Design, 1992, 11, 285-306.
    • (1992) Finite Elements in Analysis and Design , vol.11 , pp. 285-306
    • Babuška, I.1    Plank, L.2    Rodriguez, R.3
  • 24
    • 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. Computer Methods in Applied Mechanics and Engineering, 1994, 114, 307-378.
    • (1994) Computer Methods in Applied Mechanics and Engineering , vol.114 , pp. 307-378
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.