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Volumn 47, Issue 1-3, 2000, Pages 427-475

Guaranteed computable bounds for the exact error in the finite element solution - Part II: Bounds for the energy norm of the error in two dimensions

Author keywords

A posteriori error estimation; Finite element method; Guaranteed error bounds; Upper and lower error bounds

Indexed keywords

BOUNDARY CONDITIONS; ERROR ANALYSIS; ITERATIVE METHODS;

EID: 0033875841     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0207(20000110/30)47:1/3<427::aid-nme779>3.0.co;2-1     Document Type: Article
Times cited : (20)

References (16)
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    • Babuška, I.1    Strouboulis, T.2    Gangaraj, S.K.3
  • 3
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    • 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 CS, Gangaraj SK. 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
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 4
    • 0003980440 scopus 로고
    • Thése de Doctoral d'Etat es Science, Mathematiques, L'Université P. et M. Curie, Paris
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    • (1975) Comparaison de Modeles de Milieux Continus
    • Ladeveze, P.1
  • 5
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    • Error estimate procedure in the finite element method and applications
    • Ladeveze P, Leguillon D. Error estimate procedure in the finite element method and applications. SIAM Journal on Numerical Analysis 1983; 20(3):485-509.
    • (1983) SIAM Journal on Numerical Analysis , vol.20 , Issue.3 , pp. 485-509
    • Ladeveze, P.1    Leguillon, D.2
  • 8
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    • A-posteriori error estimators for second order elliptic systems, Part 2. An optimal order process for calculating self-equilibrating fluxes
    • Ainsworth M, Oden JT. A-posteriori error estimators for second order elliptic systems, Part 2. An optimal order process for calculating self-equilibrating fluxes. Computational Mathematics and Applications 1993; 26:75-87.
    • (1993) Computational Mathematics and Applications , vol.26 , pp. 75-87
    • Ainsworth, M.1    Oden, J.T.2
  • 9
    • 0017453431 scopus 로고
    • An equilibrium method for stress calculation using finite element displacement models
    • Stein E, Ahamad R. An equilibrium method for stress calculation using finite element displacement models. Computer Methods in Applied Mechanics and Engineering 1977; 10:175-198.
    • (1977) Computer Methods in Applied Mechanics and Engineering , vol.10 , pp. 175-198
    • Stein, E.1    Ahamad, R.2
  • 10
    • 84966215690 scopus 로고
    • Some a-posteriori error estimators for elliptic partial differential equations
    • Bank RE, Weiser A. Some a-posteriori error estimators for elliptic partial differential equations. Mathematics of Computation 1985; 44:283-301.
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  • 13
    • 0031443748 scopus 로고    scopus 로고
    • A-posteriori finite element bounds for linear functional outputs of elliptic partial differential equations
    • Paraschivoiu M, Peraire J, Patera AT. A-posteriori finite element bounds for linear functional outputs of elliptic partial differential equations. Computer Methods in Applied Mechanics and Engineering 1997; 150:289-312.
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    • Paraschivoiu, M.1    Peraire, J.2    Patera, A.T.3
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.