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Volumn 176, Issue 1-4, 1999, Pages 51-79

Guaranteed computable bounds for the exact error in the finite element solution. Part I: One-dimensional model problem

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0032624206     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00330-8     Document Type: Article
Times cited : (25)

References (14)
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    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 5
    • 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
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    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.114 , pp. 307-378
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 6
    • 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
    • [6] 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
  • 7
    • 0001585002 scopus 로고
    • Error estimate procedure in the finite element method and applications
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    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.3 , pp. 485-509
    • Ladeveze, P.1    Leguillon, D.2
  • 9
    • 0024945154 scopus 로고
    • Toward a universal h-p adaptive finite element strategy, part 2. A posteriori error estimation
    • [9] 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
  • 10
    • 0031443748 scopus 로고    scopus 로고
    • A-posteriori finite element bounds for linear functional outputs of elliptic partial differential equations
    • [10] M. Paraschivoiu, J. Peraire and A.T. Patera, A-posteriori finite element bounds for linear functional outputs of elliptic partial differential equations, Comput. Methods Appl. Mech. Engrg. 150 (1997) 289-312.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.150 , pp. 289-312
    • Paraschivoiu, M.1    Peraire, J.2    Patera, A.T.3
  • 11
    • 0032496557 scopus 로고    scopus 로고
    • A hierarchical duality approach to bounds for the bounds of partial differential equations
    • [11] M. Paraschivoiu and A.T. Patera, A hierarchical duality approach to bounds for the bounds of partial differential equations, Comput. Methods Appl. Mech. Engrg. 158 (1998) 389-407.
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.158 , pp. 389-407
    • Paraschivoiu, M.1    Patera, A.T.2
  • 12
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element method - Part 1: Calculation of displacements, stress and other higher derivatives of displacement
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  • 13
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    • Babuška, I.1    Miller, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.