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Volumn 150, Issue 1-4, 1997, Pages 369-396

A posteriori estimation of the error in the recovered derivatives of the finite element solution

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; PROBLEM SOLVING;

EID: 0031357945     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00079-0     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 0015095659 scopus 로고
    • On the calculation of consistent stresses distributions in finite element approximations
    • J.T. Oden and H. Brauchli, On the calculation of consistent stresses distributions in finite element approximations, Int J. Numer. Methods Engrg. 3 (1971) 317-325.
    • (1971) Int J. Numer. Methods Engrg. , vol.3 , pp. 317-325
    • Oden, J.T.1    Brauchli, H.2
  • 3
    • 0015985456 scopus 로고
    • Local and global smoothing of discontinuous finite element functions using a least-squares method
    • E. Hinton and J.S. Campbell, Local and global smoothing of discontinuous finite element functions using a least-squares method, Int. J. Numer. Methods Engrg. 8 (1974) 461-480.
    • (1974) Int. J. Numer. Methods Engrg. , vol.8 , pp. 461-480
    • Hinton, E.1    Campbell, J.S.2
  • 4
    • 84985331649 scopus 로고
    • Local least squares smoothing for parabolic isoparametric elements
    • E. Hinton, F.C. Scott and R.E. Ricketts, Local least squares smoothing for parabolic isoparametric elements, Int. J. Numer. Methods Engrg. 9 (1975) 235-238.
    • (1975) Int. J. Numer. Methods Engrg. , vol.9 , pp. 235-238
    • Hinton, E.1    Scott, F.C.2    Ricketts, R.E.3
  • 5
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimators. Part 1. The recovery technique
    • 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
  • 6
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimators. Part 2. Error estimates and adaptivity
    • 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
  • 7
    • 0026981573 scopus 로고
    • The superconvergent patch recovery (SPR) and adaptive finite element refinement
    • 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
  • 8
    • 0001968761 scopus 로고
    • Validation of recipes for the recovery of stresses and derivatives by a computer-based approach
    • I. Babuška, T. Strouboulis, S.K. Gangaraj and C.S. Upadhyay, Validation of recipes for the recovery of stresses and derivatives by a computer-based approach, Math. Comput. Modelling 20(6) (1994) 45-89.
    • (1994) Math. Comput. Modelling , vol.20 , Issue.6 , pp. 45-89
    • Babuška, I.1    Strouboulis, T.2    Gangaraj, S.K.3    Upadhyay, C.S.4
  • 9
    • 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
    • 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
  • 11
    • 4243296383 scopus 로고    scopus 로고
    • A model study of the quality of a-posteriori, error estimators for linear elliptic problems. Part II: Error estimation at the boundary of patchwise uniform grids of triangles
    • Texas Institute for Computational and Applied Mathematics Report 96-20, The University of Texas at Austin in press
    • I. Babuška, T. Strouboulis and C.S. Upadhyay, A model study of the quality of a-posteriori, error estimators for linear elliptic problems. Part II: Error estimation at the boundary of patchwise uniform grids of triangles, Texas Institute for Computational and Applied Mathematics Report 96-20, The University of Texas at Austin. (Int. J. Numer. Methods Engrg., in press.)
    • Int. J. Numer. Methods Engrg.
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 12
    • 0028548590 scopus 로고
    • Pollution-error in the h-version of the finite-element method and local quality of a-posteriori error estimators
    • I. Babuška, T. Strouboulis, A. Mathur and C.S. Upadhyay, Pollution-error in the h-version of the finite-element method and local quality of a-posteriori error estimators, Finite Elements in Analysis and Design 17 (1994) 273-321.
    • (1994) Finite Elements in Analysis and Design , vol.17 , pp. 273-321
    • Babuška, I.1    Strouboulis, T.2    Mathur, A.3    Upadhyay, C.S.4
  • 13
    • 0029504921 scopus 로고
    • A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method
    • 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
  • 14
    • 0030871492 scopus 로고    scopus 로고
    • Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives
    • 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
  • 15
    • 0024945154 scopus 로고
    • Toward a universal h-p adaptive finite element strategy. Part II: A-posteriori error estimation
    • J.T. Oden, L. Demkowicz, W. Rachowicz and T.A. Westermann, Toward a universal h-p adaptive finite element strategy. Part II: 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
  • 18
    • 0000958140 scopus 로고    scopus 로고
    • Computer-based proof of the existence of superconvergence points in the finite element method; Supercongergence of the derivatives in finite element solutions of Laplace's, Poisson's and Elasticity equations
    • I. Babuška, T. Strouboulis, C.S. Upadhyay and S.K. Gangaraj, Computer-based proof of the existence of superconvergence points in the finite element method; Supercongergence of the derivatives in finite element solutions of Laplace's, Poisson's and Elasticity equations, Numer. Methods for PDEs 12 (1996) 347-392.
    • (1996) Numer. Methods for PDEs , vol.12 , pp. 347-392
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 19
    • 0027642884 scopus 로고
    • Patch recovery based on superconvergent derivatives and equilibrium
    • N.E. Wiberg and F. Abdulwahab, Patch recovery based on superconvergent derivatives and equilibrium, Int. J. Numer. Methods Engrg. 36 (1993) 2703-2724.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 2703-2724
    • Wiberg, N.E.1    Abdulwahab, F.2
  • 20
    • 0028531773 scopus 로고
    • Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
    • N.E. Wilberg, F. Abdulwahab and S. Ziukas, Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions, Int. J. Numer. Methods Engrg. 37 (1994) 3417-3440.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 3417-3440
    • Wilberg, N.E.1    Abdulwahab, F.2    Ziukas, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.