Local residual error estimator and adaptive finite element analysis of Poisson's problems

Computers and Structures

Volumn 80, Issue 27-30, 2002, Pages 2027-2034

  Silva, Rita C C ^a   Loula, Abimael F D ^a  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

Author keywords

Adaptivity; Error estimator; Recovery technique

Indexed keywords

BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING;

RESIDUAL ERRORS;

ERROR ANALYSIS;

EID: 0036859257     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00260-2     Document Type: Conference Paper

References (10)

1. Zienkiewicz O.C., Zhu J.Z. A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Numer. Meth. Engng. 24:1987;337-357.
2. Babuška I., Strouboulis T., Upadhyay C.S., 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. Meth. Engng. 38:1995;4207-4235.
3. Babuška I., Strouboulis T., Gangaraj S.K., Upadhyay C.S. Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives. Comput. Meth. Appl. Engng. 140:1997;1-37.
4. Babuška I., Strouboulis T., Gangaraj S.K. A posteriori estimation of the error in the recovered derivatives of the finite element solution. Comput. Meth. Appl. Engng. 150:1997;369-396.
5. Carey G.F., Pehlivanov A.I. Local error estimation and adaptive remeshing scheme for least-squares mixed finite elements. Comput. Meth. Appl. Engng. 150:1997;125-131.
6. Loula A.F.D., Rochinha F.A., Murad M.A. Higher-order gradient post-processing for second-order elliptic problems. Comput. Meth. Appl. Mech. Engng. 128:1995;361-381.
7. Silva R.C.C., Loula A.F.D., Landau L. Local Gradient Post-processing and Adaptive Finite Element Analysis of Poisson's Problems. In: Proceedings of the Fourth World Congress on Computational Mechanics (IV WCCM), Buenos Aires; 1998.
8. Babuška I., Strouboulis T., Upadhyay CS, Gangaraj SK. Study of Super-convergence by Computer Based Approach. Superconvergence of the Gradients in Finite Element Solutions of Laplace's and Poisson's Equations. Technical Note BN-1155, Institute for Physical and Technology, University of Maryland, College Park; 1993.
9. Zienkiewicz O.C., Zhu J.Z. The superconvergent patch recovery and a posteriori error estimates part 2: error estimates and adaptivity. Int. J. Numer. Meth. Engng. 33:1992;1365-1382.
10. Zienkiewicz O.C., Zhu J.Z. The superconvergent patch recovery (SPR) and adaptive finite element refinement. Comput. Meth. Appl. Mech. Engng. 101:1992;207-224.