Probabilistic analysis of an a posteriori error estimator for finite elements

Mathematical Models and Methods in Applied Sciences

Volumn 11, Issue 5, 2001, Pages 841-854

  Díez, Pedro ^a   Egozcue, Juan José ^a  

^a ETS de Ingenieros de Caminos   (Spain)

Author keywords

Adaptivity; Error estimation; Finite elements; Probabilistic analysis

Indexed keywords

EID: 0035595977     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001136     Document Type: Article

References (10)

1. I. Babuška, R. Durán and R. Rodríguez, Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements, SIAM J. Numer. Anal. 29 (1992) 947-964.
2. P. Díez, Un nuevo estimador de error para el método de los elementos finitos, Doctoral Thesis, Universitat Politècnica de Catalunya, Barcelona (1996).
3. P. Díez, J. J. Egozcue and A. Huerta, A posteriori error estimation for standard finite element analysis, Computer Method Appl. Mech. Engrg. 163 (1998) 141-157.
4. P. Díez, J. J. Egozcue and A. Huerta, Analysis of the average efficiency of an error estimator, in Finite Element Methods: Superconvergence, Post-processing and a Posteriori Estimates, eds. M. Křížek et al. (Marcel Dekker, 1998), pp. 113-126.
5. P. Díez and A. Huerta, A unified approach to remeshing strategies for finite element h-adaptivity, Computer Methods Appl. Mech. Engrg. 176 (1999) 215-229.
6. P. Díez, M. Arroyo and A. Huerta, Adaptivity based on error estimation for viscoplastic softening materials, Mech. Cohesive-Frictional Materials 5 (2000) 87-112.
7. R. Durán and R. Rodríguez, On the asymptotic exactness of Bank-Weiser's estimator, Numer. Math. 62 (1992) 297-303.
8. A. Huerta and P. Díez, Error estimation including pollution assessment for nonlinear finite element analysis, Computer Methods Appl. Mech. Engrg. 181 (2000) 21-41.
9. D. W. Lewis, Matrix Theory (World Scientific, 1991)
10. O. C. Zienkiewicz and J. Z. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Internat. J. Numer. Methods Engrg. 24 (1987) 337-357.