Local error estimator for stresses in 3D structural analysis

Computers and Structures

Volumn 81, Issue 18-19, 2003, Pages 1751-1757

  Florentin, E ^a   Gallimard, L ^a   Ladeveze P ^a   Pelle, J P ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

A posteriori error estimation; Local error; Stress

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD; PLASTICITY; STRESSES;

LOCAL ERROR;

STRUCTURAL ANALYSIS;

EID: 0037775852     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(03)00199-8     Document Type: Conference Paper

References (13)

1. Babuska I., Rheinboldt W.C. A posteriori estimates for the finite element method. Int. J. Numer. Meth. Engrg. 12:1978;1597-1615.
2. Ladevèze P., Leguillon D. Error estimate procedure in the finite element method and application. SIAM J. Numer. Anal. 20(3):1983;485-509.
3. Zienkiewicz O.C., Zhu J.Z. A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Numer. Meth. Engrg. 24:1987;337-357.
4. Babuska 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. Engrg. 38:1995;4207-4235.
5. Babuska I., Strouboulis T., Gangaraj S.K., Copps K., Datta D.K. A posteriori estimation of the error estimate. Ladevèze P., Oden J.T. Advances in adaptive computational methods in mechanics, Studies in Applied Mechanics 47. 1998;155-197 Elsevier, Amsterdam.
6. Ladevèze P., Rougeot P., Blanchard P., Moreau J.P. Local error estimators for finite element analysis. Comp. Meth. Appl. Mech. Engrg. 176:1999;231-246.
7. Peraire J., Patera A. Bounds for linear-functional outputs of coercive partial differential equations: local indicators and adaptive refinement. Ladevèze P., Oden J.T. Advances in adaptive computational methods. 1998;199-216 Elsevier.
8. Prudhomme S., Oden J.T. On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors. Comp. Meth. Appl. Mech. Engrg. 176:1999;313-331.
9. Rannacher R., Stuttmeier F.T. A feedback approach to error control in finite element methods: Application to linear elasticity. Computat. Mech. 19:1997;434-446.
10. Florentin E, Gallimard L, Ladevèze P, Pelle JP. Stress local upper bound for 2D and 3D elasticity problems. In: Proc. European Congress on Computational Methods in Applied Science and Engineering, Barcelona, September 2000, 2000.
11. Ladevèze P., Pelle J.P., Rougeot P. Error estimation and mesh optimization for classical finite elements. Engrg. Computat. 8:1991;69-80.
12. Prager W., Synge J.L. Approximation in elasticity based on the concept of functions space. Quart. Appl. Math. 5:1947;261-269.
13. Ladevèze P., Rougeot P. New advances on a posteriori error on constitutive relation in f.e. analysis. Comp. Meth. Appl. Mech. Engrg. 150:1997;239-249.