A directional error estimator for adaptive limit analysis

Mechanics Research Communications

Volumn 26, Issue 5, 1999, Pages 555-563

  Borges, Lavinia ^a   Feijóo, Haúl ^b   Zouain, Nestor ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; ESTIMATION; FINITE ELEMENT METHOD; INTERPOLATION;

ADAPTIVE LIMIT ANALYSIS; DIRECTIONAL ERROR ESTIMATORS; MESH ADAPTATION;

PLASTIC DEFORMATION;

EID: 0033190084     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0093-6413(99)00062-2     Document Type: Article

References (13)

1. L.A. Borges, N. Zouain, N. and A.E. Huespe. A nonlinear optimization procedure for limit analysis. European Journal of Mechanics A/Solids. 15, 3, pp. 487-512 (1996)
2. R. Verfürth. A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Publication of Institut für Angewandte Mathematik der Universität Zürich. (1995)
3. E. Christiansen, K.D. Andersen; Computation of collapse states with von Mises type yield condition. Institut for Matematik og Datalogi. Preprint 18, pp. 1-25 (1998)
4. J. Peiró. A Finite Element Procedure for the Solution of the Euler Equations on the Unstructured Meshes. Ph.D. thesis, Department of Civil Engineering, University of Swansea, UK. (1989)
5. J. Dompierre, M.G. Vallet, M. Fortin, W.G. Habashi, D. Aït-Ali-Yahia, S. Boivin, Y. Bourgault and A. Tam. Edge-Based Mesh Adaptation for CFD. Conference on Numerical Methods for the Euler and Navier-Stokes Equations. Montreal, pp. 265-299 (1995)
6. G.C. Buscaglia and E. Dari. Anisotropic Mesh Optimization and its Application in Adaptivity. International Journal for Numerical Methods in Engineering. 40, pp. 4119-4136 (1997)
7. R.A. Feijóo and L.A. Borges. Estimadores a posteriori y sus Aplicaciones en el Análisis Adaptativo. Internal Report No 1/97- COPPE/UFRJ, (1997)
8. L.A. Borges, R.A. Feijóo, C. Padra and N. Zouain. A directional error estimator for adaptive finite element analysis. Computational Mechanics - New trends and Applications - Fourth World Congress on Computational Mechanics - IV WCCM. Argentina. (1998)
9. O.C. Zienckiewicz and J.Z. Zhu. Superconvergent Patch Recovery Techniques - Some Further Tests, Comm. Appl. Numer. Methods, texb 9, 251-258 (1993)
10. O.C. Zienckiewicz and J.Z. Zhu. A Simple Error Estimator and Adaptive Procedure for Practical Engineering Analyses. Int. J. Numer. Methods Eng.. 24, 333-357 (1987)
11. O.C. Zienckiewiczand R.L. Taylor The Finite Element Method, Fourth Edition, McGraw Hill Int. Ed. (1991)
12. M. Oliveira, A.C.S. Guimarães, R.A. Feijóo, M.J. Venere and E. Dari. An Object Oriented Tool for Automatic Surface Mesh Generation Using the Advancing Front Technique. Report LNCC/CNPq 18/95, (to appear in Int. Journal for Latin America Applied Research). (1995)
13. GAYDON F.A. Gaydon and A.W. McCrum. A Theoretical Investigation of the Yield Point Loading of a Square Plate with a Central Circular Hole. J. Mech. and Phys. Solids. 2, pp. 156-169 (1954)