On error estimation and adaptive refinement for element free Galerkin method: Part II: Adaptive refinement

Computers and Structures

Volumn 82, Issue 4-5, 2004, Pages 429-443

  Lee, C K ^a   Zhou, C E ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

A priori and a posteriori error estimation; Adaptive refinement; Element free Galerkin method; Point mesh generation; Stress recovery

Indexed keywords

BENCHMARKING; COMPUTATIONAL METHODS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; GALERKIN METHODS; STABILITY; STRESS ANALYSIS;

ADAPTIVE REFINEMENT; ELEMENT FREE GALERKIN METHOD; POINT MESH GENERATION; STRESS RECOVERY;

ELASTICITY;

EID: 0742269995     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2003.10.017     Document Type: Article

References (19)

1. Lohner R., Morgan K., Zienkiewicz O.C. An adaptive finite element procedure for compressible high speed flows. Comput. Methods Appl. Mech. Eng. 51:1985;441-465.
2. Zienkiewicz O.C., Huang G.C., Liu Y.C. Adaptive FEM computation of forming processes - application to porous and non-porous materials. Int. J. Numer. Methods Eng. 30:1990;1527-1553.
3. Lee C.K., Lo S.H. An automatic adaptive refinement finite element procedure for 2D elastostatic analysis. Int. J. Numer. Methods Eng. 35:1992;1967-1989.
4. Lee C.K., Hobbs R.E. Automatic adaptive refinement for shell analysis using nine-node assumed strain element. Int. J. Numer. Methods Eng. 40:1997;3601-3638.
5. Lee C.K., Hobbs R.E. On solving nearly incompressible 2D problems using an adaptive refinement procedure. Commun. Numer. Methods Eng. 41:1998;409-418.
6. Lee C.K., Hobbs R.E. Automatic adaptive refinement for plate bending problems using Reissner-Mindlin plate bending elements. Int. J. Numer. Methods Eng. 41:1998;1-63.
7. Taylor RL. FEAP, A finite element analysis program version 7.4. Released, http://www.ce.berkeley.edu/̃rlt/feap/.
8. LUSAS, MYSTRO user guide, FEA, Ltd, UK, 1997.
9. Lo SH, editor. Special issue on adaptive meshing. Part II. Finite Elem Anal Des 1997;25.
10. Shephard MS, Weatherill NP, editor. Special issue on adaptive meshing. Int J Numer Methods Eng 1991;32.
11. Lee CK, Zhou CE. On error estimation and adaptive refinement for element free Galerkin method. Part I. Stress recovery and a posteriori error estimation. Comput Struct, in press. (doi:10.1016/j.compstruc.2003.10.018).
12. Krysl P., Belytschko T. Element-free Galerkin method: convergence of the continuous and discontinuous shape functions. Comput. Methods Appl. Mech. Eng. 148:1997;257-277.
13. Belytschko T., Lu Y.Y., Gu L. Element-free Galerkin methods. Int. J. Numer. Methods Eng. 37:1994;229-256.
14. Lu Y.Y., Belytschko T., Gu L. A new implementation of the element free Galerkin method. Comput. Methods Appl. Mech. Eng. 113:1994;397-414.
15. Zienkiewicz O.C., Zhu J.Z. A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Numer. Methods Eng. 24:1987;337-357.
16. Onate E., Bugeda G. A study of mesh optimality criteria in adaptive finite element analysis. Eng. Comput. 10:1993;307-321.
17. Baehmann P.L., Wittchen S.L., Shephard M.S., Grice K.R., Yerry M.A. Robust, geometrically based, automatic two-dimensional mesh generation. Int. J. Numer. Methods Eng. 24:1987;1043-1087.
18. Sukumar N., Moran B., Belytschko T. The natural element method in solid mechanics. Int. J. Numer. Methods Eng. 43:1998;839-887.
19. Igor K., Sunil S. An improved element free Galerkin formulation. Int. J. Numer. Methods Eng. 40:1997;2953-2974.