A Parametric Study of Mesh Free Interpolation Based Recovery Techniques in Finite Element Elastic Analysis
Mohd. Ahmed, Mohamed Hechmi El Ouni, Devinder Singh, Nabil Ben Kahla
2019
CMES - Computer Modeling in Engineering & Sciences
The paper presents a parametric study on interpolation techniques based postprocessed error estimation in finite element elastic analysis by varying important parameters of recovery, interpolation scheme and type of patch construction. The quality of error estimation with recovery parameters is compared in terms of local and global effectivity of error estimation, rate of error convergence, and adaptively refined meshes. A mesh free moving least square interpolation technique with proven
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... lity and effectivity is introduced for improving the recovery of finite element solution errors. The post-processed finite element solutions of elastic problems are presented for performance study under different parameters of recovery technique. The study concludes that recovery parameters of interpolation method have pronounced effect on the recovery of finite element solution error and analysis in adaptive environment. Keywords: Effectivity, error norm, moving least square interpolation, least square interpolation, recovery techniques. References Ahmed, M.; Singh, D. (2008): An adaptive parametric study on mesh refinement during adaptive finite element simulation of sheet forming operations. Turkish Journal of Engineering and Environmental Sciences, vol. 13, pp. 1-13. Ahmed, M.; Singh, D.; Desmukh, M. N. (2018): Interpolation type stress recovery technique based error estimator for elasticity problems. Mechanika, vol. 24, no. 5, pp. 672-679. Ainsworth, M.; Oden, J. T. (1997): A posteriori error estimation in finite element analysis. . Bramble, J. H.; Schatz, A. H. (1977): Higher order local accuracy by averaging in finite element method. Mathematics of Computation, vol. 31, pp. 94-111. Dow, J. O. (1999): A Uniform Approach to the Finite Element Method and Error Analysis Procedures. Academic Press, London. Gratsch, T.; Bathe, K. (2005): A Posteriori error estimation techniques in practical finite element analysis. Computers & Structures, vol. 83, pp. 235-265. Hinton, E.; Campbell, J. S. (1974): Local and global smoothing of discontinuous finite element functions using a least square methods. : On the optimal shape parameters of radial basis functions used for 2-D meshless methods.
doi:10.32604/cmes.2019.06886
fatcat:2kkowd6vxrfcfpiyetoyvvq72u