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A Parametric Study of Mesh Free Interpolation Based Recovery Techniques in Finite Element Elastic Analysis

Mohd. Ahmed1,*, Mohamed Hechmi El Ouni1, Devinder Singh2, Nabil Ben Kahla1
1 College of Engineering, Main Campus, Gregar, K. K. University, Abha, 61421, KSA.
2 Minitry of Information, Soochan Bhavan, CGO Complex, Delhi, 110003, India.
* Corresponding Author: Mohd. Ahmed. Email: .

Computer Modeling in Engineering & Sciences 2019, 121(2), 687-786.


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 reliability 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.


Effectivity, error norm, moving least square interpolation, least square interpolation, recovery techniques.

Cite This Article

Ahmed, M., Hechmi, M., Singh, D., Kahla, N. B. (2019). A Parametric Study of Mesh Free Interpolation Based Recovery Techniques in Finite Element Elastic Analysis. CMES-Computer Modeling in Engineering & Sciences, 121(2), 687–786.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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