Moving Least Squares (MLS) Interpolation Based Post-processing Parametric Study in Finite Element Elastic Problems

  • Mohd. AhmedEmail author
  • Mohamed Hechmi El Ouni
  • Devender Singh
  • Nabil Ben Kahla
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 75)


The parametric effect on performance of Moving Least Squares (MLS) interpolation based recovery technique is evaluated in this paper. The Moving Least Squares (MLS) fitting recovers the field variable derivatives over nodes patch using background element meshes. The recovered errors at element and global levels in the finite element solution are presented in energy norm. The study considers three basic recovery parameters (i.e. parameters affecting the post-processed results) namely shape of influence (support) domain, dilation parameter and order of poly nominal basis function. Numerical experiments on elastic plate problems are carried out for parametric effect of interpolation based post processing technique on effectivity of error estimation and rate of convergence of the recovered solution with fineness of the meshing scheme. The linear and quadratic triangular elements have been used for the discretization of the problem domain. The circular and rectangular shape domain of influence is used to form the node patch. Six different dilation parameters and three different number of basis function terms are selected in the moving least squared interpolation formulation. The study shows that recovery parameters of MLS interpolation method have pronounced effect on the post-processing recovery of finite element solution and optimal alternatives are to be adopted for better performance of the recovery procedures.


Effectivity Error estimation Error norm Moving least square interpolation Post-processing techniques 



Authors thank Deanship of Research, Ministry of Higher Education, KSA, for financial support to carry out the research work. The authors also acknowledge to the Dean, College of Engineering for his valuable support and help.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Mohd. Ahmed
    • 1
    Email author
  • Mohamed Hechmi El Ouni
    • 1
  • Devender Singh
    • 2
  • Nabil Ben Kahla
    • 1
  1. 1.College of Engineering, Main Campus, GregarK. K. UniversityAbhaSaudi Arabia
  2. 2.Ministry of Information, Soochan Bhavan, CGO ComplexDelhiIndia

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