Reproducing Kernel Element Method for Galerkin Solution of Elastostatic Problems

Main Article Content

Mario J Juha
Universidad Autónoma del Caribe
https://orcid.org/0000-0002-0269-0426

Keywords

Elasticity, convergence, RKEM, continuity, Galerkin methods.

Abstract

The Reproducing Kernel Element Method (RKEM) is a relatively new technique developed to have two distinguished features: arbitrary high order smoothness and arbitrary interpolation order of the shape functions. This paper provides a tutorial on the derivation and computational implementation of RKEM for Galerkin discretizations of linear elastostatic problems for one and two dimensional space. A key characteristic of RKEM is that it do not require mid-side nodes in the elements to increase the interpolatory power of its shape functions, and contrary to meshless methods, the same mesh used to construct the shape functions is used for integration of the stiffness matrix. Furthermore, some issues about the quadrature used for integration arediscussed in this paper. Its hopes that this may attracts the attention of mathematicians.

MSC: 65N30

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References

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Published
Nov 30, 2012
DOI https://doi.org/10.17230/ingciencia.8.16.4

Article Details

How to Cite
Juha, M. J. (2012). Reproducing Kernel Element Method for Galerkin Solution of Elastostatic Problems. Ingeniería Y Ciencia, 8(16), 71–96. https://doi.org/10.17230/ingciencia.8.16.4
Issue
Vol. 8 No. 16 (2012)
Section
Articles
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Author Biography

Mario J Juha, Universidad Autónoma del Caribe

Doctor en Ingenieria Civi

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