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A Comparative Study of Meshless Approximations in Local Integral Equation Method

Vladimir Sladek1, Jan Sladek1, Chuanzeng Zhang2

Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia, E-mail:,
Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany E-mail:

Computers, Materials & Continua 2006, 4(3), 177-188.


This paper concerns the stability, convergence of accuracy and cost efficiency of four various formulations for solution of boundary value problems in non-homogeneous elastic solids with functionally graded Young's modulus. The meshless point interpolation method is employed with using various basis functions. The interaction among the elastic continuum constituents is considered in the discretized formulation either by collocation of the governing equations or by integral satisfaction of the force equilibrium on local sub-domains. The exact benchmark solutions are used in numerical tests.


Cite This Article

V. . Sladek, J. . Sladek and C. . Zhang, "A comparative study of meshless approximations in local integral equation method," Computers, Materials & Continua, vol. 4, no.3, pp. 177–188, 2006.

cc 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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