Open Access

ARTICLE

A Comparative Study of Meshless Approximations in Local Integral Equation Method

Vladimir Sladek¹, Jan Sladek¹, Chuanzeng Zhang²

1 Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia, E-mail: vladimir.sladek@savba.sk, jan.sladek@savba.sk
2 Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany E-mail: c.zhang@uni-siegen.de

Computers, Materials & Continua 2006, 4(3), 177-188. https://doi.org/10.3970/cmc.2006.004.177

Abstract

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.

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Keywords

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