Open Access

ARTICLE

On Increasing Computational Efficiency of Local Integral Equation Method Combined with Meshless Implementations

by V. Sladek¹, J. Sladek¹, Ch. Zhang²

1 Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, Slovakia ( vladimir.sladek@savba.sk, jan.sladek@savba.sk)
2 Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9-11, D-57076 Siegen, Germany (c.zhang@uni-siegen.de)

Computer Modeling in Engineering & Sciences 2010, 63(3), 243-264. https://doi.org/10.3970/cmes.2010.063.243

Abstract

The paper deals with diminishing the prolongation of the computational time due to procedural evaluation of the shape functions and their derivatives in weak formulations implemented with meshless approximations. The proposed numerical techniques are applied to problems of stationary heat conduction in functionally graded media. Besides the investigation of the computational efficiency also the accuracy and convergence study are performed in numerical tests.

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Keywords

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