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

V. Sladek1, J. Sladek1, Ch. Zhang2
Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, Slovakia ( vladimir.sladek@savba.sk, jan.sladek@savba.sk)
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.

Keywords

strong and weak formulations, Moving Least Squares approximation, computational time, accuracy, convergence, potential problem

Cite This Article

Sladek, V., Sladek, J., Zhang, C. (2010). On Increasing Computational Efficiency of Local Integral Equation Method Combined with Meshless Implementations. CMES-Computer Modeling in Engineering & Sciences, 63(3), 243–264.



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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