Issue |
MATEC Web Conf.
Volume 196, 2018
XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|
|
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Article Number | 03026 | |
Number of page(s) | 8 | |
Section | Geodesy and Geotechnics | |
DOI | https://doi.org/10.1051/matecconf/201819603026 | |
Published online | 03 September 2018 |
Free surface groundwater flow solution using boundary collocation methods
University of Žilina, Department of geotechnics,
Univerzitná 8215/1,
010 26 Žilina,
Slovakia
*
Corresponding author: muzik@fstav.uniza.sk
In this paper, two meshless numerical algorithms are developed for the solution of two-dimensional steady-state diffusion equation that describes the stationary groundwater flow. The proposed numerical methods, which are truly meshless, quadrature-free and boundary only, are based on the method of fundamental solutions and singular boundary method respectively. The diffusion equation is transformed into a Poisson-type equation with a known fundamental solution. Numerical examples with moving boundary are presented and compared to the solutions obtained by the finite element method.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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