MATEC Web Conf.
Volume 196, 2018XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|Number of page(s)||8|
|Section||Geodesy and Geotechnics|
|Published online||03 September 2018|
Free surface groundwater flow solution using boundary collocation methods
University of Žilina, Department of geotechnics,
010 26 Žilina,
Corresponding author: firstname.lastname@example.org
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
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