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The method of fundamental solutions for solving free boundary saturated seepage problem

✍ Scribed by Khomgris Chaiyo; Phadungsak Rattanadecho; Somchart Chantasiriwan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
735 KB
Volume
38
Category
Article
ISSN
0735-1933

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✦ Synopsis

The problem of seepage flow through a dam is free boundary problem that is more conveniently solved by a meshless method than a mesh-based method such as finite element method (FEM) and finite difference method (FDM). This paper presents method of fundamental solutions, which is one kind of meshless methods, to solve a dam problem using the fundamental solution to the Laplace's equation. Solutions on free boundary are determined by iteration and cubic spline interpolation. The numerical solutions then are compared with the boundary element method (BEM), FDM and FEM to display the performance of present method.

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## Abstract A fundamental‐solution‐less boundary element method, the scaled boundary finite‐element method, has been developed recently for exterior wave problems. In this method, only the boundary is discretized yielding a reduction of the spatial dimension by one, but no fundamental solution is n