Volume 5, Issue 2 (June 2007)
IJCE 2007, 5(2): 134-143 |
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Rahmani Firoozjaee A, Afshar M. Discrete least square method (DLSM) for the solution of free surface seepage problem. IJCE 2007; 5 (2) :134-143
URL: http://ijce.iust.ac.ir/article-1-319-en.html
URL: http://ijce.iust.ac.ir/article-1-319-en.html
Abstract: (11650 Views)
A meshless method namely, discrete least square method (DLSM), is presented in the
paper for the solution of free surface seepage problem. In this method computational domain is
discredited by some nodes and then the set of simultaneous equations are built using moving least
square (MLS) shape functions and least square technique. The proposed method does not need any
background mesh therefore it is a truly meshless method. Several numerical two dimensional
examples of Poisson partial differential equations (PDEs) are presented to illustrate the
performance of the present DLSM. And finally a free surface seepage problem in a porous media is
solved and results are presented.
Keywords: Numerical analysis, Meshless method, MLS, Least square technique, Poisson PDE, Seepage problem, DLSM
Type of Study: Research Paper |
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