Title : ( Corrected fundamental numerical solution of elliptic PDEs )
Authors: M.Ghorbani , Ali Reza Soheili ,
Full TextAbstract
Corrected fundamental solution (CFS) is a meshless method for homogeneous elliptic problems that corrects the density function in a simple layer potential integral. In the CFS method, we apply a new expansion of density function with variable coefficients which are approximated in a finite subspace of a complete space. These coefficients are determined by the moving least square method (MLS), using a suitable weight function that its support is in the real and artificial domain.
Keywords
Fundamental solution (FS); Method of fundamental solution (MFS); Corrected fundamental solution (CFS); Simple layer potential integral; Moving least square method (MLS); Complete bases; Homogenous and elliptic problems
@article{paperid:1016070,
author = {M.Ghorbani and Soheili, Ali Reza},
title = {Corrected fundamental numerical solution of elliptic PDEs},
journal = {Applied Mathematics and Computation},
year = {2006},
volume = {181},
number = {1},
month = {January},
issn = {0096-3003},
pages = {175--184},
numpages = {9},
keywords = {Fundamental solution (FS); Method of fundamental solution (MFS); Corrected fundamental solution (CFS); Simple layer potential integral; Moving least square method (MLS); Complete bases; Homogenous and elliptic problems},
}
%0 Journal Article
%T Corrected fundamental numerical solution of elliptic PDEs
%A M.Ghorbani
%A Soheili, Ali Reza
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2006
