Applied Mathematics and Computation, ( ISI ), Volume (181), No (1), Year (2006-1) , Pages (175-184)

Title : ( Corrected fundamental numerical solution of elliptic PDEs )

Authors: M.Ghorbani , Ali Reza Soheili ,
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Abstract

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