Corrected fundamental solution for numerical solution of elliptic PDEs

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摘要

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.

论文关键词: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

论文评审过程:Available online 3 March 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.01.026