In the method of fundamental solutions (MFS), source nodes on circles outside the solution
domains S has been widely applied in numerical computation. In this paper, source nodes …

The interior field method (IFM) is applied to Neumann problems for Laplace's equation in
elliptic domains. The polynomial convergence rates are derived, and small condition …

The dual techniques have been widely used in many engineering papers, to deal with
singularity and ill-conditioning of the boundary element method (BEM). In this paper, we …

The Method of Fundamental Solutions: Theory and Applications Page 1 Current Natural
Sciences Zi-Cai LI, Hung-Tsai HUANG, Yimin WEI and Liping ZHANG The Method of …

Dual techniques have been used in many engineering papers to deal with singularity and ill-
conditioning of the boundary element method (BEM). In the first part of the two-part article …

The construction of solutions to the problem with a free boundary for the non-linear
heatequation which have the heat wave type is considered in the paper. The feature of such …

Dual techniques have been used in many engineering papers to deal with singularity and ill-
conditioning of the boundary element method (BEM). In the first part of the two-part article …

Recently, the null fields method (NFM) is proposed by Chen with his groups [8]. In NFM, the
fundamental solutions with the field nodes outside of the solution domain are used in the …