TY - EJOU AU - Sladek, V. AU - Sladek, J. AU - Tanaka, M. TI - Local Integral Equations and two Meshless Polynomial Interpolations with Application to Potential Problems in Non-homogeneous Media T2 - Computer Modeling in Engineering \& Sciences PY - 2005 VL - 7 IS - 1 SN - 1526-1506 AB - An efficient numerical method is proposed for 2-d potential problems in anisotropic media with continuously variable material coefficients. The method is based on the local integral equations (utilizing a fundamental solution) and meshfree approximation of field variable. A lot of numerical experiments are carried out in order to study the numerical stability, accuracy, convergence and efficiency of several approaches utilizing various interpolations. KW - Integral equations KW - fundamental solution KW - subdomain KW - continuous non-homogeneity KW - anisotropy DO - 10.3970/cmes.2005.007.069