Numerical solutions to a class of scalar elliptic BVPs for anisotropic quadratically graded media

Abstract

Boundary value problems (BVPs) governed by a class of elliptic equations for anisotropic quadratically graded media are solved using Boundary Element Method (BEM). The variable coefficient governing equation is transformed to a constant coefficient equation which is then transformed to a boundary integral equation. The results show the convergence, consistency, and accuracy of the BEM solutions.