A note on Green element method discretization for Poisson’s equation in polar coordinates

In the work described herein, the Green element method (GEM) is applied to arrive at new sets of element matrices for the solution of Poisson’s equation in polar coordinates. A unique flexibility possessed by GEM allows integration within a typical element. This special GEM characteristic, in addition to providing exact values of element coefficient matrices, facilitates the handling of nodal singularities and variable coefficients that accompany such problems. Numerical solutions provided by GEM confirm reliability.