The Use of Singularity Programming in Finite-Difference and Finite-Element Computations of Temperature

This report contains a description of a numerical technique designed to overcome the difficulties associated with the usual solution of two-dimensional discretized thermal problems when there are singularities arising from point sources or discontinuous boundary conditions. The method is here applied to both the finite-difference and the finite-element approach by incorporating in the numerical computations the known analytical form of the singularities.