A note on the finite element method with singular basis functions

In this note, we make a few comments concerning the paper of Hughes and Akin (Int. J. Numer. Meth. Engng., 15, 733{751 (1980)). Our primary goal is to demonstrate that the rate of convergence of numerical solutions of the nite element method with singular basis functions depends upon the location of additional collocation points associated with the singular elements.