BOUNDARY SINGULARITIES IN THE LAPLACE EQUATION BY ENRICHED FINITE-ELEMENTS

An enriched finite element model is presented for the solution of the two-dimensional Laplace equation with boundary singularities. The polynomial approximations for a conventional element are supplemented with the analytic expression for the field near the point of singularity. This approach results in the direct calculation of the coefficient of the dominant singular term. The method is demonstrated using a simple numerical example and the results are compared with those of other methods. © 1990.