THE METHOD OF AUXILIARY MAPPING FOR THE FINITE-ELEMENT SOLUTIONS OF ELASTICITY PROBLEMS CONTAINING SINGULARITIES

We have introduced a new approach called the method of auxiliary mappi ng to deal with elliptic boundary Value problems with singularities. I n this paper this method is extended so that it can handle the plane e lasticity problems containing singularities. In order to show the effe ctiveness, this method is compared with the conventional approach in t he framework of the p-version of the finite element method. Moreover, it is demonstrated that this method yields a better solution for those elasticity problems containing strong singularities than does the h-p version of the finite element method. (C) 1995 Academic Press. Inc.