AN ADVANCED FORMULATION FOR THE CLASSICAL METHOD OF TREFFTZ FOR 2D POTENTIAL PROBLEMS

Document Type : Original Article

Authors

Department of Mechanics and Elasticity, The Military Technical College, Kobry El Kobba, Cairo, Egypt.

Abstract

In this paper a variation of the usual Vrefftz method is presented and applied to harmonic problems. Here, the fundamental solutions of the given problem are employed as expansion functions and their singularities are located outside the domain of the problem to avoid any handling of a singul-ar quantities. This method has a significant computationsal advantage in that here no integrations are required. Test problems have been analysed using tie proposed method and the results compared with those generated by the ReHlar Boundary Element Method using continuous and partially - dis-continous elements.