Developments with hybrid-Trefitz stress and displacement elements

Summary The paper reports on the work on hybrid-Trefitz flnite elements developed by the Structural Analysis Re- search Group, ICIST, Technical University of Lisbon. A dynamic elastoplastic problem is used to describe the technique used to establish the alternative stress and displacement models of the hybrid-Trefitz flnite element formulations. They are derived using independent time, space and flnite element bases, so that the resulting solving systems are symmetric, sparse, naturally p-adaptive and particularly well suited to paral- lel processing. The performance of the hybrid-Trefitz stress and displacement models is illustrated with a number of representative static and dynamic applications of elastic and elastoplastic structural problems.