Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39620131215The streamline diffusion method with implicit integration for the multi-dimensional Fermi Pencil Beam equation11591180467ENE.KazemiIsfahan University of Technology, Isfahan, IranJournal Article20120621We derive error estimates in the appropriate norms, for the streamline<br />diffusion (SD) finite element methods for steady state, energy dependent,<br />Fermi equation in three space dimensions. These estimates yield optimal convergence<br />rates due to the maximal available regularity of the exact solution.<br />High order SD method together with implicit integration are used. The formulation<br />is strongly consistent in the sense that the time derivative is included<br />in the stabilization term. Here our focus is on theoretical aspects of the h and<br />hp approximations in SD settings.http://bims.iranjournals.ir/article_467_6a62e34662811d8fa55d39ce9ae949e3.pdf