The Stokes complex for Virtual Elements in three dimensions

Conforming and divergence-free Stokes elements in three dimensions

Conforming finite element pairs for the three-dimensional Stokes problem on general simplicial triangulations are constructed. The pressure space simply consists of piecewise constants, where as the velocity space consists of cubic polynomials augmented with rational functions. We show the existence of a bounded Fortin projection and therefore the necessary LBB condition is satisfied. In additi...

Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions

Creating three dimensions in virtual auditory displays

In order to create a three-dimensional virtual auditory display, both source direction and source distance must be simulated accurately. Echoes and reverberation provide the most robust cue for source distance and also improve the subjective realism of the display. However, including reverberation in a virtual auditory display can have other important consequences: reducing directional localiza...

Finite elements for symmetric tensors in three dimensions

We construct finite element subspaces of the space of symmetric tensors with square-integrable divergence on a three-dimensional domain. These spaces can be used to approximate the stress field in the classical Hellinger–Reissner mixed formulation of the elasticty equations, when standard discontinuous finite element spaces are used to approximate the displacement field. These finite element sp...

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...