We consider a nonconforming streamline-diiusion nite element method for solving convection-diiusion problems. The theoretical and numerical investigation for triangular and tetrahedral meshes recently given by John, Maubach and Tobiska has shown that the usual application of the SDFEM gives not a suucient stabilization. Additional parameter dependent jump terms have been proposed which preserve...

We treat a surface finite element method that is based on the trace of a standard finite element space on a tetrahedral triangulation of an outer domain that contains a stationary 2D surface. This surface FEM is used to discretize partial differential equation on the surface. We demonstrate the performance of this method for stationary and time-dependent diffusion equations. For the stationary ...

A new Discrete Ordinates transport solver for unstructured tetrahedral meshes is presented. The uses the Discontinuous Galërkin Finite Element Method with linear or quadratic expansion of flux within each cell. solution one-group problem obtained non-preconditioned fixed-point GMRES iterations. Precision and performances are evaluated on 3D Radiation Transport Benchmark Problems proposed by Kob...

We introduce a new mixed finite element for solving the 2and 3-dimensional wave equations and equations of incompressible flow. The element, which we refer to as P1D-P2, uses discontinuous piecewise linear functions for velocity and continuous piecewise quadratic functions for pressure. The aim of introducing the mixed formulation is to produce a new flexible element choice for triangular and t...

The critical state of a granular material made rounded tetrahedral particles is studied through DEM simulations triaxial compressions. A minimum number 7,500 first obtained as the representative volume element (RVE) for present simulations. Then, macroscopic line (CSL) shown to be increasing in (stress, density) space low confining pressures. Such an unexpected behaviour explained by existence ...