Oberseminar Numerische Mathematik / Scientific Computing
Robert Eymard
Université Paris Est
Approximation of anisotropic heterogeneous diffusion problems on any grids
Abstract:
The simulation of radionucleides transfers in the soils, or that of oil recovery for example, involve the computation of flows into heterogeneous and anisotropic porous media.We present some new schemes, which present the following characteristics:
- they hold in the case of any grid, including nonconforming ones,
refined ones, and apply on general quadrangular (2D) or hexahedric (3D)
grid blocks,
- convergence and error estimate are available, thanks to
discrete Sobolev inequalities,
- generalizations on nonlinear diffusion operators, such as
the Leray-Lions one, can be easily derived,
- integration of such a scheme for Navier-Stokes approximation
is natural.
| Datum: | 11.02.08 | Zeit: | 16:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |