Coupling of MFE or Mimetic Finite Differences with Discontinuous Galerkin for Poro-Elasticity

Thursday, May 13, 2004 - 1:30pm - 2:20pm
Keller 3-180
Mary Wheeler (The University of Texas at Austin)
In this presentation we discuss the modeling of Biot's consolidation model for poro-elasticity in porous media. Here we employ a mixed finite element or a mimetic finite difference method for approximating the pore pressure and a discontinuous Galerkin method for approximating displacements. This approach yields a locally conservative flow field and continuous numerical fluxes and forces. Moreover numerical eperiments indicate that the pore pressure is non-oscillatory even in low permeability regions. Theoretical error estimates and computational results will be presented to demonstrate this scheme.