Mortar-like mixed-hybrid methods for elliptic problems on complex geometries

Abstract

We consider a model of the  ow in fractured porous media based on the dual continuum approach and explicit description of the fracture zones by lower-dimensional objects. For this model, we present the mixed-hybrid formulation and discretization using Raviart-Thomas nite elements. In particular, we present two new methods for the discrete coupling between equations on meshes of dierent dimensions with arbitrary overlapping. Convergence properties of these methods are demonstrated by numerical tests.