A mortar mixed finite volume method for elliptic problems on non-matching multi-block triangular grids (Q1685501)

A second-order elliptic equation is considered as a single phase flow model. The mixed formulation of this problem is approximated using a mixed finite volume method applied. The diffusion tensor is allowed to be discontinuous. A conforming triangular partition is considered and the standard mixed finite volume method is used. A mortar finite element space is introduced to approximate the pressure on non-matching interfaces. The scheme is proved to have the optimal rate of convergence for both the pressure and the velocity. Numerical experiments are shown and confirm the theoretical results.