Title:         A mortar mimetic finite difference method on non-matching grids

Authors:       M. Berndt, K. Lipnikov, M. Shashkov, M. F. Wheeler, and I. Yotov

Source:        Numer. Math. vol. 102 no. 2 (2005) 203-230
               http://dx.doi.org/10.1007/s00211-005-0631-4

Status:        Published 

Abstarct: We consider mimetic finite difference approximations to
second order elliptic problems on non-matching multiblock
grids. Mortar finite elements are employed on the non-matching
interfaces to impose weak flux continuity.  Optimal convergence and,
in certain cases, superconvergence is established for both the scalar
variable and its flux. The theory is confirmed by computational
results.