Extending the Mortar Method to Polyhedral Meshes by Using the Cell Method Formulation on Augmented Dual Grids

The mortar method is here extended to arbitrary polyhedral meshes by exploiting Cell Method (CM) formulation on augmented dual grids. This approach overcomes discretization limitations of standard mortar methods, based on Finite Element Method (FEM). Numerical tests on regular grids show that both FEM optimality and accuracy are preserved with mortar CM. Much more general polyhedral meshes can be handled as well