The mimetic finite difference method (MFD) has become a very popular numerical approach to successfully solve a wide range of problems. This is undoubtedly connected to its great flexibility in dealing with very general polygonal/polyhedral meshes and its capability of preserving the fundamental properties of the underlying physical and mathematical models. The MFD method has been applied with success to a wide range of linear as well non-linear problems. Recently, the mimetic approach has been recasted as the virtual element method (VEM). The research at MOX in this context, focuses on both the theoretical/computational approximation properties of MFD methods as well as the application of MFD methods to the model flows in fractured porous media.
View a list of journal publications and MOX Reports related to MFD methods.
View a list of theses related to MFD methods.