The mimetic finite difference method for elliptic problems

This book offers a systematic and thorough examination of theoretical and computational aspects of the modem mimetic finite difference (MFD) method. The MFD method preserves or mimics underlying properties of physical and mathematical models, thereby improving the fidelity and predictive capability of computer simulations. We focus here on the numerical solution of elliptic partial differential equation (PDEs) on unstructured polygonal and polyhedral meshes for which the MFD method has proven to be very successful in the last five decades.