By Lourenco Beirao da Veiga, Konstantin Lipnikov, Gianmarco Manzini
This e-book describes the theoretical and computational elements of the mimetic finite distinction technique for a large classification of multidimensional elliptic difficulties, including diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending difficulties. the fashionable mimetic discretization know-how built partially by means of the Authors permits one to resolve those equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The publication presents a pragmatic consultant for these scientists and engineers which are drawn to the computational houses of the mimetic finite distinction approach resembling the accuracy, balance, robustness, and potency. Many examples are supplied to aid the reader to appreciate and enforce this technique. This monograph additionally offers the basic historical past fabric and describes uncomplicated mathematical instruments required to boost additional the mimetic discretization know-how and to increase it to varied purposes.