By Lourenco Beirao da Veiga, Konstantin Lipnikov, Gianmarco Manzini

This booklet describes the theoretical and computational features of the mimetic finite distinction process for a large category of multidimensional elliptic difficulties, along with diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending difficulties. the fashionable mimetic discretization expertise constructed partly by way of the Authors permits one to resolve those equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The ebook offers a pragmatic advisor for these scientists and engineers which are attracted to the computational homes of the mimetic finite distinction procedure 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 fundamental history fabric and describes uncomplicated mathematical instruments required to advance additional the mimetic discretization expertise and to increase it to numerous functions.

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