By Lourenco Beirao da Veiga, Konstantin Lipnikov, Gianmarco Manzini

This booklet describes the theoretical and computational elements of the mimetic finite distinction procedure for a large category 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 unravel those equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The e-book presents a pragmatic consultant for these scientists and engineers which are attracted to the computational homes of the mimetic finite distinction process resembling the accuracy, balance, robustness, and potency. Many examples are supplied to aid the reader to appreciate and enforce this technique. This monograph additionally presents the fundamental historical past fabric and describes uncomplicated mathematical instruments required to increase additional the mimetic discretization know-how and to increase it to numerous purposes.

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