By Lourenco Beirao da Veiga, Konstantin Lipnikov, Gianmarco Manzini
This e-book describes the theoretical and computational features of the mimetic finite distinction procedure for a large classification of multidimensional elliptic difficulties, inclusive of diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending difficulties. the trendy mimetic discretization expertise built partially through the Authors permits one to unravel those equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The publication presents a realistic advisor for these scientists and engineers which are attracted to the computational homes of the mimetic finite distinction process akin to the accuracy, balance, robustness, and potency. Many examples are supplied to assist the reader to appreciate and enforce this technique. This monograph additionally presents the basic historical past fabric and describes uncomplicated mathematical instruments required to strengthen extra the mimetic discretization expertise and to increase it to numerous functions.
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