Gradient discretisation method: Difference between revisions

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=== Mimetic finite difference method and nodal mimetic finite difference method ===

This family of methods is introduced by [Brezzi ''et al'']<ref>'''F. Brezzi, K. Lipnikov, and M. Shashkov.''' Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. SIAM J. Numer. Anal., 43(5):1872–1896, 2005.</ref> and completed in [Lipnikov ''et al''].<ref>'''K. Lipnikov, G. Manzini, and M. ShaskovShashkov.''' Mimetic finite difference method. J. Comput. Phys., 257-Part B:1163–1227, 2014.</ref> It allows the approximation of elliptic problems using a large class of polyhedral meshes. The proof that it enters the GDM framework is done in [Droniou ''et al''].<ref name=droniou />

==See also==