On low order mimetic finite difference methods

Andrea Cangiani

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arXiv · 1208.4213

On low order mimetic finite difference methods

Andrea Cangiani

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Abstract

These pages review two families of mimetic finite difference methods: the mixed-type methods presented in [Brezzi, Lipnikov, and Simoncini, M3AS, 2005] and the nodal methods of [Brezzi, Buffa, and Lipnikov, M2AN, 2009]. The purpose of this exercise it to highlight the similitudes underlying the construction of the two families. The comparison prompts the definition of a piecewise linear postprocessing of the nodal mimetic finite difference solution, as it was done for the mixed-type method in [Cangiani and Manzini, CMAME, 2008].

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Andrea Cangiani. 2012-08-21. On low order mimetic finite difference methods. https://arxiv.org/abs/1208.4213

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