On low order mimetic finite difference methods
Numerical Analysis
2012-08-22 v1
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].
Cite
@article{arxiv.1208.4213,
title = {On low order mimetic finite difference methods},
author = {Andrea Cangiani},
journal= {arXiv preprint arXiv:1208.4213},
year = {2012}
}