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Markus Berndt, Konstantin Lipnikov, J. David Moulton and Mikhail Shashkov, "Convergence of mimetic finite difference discretizations", East-West Journal of Numerical Mathematics, vol. 9, no. 4, pp. 265--284, 2001
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Abstract

Error estimates for the support operator method are derived. The main result is that the support operator method is at least as accurate as the lower order Raviart-Thomas finite element method. The theoretical estimates are justified by numerical experiments.

BibTeX Entry

@article{berndt-2001-mimetic,
author = {Markus Berndt and Konstantin Lipnikov and J. David Moulton and Mikhail Shashkov},
title = {Convergence of mimetic finite difference discretizations},
year = {2001},
urlps = {http://math.lanl.gov/~berndt/Papers/mixedSO.ps},
journal = {East-West Journal of Numerical Mathematics},
volume = {9},
number = {4},
pages = {265--284}
}