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Cite Details

Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler and Ivan Yotov, "A Mortar Mimetic Finite Difference Method on Non-Matching Grids", Numerische Mathematik, vol. 102, no. 2, pp. 203-230, 2005

Abstract

We consider mimetic finite difference approximations to second order elliptic problems on non-matching multi-block grids. Mortar finite elements are employed on the non-matching interfaces to impose weak continuity of the velocity. Optimal convergence and, for certain cases, superconvergence is established for both the scalar variable and the velocity.

BibTeX Entry

@article{berndt-2005-mortar,
author = {Markus Berndt and Konstantin Lipnikov and Mikhail Shashkov and Mary F. Wheeler and Ivan Yotov},
title = {A Mortar Mimetic Finite Difference Method on Non-Matching Grids},
year = {2005},
urlpdf = {http://math.lanl.gov/~berndt/Papers/mortarmfd.pdf},
urlps = {http://math.lanl.gov/~berndt/Papers/mortarmfd.ps},
journal = {Numerische Mathematik},
volume = {102},
number = {2},
pages = {203-230}
}