@Article{IJNAM-9-584,
author = {Klausen , R. A. and Stephansen , A. F.},
title = {Convergence of Multi-Point Flux Approximations on General Grids and Media},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {3},
pages = {584--606},
abstract = {<p style="text-align: justify;">The analysis of the Multi Point Flux Approximation (MPFA)
method has so far relied on the possibility of seeing it as a mixed finite element
method for which the convergence is then established. This type of
analysis has been successfully applied to triangles and quadrilaterals, also in
the case of rough meshes. The MPFA method has however much in common
with another well known conservative method: the mimetic finite difference
method. We propose to formulate the MPFA O-method in a mimetic finite
difference framework, in order to extend the proof of convergence to polyhedral
meshes. The formulation is useful to see the close relationship between the two
different methods and to see how the differences lead to different strengths.
We pay special attention to the assumption needed for proving convergence by
examining various cases in the section dedicated to numerical tests.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/648.html}
}