@Article{IJNAM-9-607,
author = {M. Wheeler, G. Xue and I. Yotov},
title = {Local Velocity Postprocessing for Multipoint Flux Methods on General Hexahedra},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {3},
pages = {607--627},
abstract = {<p style="text-align: justify;">The authors formulated in [32] a multipoint flux mixed finite
element method that reduces to a cell-centered pressure system on general
quadrilaterals and hexahedra for elliptic equations arising in subsurface flow
problems. In addition they showed that a special quadrature rule yields $\mathcal{O}(h)$ convergence for face fluxes on distorted hexahedra. Here a first order local
velocity postprocessing procedure using these face fluxes is developed and analyzed.
The algorithm involves solving a 3$\times$3 system on each element and
utilizes an enhanced mixed finite element space introduced by Falk, Gatto, and
Monk [18]. Computational results verifying the theory are demonstrated.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/649.html}
}