@Article{IJNAM-2-301,
author = {R. E. Ewing, Y. Lin, J. Wang and S. Zhang},
title = {$L^∞$-Error Estimates and Superconvergence in Maximum Norm of Mixed Finite Element Methods for NonFickian Flows in Porous Media},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2005},
volume = {2},
number = {3},
pages = {301--328},
abstract = {<p style="text-align: justify;">On the basis of the estimates for the regularized Green&#39;s
functions with memory terms, optimal order $L^∞$-error estimates
are established for the nonFickian flow of fluid in porous media by
means of a mixed Ritz-Volterra projection. Moreover, local $L^∞$-superconvergence estimates for the velocity along the Gauss
lines and for the pressure at the Gauss points are derived for the mixed
finite element method, and global $L^∞$-superconvergence estimates
for the velocity and the pressure are also investigated by virtue of an
interpolation post-processing technique. Meanwhile, some useful
a-posteriori error estimators are presented for this mixed finite
element method.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/933.html}
}