@Article{IJNAM-9-149,
author = {A. Cheng, Y. Ren and K. Xi},
title = {An Error Estimate for MMOC-MFEM Based on Convolution for Porous Media Flow},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {1},
pages = {149--168},
abstract = {<p style="text-align: justify;">A modification of the modified method of characteristics (MMOC)
is introduced for solving the coupled system of partial differential equations
governing miscible displacement in porous media . The pressure-velocity is approximated
by a mixed finite element procedure using a Raviart-Thomas space
of index $k$ over a uniform grid. The resulting Darcy velocity is post-processed
by convolution with Bramble-Schatz kernel and this enhanced velocity is used
in the evaluation of the coefficients in MMOC for the concentration equation.
If the concentration space is of local degree $l$, then, the error in the concentration
is $O(h^{l+1}_c+h^{2k+2}_p)$, which reflects the superconvergence of velocity
approximation.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/617.html}
}