@Article{IJNAM-9-1,
author = {},
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/2012-IJNAM-617},
url = {https://global-sci.com/article/83458/an-error-estimate-for-mmoc-mfem-based-on-convolution-for-porous-media-flow}
}