@Article{IJNAM-5-47,
author = {Epshteyn , Y. and Rivière , B.},
title = {Convergence of High Order Methods for Miscible Displacement},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {5},
number = {5},
pages = {47--63},
abstract = {<p style="text-align: justify;">We derive error estimates for fully discrete scheme using
primal discontinuous Galerkin discretization in space and backward Euler
discretization in time. The estimates in the energy norm are optimal
with respect to the mesh size and suboptimal with respect to the
polynomial degree. The proposed scheme is of high order as polynomial
approximations of pressure and concentration can take any degree. In
addition, the method can handle different types of boundary conditions
and is well-suited for unstructured meshes.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/839.html}
}