@Article{IJNAM-17-5,
author = {Wenbo, Gong and Zou, Qingsong},
title = {Locally Conservative Finite Element Solutions for Parabolic Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {5},
pages = {679--694},
abstract = {<p style="text-align: justify;">In this paper, we post-process the finite element solutions for parabolic equations to
meet discrete conservation laws in element-level. The post-processing procedure are implemented
by two different approaches: one is by computing a globally continuous flux function and the
other is by computing the so-called finite-volume-element-like solution. Both approaches only
require to solve a small linear system on each element of the underlying mesh. The post-processed
flux converges to the exact flux with optimal convergence rates. Numerical computations verify
our theoretical findings.</p>},
issn = {2617-8710},
doi = {https://doi.org/2020-IJNAM-17876},
url = {https://global-sci.com/article/83038/locally-conservative-finite-element-solutions-for-parabolic-equations}
}