@Article{CMR-31-1,
author = {Guo , Hui and Fu , Hongfei},
title = {A Split Least-Squares Characteristic Procedure for Convection-Dominated Parabolic Integro-Differential Equations},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {31},
number = {1},
pages = {1--14},
abstract = {<p style="text-align: justify;">In this paper, we combine a split least-squares procedure with the method
of characteristics to treat convection-dominated parabolic integro-differential equations. By selecting the least-squares functional properly, the procedure can be split
into two independent sub-procedures, one of which is for the primitive unknown and
the other is for the flux. Choosing projections carefully, we get optimal order $H^1
(Ω)$ and $L^2
(Ω)$ norm error estimates for $u$ and sub-optimal $(L^2
(Ω))^d$ norm error estimate
for $σ$. Numerical results are presented to substantiate the validity of the theoretical
results.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2015.01.01},
url = {http://global-sci.org/intro/article_detail/cmr/18942.html}
}