@Article{IJNAM-14-571,
author = {Samir Karaa and Amiya K. Pani},
title = {A Posteriori Error Estimates for Mixed Finite Element Galerkin Approximations to Second Order Linear Hyperbolic Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {4-5},
pages = {571--590},
abstract = {<p style="text-align: justify;">In this article, a posteriori error analysis for mixed finite element Galerkin approximations
of second order linear hyperbolic equations is discussed. Based on mixed elliptic reconstructions
and an integration tool, which is a variation of Baker&#39;s technique introduced earlier by
G. Baker (SIAM J. Numer. Anal., 13 (1976), 564-576) in the context of a priori estimates for
a second order wave equation, a posteriori error estimates of the displacement in $L^∞(L^2)$-norm
for the semidiscrete scheme are derived. Finally, a first order implicit-in-time discrete scheme is
analyzed and a posteriori error estimators are established.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10050.html}
}