@Article{IJNAM-10-481,
author = {S. Bajpai, N. Nataraj and A. Pani},
title = {On Fully Discrete Finite Element Schemes for Equations of Motion of Kelvin-Voigt Fluids},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {2},
pages = {481--507},
abstract = {<p style="text-align: justify;">In this paper, we study two fully discrete schemes for the equations of motion arising
in the Kelvin-Voigt model of viscoelastic fluids. Based on a backward Euler method in time and a
finite element method in spatial direction, optimal error estimates which exhibit the exponential
decay property in time are derived. In the later part of this article, a second order two step
backward difference scheme is applied for temporal discretization and again exponential decay in
time for the discrete solution is discussed. Finally, a priori error estimates are derived and results
on numerical experiments conforming theoretical results are established.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/579.html}
}