TY - JOUR
T1 - On Fully Discrete Finite Element Schemes for Equations of Motion of Kelvin-Voigt Fluids
AU - S. Bajpai, N. Nataraj & A. Pani
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 481
EP - 507
PY - 2013
DA - 2013/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/579.html
KW - Viscoelastic fluids, Kelvin-Voigt model, a priori bounds, backward Euler method, second order backward difference scheme, optimal error estimates.
AB - <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>