TY - JOUR
T1 - A Stabilized Characteristic Finite Element Method for the Viscoelastic Oldroyd  Fluid Motion Problem
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 617
EP - 635
PY - 2015
DA - 2015/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/504.html
KW - viscoelastic Oldroyd fluid motion problem, characteristic scheme, stabilized method, stability, error estimate.
AB - <p style="text-align: justify;">In this article, a characteristic scheme is considered for the viscoelastic Oldroyd fluid
flows based on the lowest equal-order finite element pair. The diffusion term in these equations is
discretized by using finite element method, the temporal differentiation and advection terms are
treated by characteristic scheme and the integral term is handled by applying right rectangle rule.
Unconditionally stability and optimal error estimates for the velocity and pressure are derived.
Finally, some numerical results are provided to verify the performance of the proposed method.</p>