TY - JOUR
T1 - Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows
AU - Yang , Yang
AU - Lei , Yanfang
AU - Si , Zhiyong
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 311
EP - 332
PY - 2020
DA - 2020/12
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2018-0169
UR - https://global-sci.org/intro/article_detail/aamm/18486.html
KW - Unconditional stability,  optimal error estimates, modified characteristics finite element method, time-dependent viscoelastic Oldroyd flows.
AB - <p style="text-align: justify;">In this paper, our purpose is to study the unconditional stability and convergence of characteristics finite element method (FEM) for the time-dependent viscoelastic Oldroyd fluids motion equations. We deduce optimal error estimates in $L^2$ and $H^1$ norm. The analysis is based on an iterated time-discrete system, with which the error function is split into a temporal error and a spatial error. Finally, numerical results confirm the theoretical predictions.</p>