@Article{AAMM-13-2,
author = {Yang, Yang and Yanfang, Lei and Zhiyong, Si},
title = {Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {2},
pages = {311--332},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0169},
url = {https://global-sci.com/article/72969/unconditional-stability-and-error-estimates-of-the-modified-characteristics-fem-for-the-time-dependent-viscoelastic-oldroyd-flows}
}