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Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows

Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows
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Year:    2021

Author:    Yang Yang, Yanfang Lei, Zhiyong Si

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 311–332

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2018-0169

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 311–332

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Unconditional stability optimal error estimates modified characteristics finite element method time-dependent viscoelastic Oldroyd flows.

Author Details

Yang Yang

Yanfang Lei

Zhiyong Si

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