Year: 2013
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 2 : pp. 481–507
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-IJNAM-579
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 2 : pp. 481–507
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Viscoelastic fluids Kelvin-Voigt model a priori bounds backward Euler method second order backward difference scheme optimal error estimates.