Pani, Amiya K. ; Yuan, Jin Yun (2005) Semidiscrete finite element Galerkin approximations to the equations of motion arising in the Oldroyd model IMA Journal of Numerical Analysis, 25 (4). pp. 750-782. ISSN 0272-4979
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Official URL: http://imajna.oxfordjournals.org/content/25/4/750....
Related URL: http://dx.doi.org/10.1093/imanum/dri016
Abstract
In this paper, a semidiscrete finite element Galerkin method for the equations of motion arising in the 2D Oldroyd model of viscoelastic fluids with zero forcing function is analysed. Some new a priori bounds for the exact solutions are derived under realistically assumed conditions on the data. Moreover, the long-time behaviour of the solution is established. By introducing a Stokes-Volterra projection, optimal error bounds for the velocity in the L∞(L2) as well as in the L∞(H1)-norms and for the pressure in the L∞(L2)-norm are derived which are valid uniformly in time t > 0.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Oxford University Press. |
| ID Code: | 81957 |
| Deposited On: | 09 Feb 2012 04:45 |
| Last Modified: | 09 Feb 2012 04:45 |
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