Pani, Amiya K. ; Yuan, Jin Yun ; Damázio, Pedro D. (2006) On a linearized backward Euler method for the equations of motion of Oldroyd fluids of order one SIAM Journal on Numerical Analysis, 44 (2). pp. 804-825. ISSN 0036-1429
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Official URL: http://epubs.siam.org/sinum/resource/1/sjnaam/v44/...
Related URL: http://dx.doi.org/10.1137/S0036142903428967
Abstract
In this paper, a linearized backward Euler method is discussed for the equations of motion arising in the Oldroyd model of viscoelastic fluids. Some new a priori bounds are obtained for the solution under realistically assumed conditions on the data. Further, the exponential decay properties for the exact as well as the discrete solutions are established. Finally, a priori error estimates in H1 and L2-norms are derived for the the discrete problem which are valid uniformly for all time t > 0.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Society for Industrial and Applied Mathematics. |
| Keywords: | Viscoelastic Fluids; Oldroyd Model; A Priori Bounds; Exponential Decay; Linearized Backward Euler Method; Uniform Convergence in Time |
| ID Code: | 81955 |
| Deposited On: | 09 Feb 2012 04:46 |
| Last Modified: | 09 Feb 2012 04:46 |
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