Bajpai, S. ; Nataraj, N. (2014) On a two-grid finite element scheme combined with Crank–Nicolson method for the equations of motion arising in the Kelvin–Voigt model Computers & Mathematics with Applications, 68 (12). pp. 2277-2291. ISSN 0898-1221
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Official URL: http://doi.org/10.1016/j.camwa.2014.07.011
Related URL: http://dx.doi.org/10.1016/j.camwa.2014.07.011
Abstract
In this paper, we present a second order accurate Crank–Nicolson scheme applied to a system arising from Galerkin finite element two-grid approximations to the equations of motion described by the Kelvin–Voigt viscoelastic fluid flow model. Optimal error estimates in L∞(L2)-norm and L∞ (H1) -norm for velocity and L∞(L2) -norm for pressure are established. These estimates are shown to be uniform in time. Numerical results are provided to verify the theoretical estimates.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 122917 |
| Deposited On: | 26 Aug 2021 08:04 |
| Last Modified: | 26 Aug 2021 08:04 |
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