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- Title
Semidiscrete finite element Galerkin approximations to the equations of motion arising in the Oldroyd model.
- Authors
Pani, Amiya K.; Yuan, Jin Yun
- 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.
- Subjects
FINITE element method; GALERKIN methods; EQUATIONS of motion; VISCOELASTIC materials; NUMERICAL analysis; MATHEMATICAL analysis
- Publication
IMA Journal of Numerical Analysis, 2005, Vol 25, Issue 4, p750
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/dri016