In this paper, a fully discrete finite element penalty method is presented for the two-dimensional viscoelastic flow problem arising in the Oldroyd model, in ...

In this paper, we investigate the two-dimensional viscoelastic fluid motion problem arising in the Oldroyd model. By applying the dual method, the Helmholtz ...

In this paper, a fully discrete finite element penalty method is presented for the two-dimensional viscoelastic flow problem arising in the Oldroyd model, ...

In this paper, we investigate the two-dimensional viscoelastic fluid motion problem arising in the Oldroyd model. By applying the dual method, the Helmholtz ...

Kun Wang, Yinnian He, Xinlong Feng : On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Int. J. Comput. Math.

By applying the dual method, the Helmholtz decomposition and some other techniques, we deduce the long-time optimal error estimates for its penalty method.

Optimal error estimates for the penalized system and its time discretizations for the unsteady Navier–Stokes equations are derived.

In this paper, a fully discrete finite element penalty method is considered for the two-dimensional linearized viscoelastic fluid motion equations, ...

It is shown that optimal error estimates are obtained for the penalty system and the time discretization under reasonable assumptions on the physical data.

In this paper, we discuss the backward Euler method along with its linearized version for the Kelvin-Voigt viscoelastic fluid flow model with non zero forcing ...