Finite element approximation for the viscoelastic fluid motion problem

摘要

In this article, the variational formulation of the two-dimensional viscoelastic fluid motion problem and its finite element approximation are considered. An local error estimate for the velocity with H1-norm and the pressure with L2-norm is obtained; and a uniform error estimate for the velocity and pressure with the above norms is provided if the given data satisfies the uniqueness condition.