%0 Journal Article
%T A Two-level Finite Element Method for Viscoelastic Fluid Flow: Non-smooth Initial Data
%A Deepjyoti Goswami
%J Mathematics
%D 2012
%I arXiv
%X In this article, we analyze a two-level finite element method for the equations of motion arising in the flow of 2D Oldroyd model with non-smooth initial data. It involves solving the non-linear problem on a coarse grid of mesh-size $H$ and solving a linearized problem on a fine grid of mesh-size $h, h<<H$. The method gives optimal convergence rate for velocity in $H^1$-norm and for pressure in $L^2$-norm. The analysis takes in to account the loss of regularity of the solution of the Oldroyd model at initial time.
%U http://arxiv.org/abs/1211.5352v1