A reduced Galerkin least-squares method for the Oldroyd-B model

We consider a reduced Galerkin least-squares finite element method
for the Oldroyd-B model of viscoelastic fluid flows. Model problems
considered are the flow past a planar channel and a 4-to-1 contraction
problems. An a priori error estimate for the reduced Galerkin
least-squares method is derived and numerical results supporting the
estimate are presented.