%0 Journal Article
%T Least-Squares Finite Element Method for the Steady Upper-Convected Maxwell Fluid
%A Shaoling Zhou
%A Lei Hou
%J Advances in Pure Mathematics
%P 233-239
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.55024
%X In this paper, a least-squares finite element method for the
upper-convected Maxell (UCM) fluid is proposed. We first linearize the
constitutive and momentum equations and then apply a least-squares method to
the linearized version of the viscoelastic UCM model. The L2 least-squares functional involves the residuals of
each equation multiplied by proper weights. The corresponding homogeneous
functional is equivalent to a natural norm. The error estimates of the finite
element solution are analyzed when the conforming piecewise polynomial elements
are used for the unknowns.
%K Upper-Convected Maxwell Fluid
%K Least-Squares Finite Element Method
%K Viscoelastic Fluid Model
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=55358