%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