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Cai, Z., Manteuffel, T.A. and McCormich, S.F. (1995) First-Order System Least Squares for Velocity-Vorticity-Pres- sure from of the Stokes Equations, with Application to Linear Elasticity. Electronic Transactions on Numerical Analysis, 3, 150-159.

has been cited by the following article:

• TITLE: Least-Squares Finite Element Method for the Steady Upper-Convected Maxwell Fluid

  AUTHORS: Shaoling Zhou, Lei Hou

  KEYWORDS: Upper-Convected Maxwell Fluid, Least-Squares Finite Element Method, Viscoelastic Fluid Model

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.5, April 3, 2015

  ABSTRACT: 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.