We compare three least-squares finite element reformulations of the Stokes equations,
paying particular attention to mass conservation. The first problem we approximate has a …

This paper studies a nonlinear weighted least-squares finite element method for the steady
Oldroyd-B viscoelastic flow. Our least-squares functional involves the L2-norm of the …

This paper focuses on the least-squares finite element method and its three variants for
obtaining efficient numerical solutions to convection-dominated convection–diffusion …

A least-squares spectral collocation formulation for the Navier–Stokes problem is presented.
By this new approach the well known Babušska–Brezzi condition can be avoided. Here we …

We present and analyze a first order least squares method for convection dominated
diffusion problems, which provides robust L 2 a priori error estimate for the scalar variable …

The Navier–Stokes equations for flow in a plane are reformulated as a first-order system in
terms of stress and stream functions. Solutions of this system are obtained by the least …

This paper provides a new strict mathematical analysis for the velocity-pressure-vorticity
least-squares methods (ie, the standard linear element method and the Bochev …

In this paper, we study the L2 least-squares finite element approximations to the Oseen
problem for the stationary incompressible Navier–Stokes equations with the velocity …

The least-squares finite element method (LSFEM) has drawn much attention with desirable
properties, such as always symmetric positive-definite stiffness matrix and approximation of …

We implemented weighted least-squares finite element methods for the linearized Navier-
Stokes equations based on the velocity–pressure–stress and the velocity–vorticity–pressure …