Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems

@article{Cai2004LeastSquaresMF,
  title={Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems},
  author={Zhiqiang Cai and Barry Lee and Ping Wang},
  journal={SIAM J. Numerical Analysis},
  year={2004},
  volume={42},
  pages={843-859}
}
This paper develops and analyzes two least-squares methods for the numerical solution of linear, stationary incompressible Newtonian fluid flow in two and three dimensions. Both approaches use the L norm to define least-squares functionals. One is based on the stress-velocity formulation (see section 3.2), and it applies to general boundary conditions. The other is based on an equivalent formulation for the pseudo-stress and velocity (see section 4.2), and applies to pure velocity Dirichlet… CONTINUE READING