First-order System Least Squares for the Navier-stokes Equations
نویسنده
چکیده
This paper develops a least-squares approach to the solution of the incompressible Navier-Stokes equations in primitive variables. As with our earlier work on Stokes equations, we recast the Navier-Stokes equations as a first-order system by introducing a velocity flux variable and associated curl and trace equations. We show that the resulting system is well-posed, and that an associated least-squares principle yields optimal discretization error estimates in theH1 norm in each variable (including the velocity flux) and optimal multigrid convergence estimates for the resulting algebraic system.
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