Incomplete Augmented Lagrangian Preconditioner for Steady Incompressible Navier-Stokes Equations

Abstract EN

An incomplete augmented Lagrangian preconditioner, for the steady incompressible Navier-Stokes equations discretized by stable finite elements, is proposed.

The eigenvalues of the preconditioned matrix are analyzed.

Numerical experiments show that the incomplete augmented Lagrangian-based preconditioner proposed is very robust and performs quite well by the Picard linearization or the Newton linearization over a wide range of values of the viscosity on both uniform and stretched grids.