Incomplete augmented Lagrangian preconditioner for steady incompressible Navier-Stokes equations.
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.
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China ; Department of Information and Computational Science, Chengdu Technological University, Chengdu, Sichuan 611730, China.
Ning-Bo
NB
Tan
Ting-Zhu
TZ
Huang
Ze-Jun
ZJ
Hu
D016014:Linear Models; D008433:Mathematics / Q000379:methods*; D014783:Viscosity