Computer Methods in Applied Mechanics and Engineering
Stabilized finite element methods. II: The incompressible Navier-Stokes equations
Computer Methods in Applied Mechanics and Engineering
Efficient preconditioning of the linearized Navier—Stokes equations for incompressible flow
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
On Block Preconditioners for Nonsymmetric Saddle Point Problems
SIAM Journal on Scientific Computing
A Preconditioner for the Steady-State Navier--Stokes Equations
SIAM Journal on Scientific Computing
Preconditioners for saddle point problems arising in computational fluid dynamics
Applied Numerical Mathematics
Analysis of Preconditioners for Saddle-Point Problems
SIAM Journal on Scientific Computing
Preconditioners for Generalized Saddle-Point Problems
SIAM Journal on Numerical Analysis
Journal of Computational and Applied Mathematics
| Hi-index | 7.29 |
If the stationary Navier-Stokes system or an implicit time discretization of the evolutionary Navier-Stokes system is linearized by a Picard iteration and discretized in space by a mixed finite element method, there arises a saddle point system which may be solved by a Krylov subspace method or an Uzawa type approach. For each of these resolution methods, it is necessary to precondition the Schur complement associated to the saddle point problem in question. In the work at hand, we give upper and lower bounds of the eigenvalues of this Schur complement under the assumption that it is preconditioned by a pressure convection-diffusion matrix.