LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations

Numerical Analysis and Scientific Computing Preprint Seria LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations

Numerical Analysis and Scientific Computing Preprint Seria ILU preconditioners for non-symmetric saddle point matrices with application to the incompressible Navier-Stokes equations

Motivated by the numerical solution of the linearized incompressible Navier–Stokes equations, we study threshold incomplete LU factorizations for non-symmetric saddle point matrices. The resulting preconditioners are used to accelerate the convergence of a Krylov subspace method applied to finite element discretizations of fluid dynamics problems in three space dimensions. The paper presents an...

ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier-Stokes Equations

Motivated by the numerical solution of the linearized incompressible Navier–Stokes equations, we study threshold incomplete LU factorizations for nonsymmetric saddle-point matrices. The resulting preconditioners are used to accelerate the convergence of a Krylov subspace method applied to finite element discretizations of fluid dynamics problems in three space dimensions. The paper presents and...

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations

This paper introduces two stabilization schemes for the Least Squares Commutator (LSC) preconditioner developed by Elman, Howle, Shadid, Shuttleworth and Tuminaro [SIAM J. Sci. Comput., 27, 2006, pp. 1651–1668] for the incompressible Navier-Stokes equations. This preconditioning methodology is one of several choices that are effective for Navier-Stokes equations, and it has the advantage of bei...

EVIEW A RTICLE Preconditioners for Incompressible Navier - Stokes Solvers †

In this paper we give an overview of the present state of fast solvers for the solution of the incompressible Navier-Stokes equations discretized by the finite element method and linearized by Newton or Picard’s method. It is shown that block preconditioners form an excellent approach for the solution, however if the grids are not to fine preconditioning with a Saddle point ILU matrix (SILU) ma...