ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier--Stokes Equations
DOI10.1137/15M1012311zbMath1326.76061OpenAlexW1757326238MaRDI QIDQ2947051
I. N. Kon'shin, Maxim A. Olshanskii, Yuri V. Vassilevski
Publication date: 21 September 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1012311
Navier-Stokes equationsfinite element methodpreconditioningiterative methodshaemodynamicsthreshold ILU factorization
Computational methods for sparse matrices (65F50) Navier-Stokes equations for incompressible viscous fluids (76D05) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations
- Finite element approximation of the Navier-Stokes equations
- The rate of convergence of Sinkhorn balancing
- A new preconditioning technique for solving large sparse linear systems
- Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations
- Unsymmetric positive definite linear systems
- Efficient solvers for incompressible flow problems. An algorithmic and computational approach
- The generalized Cholesky factorization method for saddle point problems
- Scaling by binormalization
- Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations
- Preconditioning techniques for large linear systems: A survey
- A class of constraint preconditioners for nonsymmetric saddle point matrices
- Finite Elements and Fast Iterative Solvers
- Iterative Methods for Linear Systems
- Conforming and divergence-free Stokes elements in three dimensions
- Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations
- Preconditioners for Incompressible Navier-Stokes Solvers
- SIMPLE-type preconditioners for the Oseen problem
- Numerical solution of saddle point problems
- A comparison of preconditioners for incompressible Navier-Stokes solvers
- Pressure Schur Complement Preconditioners for the Discrete Oseen Problem
- A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration
- Symmetric Permutations for I-matrices to Delay and Avoid Small Pivots During Factorization
- An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2D and 3D Navier-Stokes equations
- Résumé and remarks on the open boundary condition minisymposium
- Exact fully 3D Navier–Stokes solutions for benchmarking
- Grad-div stablilization for Stokes equations
- A robust incomplete factorization based on value and space constraints
- Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations
- On equilibration and sparse factorization of matrices arising in finite element solutions of partial differential equations
- On Signed Incomplete Cholesky Factorization Preconditioners for Saddle-Point Systems
- Scaling, reordering, and diagonal pivoting in ILU preconditionings
- AMGe---Coarsening Strategies and Application to the Oseen Equations