A low-rank update for relaxed Schur complement preconditioners in fluid flow problems
From MaRDI portal
Publication:6141527
DOI10.1007/s11075-023-01548-3OpenAlexW4382628829MaRDI QIDQ6141527
Jörn Behrens, Sabine Le Borne, Rebekka S. Beddig
Publication date: 19 December 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-023-01548-3
Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Numerical analysis (65-XX) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
Cites Work
- Unnamed Item
- Unnamed Item
- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems
- Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows
- The \textsc{deal.II} finite element library: design, features, and insights
- An efficient and modular grad-div stabilization
- Domain decomposition based preconditioner combined local low-rank approximation with global corrections
- The \texttt{deal.II} library, version 9.4
- A Note on Preconditioning Nonsymmetric Matrices
- Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements
- Finite Elements and Fast Iterative Solvers
- ℋ︁-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems
- Numerical solution of saddle point problems
- An overview of the Trilinos project
- Preconditioned Nullspace Method for the Two-Dimensional Oseen Problem
- A Note on Preconditioning for Indefinite Linear Systems
- A Preconditioner for the Steady-State Navier--Stokes Equations
- A Power Schur Complement Low-Rank Correction Preconditioner for General Sparse Linear Systems
- Two-Level Nyström--Schur Preconditioner for Sparse Symmetric Positive Definite Matrices
- Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations
- Block Preconditioners Based on Approximate Commutators
- Randomized numerical linear algebra: Foundations and algorithms
