Low-rank improvements of two-level grid preconditioned matrices

DOI10.1016/j.cam.2017.09.027zbMath1432.65034OpenAlexW2763675956MaRDI QIDQ1636787

Radim Blaheta, Owe Axelsson

Publication date: 12 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.027

zbMATH Keywords

low-rank correctionapproximate Schur complement inverseparallelizable methodstwo-level grids

Mathematics Subject Classification ID

Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (2)

A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations ⋮ A new version of a preconditioning method for certain two-by-two block matrices with square blocks

Cites Work

• Unnamed Item
• Identification problems with given material interfaces
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
• An additive subspace preconditioning method for the iterative solution of some problems with extreme contrasts in coefficients
• Two simple derivations of universal bounds for the CBS inequality constant.
• Algebraic multilevel preconditioning methods. I
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
• Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
• Generalized Augmented Matrix Preconditioning Approach and its Application to Iterative Solution of Ill-Conditioned Algebraic Systems
• An Algebraic Multilevel Preconditioner with Low-Rank Corrections for Sparse Symmetric Matrices
• An Algebraic Multigrid Method with Guaranteed Convergence Rate
• Schur complement-based domain decomposition preconditioners with low-rank corrections
• Numerical Methods for Large Eigenvalue Problems
• Algebraic multilevel preconditioning of finite element matrices using local Schur complements
• A Low-Rank in Time Approach to PDE-Constrained Optimization
• Multilevel Block Factorization Preconditioners
• Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
• Factorized Sparse Approximate Inverse Preconditionings I. Theory
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods
• Iterative Solution Methods
• Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
• Algebraic multilevel iteration method for Stieltjes matrices
• Efficient Structured Multifrontal Factorization for General Large Sparse Matrices
• Low-Rank Correction Methods for Algebraic Domain Decomposition Preconditioners

This page was built for publication: Low-rank improvements of two-level grid preconditioned matrices