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A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cnm.1640090307openalex-snapshot
Balancing domain decomposition
inferredcites →https://doi.org/10.1002/cpa.10020openalex-snapshot
Balancing Neumann‐Neumann methods for incompressible Stokes equations
inferredcites →https://doi.org/10.1002/cpa.3160480203openalex-snapshot
Schwarz methods of neumann‐neumann type for three‐dimensional elliptic finite element problems
inferredcites →https://doi.org/10.1007/bf01385875openalex-snapshot
�ber eine Verallgemeinerung einer Ungleichung von L. V. Kantorowitsch
inferredcites →https://doi.org/10.1007/bf01389450openalex-snapshot
The rate of convergence of Conjugate Gradients
inferredcites →https://doi.org/10.1007/bf02355371openalex-snapshot
Twofold deflation preconditioning of linear algebraic systems. I. Theory
inferredcites →https://doi.org/10.1016/0377-0427(88)90358-5openalex-snapshot
Preconditioned conjugate gradients for solving singular systems
inferredcites →https://doi.org/10.1017/cbo9780511624100openalex-snapshot
Iterative Solution Methods
inferredcites →https://doi.org/10.1090/conm/157/01411openalex-snapshot
Hybrid domain decomposition with unstructured subdomains
inferredcites →https://doi.org/10.1090/s0025-5718-1966-0234618-4openalex-snapshot
Estimates for Some Computational Techniques in Linear Algebra
inferredcites →https://doi.org/10.1090/s0025-5718-1986-0842125-3openalex-snapshot
The Construction of Preconditioners for Elliptic Problems by Substructuring. I
inferredcites →https://doi.org/10.1090/s0025-5718-96-00757-0openalex-snapshot
Balancing domain decomposition for problems with large jumps in coefficients
inferredcites →https://doi.org/10.1093/imamat/20.1.61openalex-snapshot
Influence of the Eigenvalue Spectrum on the Convergence Rate of the Conjugate Gradient Method
inferredcites →https://doi.org/10.1093/oso/9780198501787.001.0001openalex-snapshot
Domain Decomposition Methods for Partial Differential Equations
inferredcites →https://doi.org/10.1137/040608246openalex-snapshot
A Comparison of Deflation and the Balancing Preconditioner
inferredcites →https://doi.org/10.1137/0724027openalex-snapshot
Deflation of Conjugate Gradients with Applications to Boundary Value Problems
inferredcites →https://doi.org/10.1137/s0036142903430451openalex-snapshot
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow
inferredcites →https://doi.org/10.1137/s0895479893253975openalex-snapshot
A Restarted GMRES Method Augmented with Eigenvectors
inferredcites →https://doi.org/10.1137/s0895479899356754openalex-snapshot
Generalized Augmented Matrix Preconditioning Approach and its Application to Iterative Solution of Ill-Conditioned Algebraic Systems
inferredcites →https://doi.org/10.1137/s1064829598339761openalex-snapshot
A Deflated Version of the Conjugate Gradient Algorithm
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/num.20254openalex-snapshot
Robust domain decomposition algorithms for multiscale PDEs
inferred← citeshttps://doi.org/10.1007/978-3-642-02677-5_16openalex-snapshot
A Domain Decomposition Preconditioner of Neumann-Neumann Type for the Stokes Equations
inferred← citeshttps://doi.org/10.1007/s10665-023-10322-2openalex-snapshot
Deflated domain decomposition method for structural problems
inferred← citeshttps://doi.org/10.1007/s10915-009-9272-6openalex-snapshot
Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods
inferred← citeshttps://doi.org/10.1007/s10915-015-0029-0openalex-snapshot
A Spectral Analysis of Subspace Enhanced Preconditioners
inferred← citeshttps://doi.org/10.1007/s13160-025-00703-8openalex-snapshot
Deflated domain decomposition method: algorithm and its application to analysis of reinforced concrete building
inferred← citeshttps://doi.org/10.1016/j.apnum.2012.12.001openalex-snapshot
Further comparison of additive and multiplicative coarse grid correction
inferred← citeshttps://doi.org/10.1016/j.apnum.2019.01.016openalex-snapshot
Parallel two-level space–time hybrid Schwarz method for solving linear parabolic equations
inferred← citeshttps://doi.org/10.1016/j.cma.2014.10.049openalex-snapshot
Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems
inferred← citeshttps://doi.org/10.1016/j.compstruc.2017.03.003openalex-snapshot
Rigid body modes deflation of the Preconditioned Conjugate Gradient in the solution of discretized structural problems
inferred← citeshttps://doi.org/10.1016/j.laa.2015.09.056openalex-snapshot
Deflation and projection methods applied to symmetric positive semi-definite systems
inferred← citeshttps://doi.org/10.1016/j.laa.2016.05.025openalex-snapshot
Avoiding singular coarse grid systems
inferred← citeshttps://doi.org/10.1016/j.laa.2025.02.022openalex-snapshot
Improved error bounds for the deflated multi-preconditioned CG method
inferred← citeshttps://doi.org/10.1137/080716281openalex-snapshot
Shift-Invert Arnoldi's Method with Preconditioned Iterative Solves
inferred← citeshttps://doi.org/10.1137/100811118openalex-snapshot
Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results
inferred← citeshttps://doi.org/10.1137/110820713openalex-snapshot
A Framework for Deflated and Augmented Krylov Subspace Methods
inferred← citeshttps://doi.org/10.1137/130923087openalex-snapshot
Deflated and Augmented Krylov Subspace Methods: A Framework for Deflated BiCG and Related Solvers
inferred← citeshttps://doi.org/10.1137/21m139548xopenalex-snapshot
Two-Level Nyström--Schur Preconditioner for Sparse Symmetric Positive Definite Matrices
inferred← citeshttps://doi.org/10.14279/depositonce-4147openalex-snapshot
Recycling Krylov subspace methods for sequences of linear systems
inferred← citeshttps://doi.org/10.14279/depositonce-6543openalex-snapshot
A framework for deflated and augmented Krylov subspace methods
inferred← citeshttps://doi.org/10.4203/csets.31.11openalex-snapshot
Deflation and Augmentation Techniques in Krylov Subspace Methods for the Solution of Linear Systems
inferred← citeshttps://doi.org/10.4208/jcm.1401-m4145openalex-snapshot
Numerical Studies of a Class of Composite Preconditioners
inferred← citeshttps://doi.org/10.4208/nmtma.2015.w04siopenalex-snapshot
Algebraic Theory of Two-Grid Methods
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