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Algebraic Multilevel Krylov Methods

https://doi.org/10.1137/080731657
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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/nla.435openalex-snapshot
Algebraic multigrid and algebraic multilevel methods: a theoretical comparison
inferredcites →https://doi.org/10.1007/bf02238234openalex-snapshot
Variable steps for reversible integration methods
inferredcites →https://doi.org/10.1007/bf02238488openalex-snapshot
Towards algebraic multigrid for elliptic problems of second order
inferredcites →https://doi.org/10.1007/pl00021413openalex-snapshot
On the Algebraic Construction of Multilevel Transfer Operators
inferredcites →https://doi.org/10.1007/s006070050013openalex-snapshot
An $O(n^2)$ Self-Stabilizing Algorithm for Computing Bridge-Connected Components
inferredcites →https://doi.org/10.1016/0041-5553(62)90031-9openalex-snapshot
A relaxation method for solving elliptic difference equations
inferredcites →https://doi.org/10.1016/0041-5553(64)90253-8openalex-snapshot
The speed of convergence of one iterative process
inferredcites →https://doi.org/10.1016/0041-5553(66)90118-2openalex-snapshot
On the convergence of a relaxation method with natural constraints on the elliptic operator
inferredcites →https://doi.org/10.1016/0096-3003(83)90023-1openalex-snapshot
Algebraic multigrid (AMG): experiences and comparisons
inferredcites →https://doi.org/10.1016/j.apnum.2004.01.009openalex-snapshot
On a class of preconditioners for solving the Helmholtz equation
inferredcites →https://doi.org/10.1016/j.apnum.2005.04.039openalex-snapshot
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0431719-xopenalex-snapshot
Multi-Level Adaptive Solutions to Boundary-Value Problems
inferredcites →https://doi.org/10.1137/040607277openalex-snapshot
Recycling Krylov Subspaces for Sequences of Linear Systems
inferredcites →https://doi.org/10.1137/040608246openalex-snapshot
A Comparison of Deflation and the Balancing Preconditioner
inferredcites →https://doi.org/10.1137/040610271openalex-snapshot
Recycling Subspace Information for Diffuse Optical Tomography
inferredcites →https://doi.org/10.1137/04061129xopenalex-snapshot
Aggregation-Based Algebraic Multilevel Preconditioning
inferredcites →https://doi.org/10.1137/040615195openalex-snapshot
A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
inferredcites →https://doi.org/10.1137/060678257openalex-snapshot
Deflation and Balancing Preconditioners for Krylov Subspace Methods Applied to Nonsymmetric Matrices
inferredcites →https://doi.org/10.1137/070684550openalex-snapshot
Multilevel Projection-Based Nested Krylov Iteration for Boundary Value Problems
inferredcites →https://doi.org/10.1137/0724027openalex-snapshot
Deflation of Conjugate Gradients with Applications to Boundary Value Problems
inferredcites →https://doi.org/10.1137/0914028openalex-snapshot
A Flexible Inner-Outer Preconditioned GMRES Algorithm
inferredcites →https://doi.org/10.1137/s0036142902401074openalex-snapshot
Flexible Inner-Outer Krylov Subspace Methods
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/s1064827500373231openalex-snapshot
On the Construction of Deflation-Based Preconditioners
inferredcites →https://doi.org/10.1137/s1064827501357190openalex-snapshot
A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
inferredcites →https://doi.org/10.1137/s1064827596302825openalex-snapshot
An Evaluation of Parallel Multigrid as a Solver and a Preconditioner for Singularly Perturbed Problems

What points at this work

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

inferred← citeshttps://doi.org/10.1002/nla.1882openalex-snapshot
On the convergence of shifted Laplace preconditioner combined with multilevel deflation
inferred← citeshttps://doi.org/10.1002/nla.1895openalex-snapshot
A new level-dependent coarse grid correction scheme for indefinite Helmholtz problems
inferred← citeshttps://doi.org/10.1002/nla.2108openalex-snapshot
On the convergence of two‐level Krylov methods for singular symmetric systems
inferred← citeshttps://doi.org/10.1007/978-3-319-15260-8_10openalex-snapshot
Algebraic Preconditioning Approaches and Their Applications
inferred← citeshttps://doi.org/10.1007/978-3-319-28832-1_5openalex-snapshot
The Multilevel Krylov-Multigrid Method for the Helmholtz Equation Preconditioned by the Shifted Laplacian
inferred← citeshttps://doi.org/10.1007/978-3-642-33134-3_79openalex-snapshot
Some Experiences with Multilevel Krylov Methods
inferred← citeshttps://doi.org/10.1007/s10915-025-02859-4openalex-snapshot
Absolute-Value Based Preconditioner for Complex-Shifted Laplacian Systems
inferred← citeshttps://doi.org/10.1007/s11227-020-03201-5openalex-snapshot
On the design of two-stage multiprojection methods for distributed memory systems
inferred← citeshttps://doi.org/10.1016/j.cam.2014.12.044openalex-snapshot
A multi-level preconditioned Krylov method for the efficient solution of algebraic tomographic reconstruction problems
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.06.025openalex-snapshot
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation
inferred← citeshttps://doi.org/10.1016/j.laa.2016.05.025openalex-snapshot
Avoiding singular coarse grid systems
inferred← citeshttps://doi.org/10.1137/100796376openalex-snapshot
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps
inferred← citeshttps://doi.org/10.1137/130921064openalex-snapshot
An Efficient Multigrid Calculation of the Far Field Map for Helmholtz and Schrödinger Equations
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/10.1137/16m108361xopenalex-snapshot
On the Spectrum of Deflated Matrices with Applications to the Deflated Shifted Laplace Preconditioner for the Helmholtz Equation
inferred← citeshttps://doi.org/10.1137/17m1141795openalex-snapshot
Parallel Schur Complement Techniques Based on Multiprojection Methods
inferred← citeshttps://doi.org/10.1137/18m1180268openalex-snapshot
Projections, Deflation, and Multigrid for Nonsymmetric Matrices
inferred← citeshttps://doi.org/10.1190/1.3059279openalex-snapshot
An iterative multilevel method for computing wavefields in frequency-domain seismic inversion
inferred← citeshttps://doi.org/10.1190/1.9781560803027.entry6openalex-snapshot
An introduction to full waveform inversion
inferred← citeshttps://doi.org/10.1553/etna_vol51s512openalex-snapshot
Adaptive Multilevel Krylov Methods
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