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Algebraic multigrid and algebraic multilevel methods: a theoretical comparison
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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/(sici)1099-1506(199603/04)3:2<147::aid-nla75>3.0.co;2-sopenalex-snapshot
Estimate of the Constant in Two Strengthened C.B.S. Inequalities for F.E.M. Systems of 2D Elasticity: Application to Multilevel Methods and a Posteriori Error Estimators
inferredcites →https://doi.org/10.1002/(sici)1099-1506(199709/10)4:5<369::aid-nla105>3.0.co;2-aopenalex-snapshot
A nearly optimal preconditioning based on recursive red-black orderings
inferredcites →https://doi.org/10.1002/(sici)1099-1506(199809/10)5:5<441::aid-nla147>3.0.co;2-jopenalex-snapshot
Optimal v-cycle algebraic multilevel preconditioning
inferredcites →https://doi.org/10.1002/1099-1506(200007/08)7:5<243::aid-nla195>3.0.co;2-yopenalex-snapshot
A robust algebraic multilevel preconditioner for non-symmetricM-matrices
inferredcites →https://doi.org/10.1002/1099-1506(200104/05)8:3<191::aid-nla229>3.0.co;2-7openalex-snapshot
Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensional elasticity system
inferredcites →https://doi.org/10.1002/nla.1680010107openalex-snapshot
Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations
inferredcites →https://doi.org/10.1002/nla.1680010108openalex-snapshot
Variable‐step multilevel preconditioning methods, I: Self‐adjoint and positive definite elliptic problems
inferredcites →https://doi.org/10.1002/nla.1680010302openalex-snapshot
Algebraic multilevel iteration method for Stieltjes matrices
inferredcites →https://doi.org/10.1002/nla.279openalex-snapshot
ARMS: an algebraic recursive multilevel solver for general sparse linear systems
inferredcites →https://doi.org/10.1002/nla.294openalex-snapshot
Robust parameter‐free algebraic multilevel preconditioning
inferredcites →https://doi.org/10.1002/nla.314openalex-snapshot
Multilevel block factorizations in generalized hierarchical bases
inferredcites →https://doi.org/10.1002/nla.325openalex-snapshot
pARMS: a parallel version of the algebraic recursive multilevel solver
inferredcites →https://doi.org/10.1002/nla.340openalex-snapshot
Nested tetrahedral grids and strengthened C.B.S. inequality
inferredcites →https://doi.org/10.1007/978-3-662-02427-0openalex-snapshot
Multi-Grid Methods and Applications
inferredcites →https://doi.org/10.1007/978-94-011-5412-3_6openalex-snapshot
Approximate and Incomplete Factorizations
inferredcites →https://doi.org/10.1007/bf01389538openalex-snapshot
On the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bf01409783openalex-snapshot
Algebraic multilevel preconditioning methods. I
inferredcites →https://doi.org/10.1007/bf01462238openalex-snapshot
The hierarchical basis multigrid method
inferredcites →https://doi.org/10.1007/bf02238488openalex-snapshot
Towards algebraic multigrid for elliptic problems of second order
inferredcites →https://doi.org/10.1007/bf02238511openalex-snapshot
Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
inferredcites →https://doi.org/10.1007/bfb0069933openalex-snapshot
On multigrid methods of the two-level type
inferredcites →https://doi.org/10.1007/bfb0069942openalex-snapshot
The contraction number of a class of two-level methods; an exact evaluation for some finite element subspaces and model problems
inferredcites →https://doi.org/10.1007/bfb0090907openalex-snapshot
Analysis of a recursive 5-point/9-point factorization method
inferredcites →https://doi.org/10.1007/s002110050373openalex-snapshot
Using approximate inverses in algebraic multilevel methods
inferredcites →https://doi.org/10.1016/0024-3795(91)90395-dopenalex-snapshot
On the conditioning analysis of block approximate factorization methods
inferredcites →https://doi.org/10.1016/0096-3003(83)90023-1openalex-snapshot
Algebraic multigrid (AMG): experiences and comparisons
inferredcites →https://doi.org/10.1016/0096-3003(86)90095-0openalex-snapshot
Algebraic multigrid theory: The symmetric case
inferredcites →https://doi.org/10.1016/0377-0427(91)90159-hopenalex-snapshot
The method of diagonal compensation of reduced matrix entries and multilevel iteration
inferredcites →https://doi.org/10.1016/0377-0427(95)00182-4openalex-snapshot
Nested grids ILU-decomposition (NGILU)
inferredcites →https://doi.org/10.1016/0377-0427(96)00016-7openalex-snapshot
The stabilized V-cycle method
inferredcites →https://doi.org/10.1016/0378-4754(86)90032-7openalex-snapshot
Multi-grid methods and applications.
inferredcites →https://doi.org/10.1016/s0168-9274(98)00133-0openalex-snapshot
A multilevel block incomplete factorization preconditioning
inferredcites →https://doi.org/10.1017/s0962492900002610openalex-snapshot
Hierarchical bases and the finite element method
inferredcites →https://doi.org/10.1023/a:1019136808500openalex-snapshot
Stabilization of algebraic multilevel iteration methods; additive methods
inferredcites →https://doi.org/10.1023/b:apom.0000024520.06175.8bopenalex-snapshot
Two Simple Derivations of Universal Bounds for the C.B.S. Inequality Constant
inferredcites →https://doi.org/10.1023/b:bitn.0000014564.49281.13openalex-snapshot
A Survey of Algebraic Multilevel Iteration (AMLI) Methods
inferredcites →https://doi.org/10.1090/s0025-5718-1983-0679442-3openalex-snapshot
Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
inferredcites →https://doi.org/10.1090/s0025-5718-1990-1023042-6openalex-snapshot
Parallel Multilevel Preconditioners
inferredcites →https://doi.org/10.1090/s0025-5718-1992-1122081-6openalex-snapshot
Hybrid $V$-cycle algebraic multilevel preconditioners
inferredcites →https://doi.org/10.1109/mcse.2006.105openalex-snapshot
An introduction to algebraic multigrid
inferredcites →https://doi.org/10.1137/0705045openalex-snapshot
An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
inferredcites →https://doi.org/10.1137/0727092openalex-snapshot
Algebraic Multilevel Preconditioning Methods, II
inferredcites →https://doi.org/10.1137/0906018openalex-snapshot
Block Preconditioning for the Conjugate Gradient Method
inferredcites →https://doi.org/10.1137/0912075openalex-snapshot
The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices
inferredcites →https://doi.org/10.1137/0917054openalex-snapshot
ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices
inferredcites →https://doi.org/10.1137/1033098openalex-snapshot
The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods
inferredcites →https://doi.org/10.1137/s0036144595282211openalex-snapshot
On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods
inferredcites →https://doi.org/10.1137/s0895479897319301openalex-snapshot
Matrix Renumbering ILU: An Effective Algebraic Multilevel ILU Preconditioner for Sparse Matrices
inferredcites →https://doi.org/10.1137/s1064827500372997openalex-snapshot
Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG
inferredcites →https://doi.org/10.1137/s1064827500381045openalex-snapshot
An Algebraic Multilevel Multigraph Algorithm
inferredcites →https://doi.org/10.1137/s1064827597319520openalex-snapshot
The Incomplete Factorization Multigraph Algorithm
inferredcites →https://doi.org/10.1137/s1064827597320058openalex-snapshot
On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems
inferredcites →https://doi.org/10.1137/s1064827597320770openalex-snapshot
Optimal Order Preconditioning of Finite Difference Matrices
inferredcites →https://doi.org/10.1137/s106482759732753xopenalex-snapshot
BILUM: Block Versions of Multielimination and Multilevel ILU Preconditioner for General Sparse Linear Systems
inferredcites →https://doi.org/10.1137/s1064827597331655openalex-snapshot
On the Approximate Cyclic Reduction Preconditioner
inferredcites →https://doi.org/10.1137/s1064827598339402openalex-snapshot
Robustness and Scalability of Algebraic Multigrid
inferredcites →https://doi.org/10.1137/s1064827598344303openalex-snapshot
Algebraic Multigrid Based on Element Interpolation (AMGe)
inferredcites →https://doi.org/10.1137/s1064827599361047openalex-snapshot
AMGE Based on Element Agglomeration
inferredcites →https://doi.org/10.1515/rnam.1989.4.5.351openalex-snapshot
Algebraic multigrid domain decomposition methods
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.1889openalex-snapshot
Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections
inferred← citeshttps://doi.org/10.1002/nla.1930openalex-snapshot
Theoretical bounds for algebraic multigrid performance: review and analysis
inferred← citeshttps://doi.org/10.1002/nla.542openalex-snapshot
Recursive Krylov‐based multigrid cycles
inferred← citeshttps://doi.org/10.1002/nla.649openalex-snapshot
Algebraic analysis of two‐grid methods: The nonsymmetric case
inferred← citeshttps://doi.org/10.1002/nla.685openalex-snapshot
When does two‐grid optimality carry over to the V‐cycle?
inferred← citeshttps://doi.org/10.1002/nla.757openalex-snapshot
An efficient hierarchical preconditioner for quadratic discretizations of finite element problems
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F LEX MG: A new library of multigrid preconditioners for a spectral/finite element incompressible flow solver
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Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge‐matrices and two‐level convergence
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Algebraic Multilevel Methods with Aggregations: An Overview
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On Parallel Multigrid Methods for Solving Systems of Linear Algebraic Equations
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Multigrid Incomplete Factorization Methods in Krylov Subspaces on Unstructured Grids
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Substructuring Preconditioners for the Bidomain Extracellular Potential Problem
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Modified tangential frequency filtering decomposition and its fourier analysis
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Multigrid Incomplete Factorization Methods in Krylov Subspaces
inferred← citeshttps://doi.org/10.1016/j.apnum.2009.08.001openalex-snapshot
Algebraic multigrid preconditioners for the bidomain reaction–diffusion system
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.cam.2010.04.004openalex-snapshot
Convergence analysis of multigrid methods with residual scaling techniques
inferred← citeshttps://doi.org/10.1016/j.cma.2012.10.008openalex-snapshot
Preconditioned iteration for saddle-point systems with bound constraints arising in contact problems
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113342openalex-snapshot
AIR multigrid with GMRES polynomials (AIRG) and additive preconditioners for Boltzmann transport
inferred← citeshttps://doi.org/10.1016/j.laa.2008.04.045openalex-snapshot
On algebraic multi-level methods for non-symmetric systems – Comparison results
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Aggregation-Based Algebraic Multilevel Preconditioning
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Convergence Analysis of Perturbed Two‐Grid and Multigrid Methods
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A Greedy Strategy for Coarse-Grid Selection
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Greedy Coarsening Strategies for Nonsymmetric Problems
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Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
inferred← citeshttps://doi.org/10.1137/080731657openalex-snapshot
Algebraic Multilevel Krylov Methods
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IMF: An Incomplete Multifrontal $LU$-Factorization for Element-Structured Sparse Linear Systems
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A New Analysis of Block Preconditioners for Saddle Point Problems
inferred← citeshttps://doi.org/10.1137/130922616openalex-snapshot
Algebraic Multigrid for Moderate Order Finite Elements
inferred← citeshttps://doi.org/10.1137/130944230openalex-snapshot
Parallel Time Integration with Multigrid
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A New Analytical Framework for the Convergence of Inexact Two-Grid Methods
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Optimal Transfer Operators in Algebraic Two-Level Methods for Nonsymmetric and Indefinite Problems
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Algebraic Theory of Two-Grid Methods
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Preconditioning for Sparse Linear Systems at the Dawn of the 21st Century: History, Current Developments, and Future Perspectives
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Parallel Implementation of a Two-level Algebraic ILU(k)-based Domain Decomposition Preconditioner
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The Fixed-Mesh ALE method applied to multiphysics problems using stabilized formulations
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