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Algebraic analysis of two‐grid methods: The nonsymmetric case

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What this work says

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

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A robust algebraic multilevel preconditioner for non-symmetricM-matrices

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Multilevel block factorizations in generalized hierarchical bases

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Coarsening by compatible relaxation

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Algebraic multigrid and algebraic multilevel methods: a theoretical comparison

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On two‐grid convergence estimates

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Two‐sided bounds on the convergence rate of two‐level methods

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Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations

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Multilevel Finite Element Approximation

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Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimization

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Multi-Grid Methods and Applications

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Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems

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Multigrid methods: Fundamental algorithms, model problem analysis and applications

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Fourier analysis of a robust multigrid method for convection-diffusion equations

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Black box multigrid for nonsymmetric problems

inferredcites →https://doi.org/10.1016/0096-3003(83)90023-1openalex-snapshot

Algebraic multigrid (AMG): experiences and comparisons

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Algebraic multigrid theory: The symmetric case

inferredcites →https://doi.org/10.1016/0378-4754(86)90032-7openalex-snapshot

Multi-grid methods and applications.

inferredcites →https://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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Iterative Solution Methods

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A Survey of Algebraic Multilevel Iteration (AMLI) Methods

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An introduction to algebraic multigrid

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A Greedy Strategy for Coarse-Grid Selection

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Algebraic Multigrid Solvers for Complex-Valued Matrices

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Towards Adaptive Smoothed Aggregation ($\alpha$SA) for Nonsymmetric Problems

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4. Algebraic Multigrid

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The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods

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On Generalizing the Algebraic Multigrid Framework

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Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG

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On Three-Grid Fourier Analysis for Multigrid

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Spectral AMGe ($\rho$AMGe)

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Algebraic Multigrid Based on Element Interpolation (AMGe)

What points at this work

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

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Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections

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On the convergence of two‐level Krylov methods for singular symmetric systems

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Performance of algebraic multigrid methods for non‐symmetric matrices arising in particle methods

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Algebraic analysis of aggregation-based multigrid

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Truly monolithic algebraic multigrid for fluid–structure interaction

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Introduction

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Convergence Theory

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Conclusions

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Analysis of a New Time-Space Two-Grid Method for the Two-Dimensional Nonlinear Nonlocal Mobile/Immobile Transport Model

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Analysis of two-grid methods: The nonnormal case

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Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations

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Algebraic Two-Level Convergence Theory for Singular Systems

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A Root-Node--Based Algebraic Multigrid Method

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Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction ($\ell$AIR)

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Projections, Deflation, and Multigrid for Nonsymmetric Matrices

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Nonsymmetric Reduction-Based Algebraic Multigrid

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Convergence in Norm of Nonsymmetric Algebraic Multigrid

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A New Semialgebraic Two-Grid Method for Oseen Problems

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On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid

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B-Orthogonal Projections in Nonsymmetric Algebraic Multigrid Methods

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Optimal Transfer Operators in Algebraic Two-Level Methods for Nonsymmetric and Indefinite Problems

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Algebraic Multigrid (AMG) for Saddle Point Systems

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Algebraic analysis of two-level multigrid methods for edge elements

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Approximate solution of the Hamilton-Jacobi-Bellman equation

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Algebraic Theory of Two-Grid Methods

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Discontinuous Galerkin Methods: Linear Systems and Hidden Accuracy

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Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction (lAIR)

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Convergence in Norm of Nonsymmetric Algebraic Multigrid

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Parallel Implementation of a Two-level Algebraic ILU(k)-based Domain Decomposition Preconditioner

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