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Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems

https://doi.org/10.1137/0915062
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01409783openalex-snapshot
Algebraic multilevel preconditioning methods. I
inferredcites →https://doi.org/10.1007/bf01409786openalex-snapshot
The frequency decomposition multi-grid method
inferredcites →https://doi.org/10.1007/bf01932738openalex-snapshot
The effect of ordering on preconditioned conjugate gradients
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/10.1016/0024-3795(91)90401-hopenalex-snapshot
Analysis of parallel incomplete point factorizations
inferredcites →https://doi.org/10.1016/0167-8191(89)90080-xopenalex-snapshot
Positive definiteness aspects of vectorizable preconditioners
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/10.1137/0727092openalex-snapshot
Algebraic Multilevel Preconditioning Methods, II
inferredcites →https://doi.org/10.1137/0913017openalex-snapshot
Fourier Analysis of Incomplete Factorization Preconditioners for Three-Dimensional Anisotropic Problems
inferredcites →https://doi.org/10.1137/0913037openalex-snapshot
Computation of Constants in the Strengthened Cauchy Inequality for Elliptic Bilinear Forms with Anisotropy
inferredcites →https://doi.org/10.1137/1033098openalex-snapshot
The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods
inferredcites →https://doi.org/10.1515/rnam.1989.4.5.351openalex-snapshot
Algebraic multigrid domain decomposition methods

What points at this work

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Parallel Algorithms for Orthotropic Problems
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A Multigrid Method Based on Incomplete Gaussian Elimination
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Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems
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Semi-coarsening AMLI algorithms for elasticity problems
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Robust Schur complement method for strongly anisotropic elliptic equations
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An algebraic preconditioning method for M‐matrices: linear versus non‐linear multilevel iteration
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Robust parameter‐free algebraic multilevel preconditioning
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Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non‐conforming FEM systems
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Robust optimal multilevel preconditioners for non‐conforming finite element systems
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Algebraic multilevel preconditioning of finite element matrices using local Schur complements
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Aggregation-Based Multilevel Preconditioning of Non-conforming FEM Elasticity Problems
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Robust Algebraic Multilevel Preconditioners for Anisotropic Problems
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Parallel Performance of a 3D Elliptic Solver
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On a robust multigrid solver
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On the structure of solutions to elliptic problems with strong anisotropy
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Circulant block-factorization preconditioning of anisotropic elliptic problems
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A computational study of the weak Galerkin method for second-order elliptic equations
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Robust multilevel solvers for high-contrast anisotropic multiscale problems
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An efficient high-order numerical solver for diffusion equations with strong anisotropy
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A multilevel block incomplete factorization preconditioning
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Multilevel algorithms for 3D simulation of nonlinear elasticity problems
inferred← citeshttps://doi.org/10.1137/22m1500162openalex-snapshot
An Efficient High-Order Solver for Diffusion Equations with Strong Anisotropy on Non-Anisotropy-Aligned Meshes
inferred← citeshttps://doi.org/10.1137/s0036142903428414openalex-snapshot
Multilevel Solvers for a Finite Element Discretization of a Degenerate Problem
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On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods
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On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems
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On Multilevel Preconditioners which are Optimal with Respect to Both Problem and Discretization Parameters
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