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A survey of multilevel preconditioned iterative methods
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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.1630040409openalex-snapshot
A restarted version of a generalized preconditioned conjugate gradient method
inferredcites →https://doi.org/10.1007/978-3-322-86200-6_18openalex-snapshot
Multilevel Preconditioning Matrices and Multigrid V-Cycle Methods
inferredcites →https://doi.org/10.1007/978-3-642-84108-8_13openalex-snapshot
Domain Decomposition Methods
inferredcites →https://doi.org/10.1007/978-3-662-02427-0openalex-snapshot
Multi-Grid Methods and Applications
inferredcites →https://doi.org/10.1007/978-3-7091-7023-6_7openalex-snapshot
Fast Adaptive Composite Grid (FAC) Methods: Theory for the Variational Case
inferredcites →https://doi.org/10.1007/bf00046565openalex-snapshot
Multigrid methods, theory applications, and supercomputing
inferredcites →https://doi.org/10.1007/bf01389538openalex-snapshot
On the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bf01396750openalex-snapshot
A generalized conjugate gradient, least square method
inferredcites →https://doi.org/10.1007/bf01400317openalex-snapshot
The contraction number of a multigrid method for solving the Poisson equation
inferredcites →https://doi.org/10.1007/bf01462238openalex-snapshot
The hierarchical basis multigrid method
inferredcites →https://doi.org/10.1007/bf02162087openalex-snapshot
A second order finite difference analog of the first biharmonic boundary value problem
inferredcites →https://doi.org/10.1007/bfb0069928openalex-snapshot
Multigrid methods: Fundamental algorithms, model problem analysis and applications
inferredcites →https://doi.org/10.1007/bfb0069933openalex-snapshot
On multigrid methods of the two-level type
inferredcites →https://doi.org/10.1007/bfb0069934openalex-snapshot
The convergence rate of a multigrid method with Gauss-Seidel relaxation for the poisson equation
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/bfb0094171openalex-snapshot
The rate of convergence of a multiple grid method
inferredcites →https://doi.org/10.1016/0024-3795(80)90165-2openalex-snapshot
Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
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(66)90118-2openalex-snapshot
On the convergence of a relaxation method with natural constraints on the elliptic operator
inferredcites →https://doi.org/10.1016/0045-7825(88)90122-3openalex-snapshot
A preconditioning technique for the efficient solution of problems with local grid refinement
inferredcites →https://doi.org/10.1016/0045-7825(89)90023-6openalex-snapshot
Multigrid domain decomposition methods for elliptic problems
inferredcites →https://doi.org/10.1016/0096-3003(86)90104-9openalex-snapshot
Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0431719-xopenalex-snapshot
Multi-Level Adaptive Solutions to Boundary-Value Problems
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0488722-3openalex-snapshot
On the 𝑙² convergence of an algorithm for solving finite element equations
inferredcites →https://doi.org/10.1090/s0025-5718-1981-0595040-2openalex-snapshot
An Optimal Order Process for Solving Finite Element Equations
inferredcites →https://doi.org/10.1090/s0025-5718-1981-0616364-6openalex-snapshot
Krylov subspace methods for solving large unsymmetric linear systems
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/s0025-5718-1986-0829618-xopenalex-snapshot
The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0906174-xopenalex-snapshot
New Convergence Estimates for Multigrid Algorithms
inferredcites →https://doi.org/10.1090/s0025-5718-1988-0930228-6openalex-snapshot
The Analysis of Multigrid Algorithms for Nonsymmetric and Indefinite Elliptic Problems
inferredcites →https://doi.org/10.1137/0720023openalex-snapshot
Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0720066openalex-snapshot
A New Convergence Proof for the Multigrid Method Including the V -Cycle
inferredcites →https://doi.org/10.1137/0722038openalex-snapshot
Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration
inferredcites →https://doi.org/10.1137/0725008openalex-snapshot
An Algebraic Theory for Multigrid Methods for Variational Problems
inferredcites →https://doi.org/10.1137/0727091openalex-snapshot
A Taxonomy for Conjugate Gradient Methods
inferredcites →https://doi.org/10.1137/0727092openalex-snapshot
Algebraic Multilevel Preconditioning Methods, II
inferredcites →https://doi.org/10.1137/0905015openalex-snapshot
Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.2118/5729-msopenalex-snapshot
Orthomin, an Iterative Method for Solving Sparse Sets of Simultaneous Linear Equations
inferredcites →https://doi.org/10.2118/7683-msopenalex-snapshot
A Multi-Level Iterative Method For Solving Finite Element Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199906)6:4<257::aid-nla157>3.0.co;2-#openalex-snapshot
Diagonal threshold techniques in robust multi‐level ILU preconditioners for general sparse linear systems
inferred← citeshttps://doi.org/10.1002/nla.1680010403openalex-snapshot
Local refinement techniques for elliptic problems on cell‐centered grids; II. Optimal order two‐grid iterative methods
inferred← citeshttps://doi.org/10.1002/nla.1680020404openalex-snapshot
Optimal algebraic multilevel preconditioning for local refinement along a line
inferred← citeshttps://doi.org/10.1002/nme.1620371305openalex-snapshot
Preconditioned conjugate gradient methods for three‐dimensional linear elasticity
inferred← citeshttps://doi.org/10.1007/3-540-45346-6_1openalex-snapshot
Optimizing Two-Level Preconditionings for the Conjugate Gradient Method
inferred← citeshttps://doi.org/10.1007/3-540-62598-4_90openalex-snapshot
Operator problems in strengthened Sobolev spaces and numerical methods for them
inferred← citeshttps://doi.org/10.1007/978-3-322-85732-3_10openalex-snapshot
Quadrant Tridiagonal Partitioning and Preconditioned Conjugate Gradient Method for Solving Elliptic Problems
inferred← citeshttps://doi.org/10.1007/bf00350049openalex-snapshot
Multiply gauged, mixed, progressively direct gradient based iterative solvers
inferred← citeshttps://doi.org/10.1007/bf01385790openalex-snapshot
Local refinement techniques for elliptic problems on cell-centered grids
inferred← citeshttps://doi.org/10.1007/bf02684039openalex-snapshot
A framework of parallel algebraic multilevel preconditioning iterations
inferred← citeshttps://doi.org/10.1007/s40324-021-00282-xopenalex-snapshot
Graph coarsening: from scientific computing to machine learning
inferred← citeshttps://doi.org/10.1016/0024-3795(95)00547-1openalex-snapshot
Parallel multilevel iterative methods
inferred← citeshttps://doi.org/10.1016/0168-9274(94)90023-xopenalex-snapshot
On adaptive multilevel superposition of finite element meshes for linear elastostatics
inferred← citeshttps://doi.org/10.1016/0377-0427(91)90159-hopenalex-snapshot
The method of diagonal compensation of reduced matrix entries and multilevel iteration
inferred← citeshttps://doi.org/10.1016/0377-0427(96)00016-7openalex-snapshot
The stabilized V-cycle method
inferred← citeshttps://doi.org/10.1016/j.cam.2005.03.044openalex-snapshot
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00024-4openalex-snapshot
Parallel Hybrid Algebraic Multilevel Iterative Methods
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00142-4openalex-snapshot
Parallel preconditioning based on h-hierarchical finite elements with application to acoustics
inferred← citeshttps://doi.org/10.1016/s0378-4754(02)00063-0openalex-snapshot
Preconditioning by Gram matrix approximation for diffusion–convection–reaction equations with discontinuous coefficients
inferred← citeshttps://doi.org/10.1023/a:1019136808500openalex-snapshot
Stabilization of algebraic multilevel iteration methods; additive methods
inferred← citeshttps://doi.org/10.1023/b:bitn.0000014564.49281.13openalex-snapshot
A Survey of Algebraic Multilevel Iteration (AMLI) Methods
inferred← citeshttps://doi.org/10.1080/10407799208944985openalex-snapshot
PARTITIONED ITERATIVE SOLVER FOR VERY LARGE THERMAL SIMULATIONS
inferred← citeshttps://doi.org/10.1108/09615539910276863openalex-snapshot
Preconditioning by approximations of the discrete Laplacian for 2‐D non‐linear free convection elliptic equations
inferred← citeshttps://doi.org/10.1109/5.60919openalex-snapshot
Discretization and solution of elliptic PDEs-a digital signal processing approach
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Neural networks for solving systems of linear equations and related problems
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A Black Box Generalized Conjugate Gradient Solver with Inner Iterations and Variable-Step Preconditioning
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BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices
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BILUM: Block Versions of Multielimination and Multilevel ILU Preconditioner for General Sparse Linear Systems
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Fast solvers for time-harmonic Maxwell’s equations in 3D
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Block-Triangular Preconditioners for Systems Arising from Edge-Preserving Image Restoration
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