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Algebraic multigrid methods (Q4594246)

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scientific article; zbMATH DE number 6808167

Language	Label	Description	Also known as
English	Algebraic multigrid methods	scientific article; zbMATH DE number 6808167

Statements

scholarly article

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Algebraic multigrid methods (English)

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zbMATH Open document ID

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10.1017/S0962492917000083

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Ludmil T. Zikatanov

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publication date

17 November 2017

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full work available at URL

https://arxiv.org/abs/1611.01917

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

algebraic multigrid

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coarse spaces

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sparse matrix

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coarsening strategies

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aggregation

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anisotropic coefficients

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bootstrap AMG

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients

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Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration

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New Convergence Estimates for Multigrid Algorithms

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Some Estimates for a Weighted L 2 Projection

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Parallel Multilevel Preconditioners

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The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms

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Convergence Estimates for Multigrid Algorithms without Regularity Assumptions

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Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition

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Multi-Level Adaptive Solutions to Boundary-Value Problems

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General highly accurate algebraic coarsening

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Multiscale and multiresolution methods. Theory and applications

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Compatible Relaxation and Coarsening in Algebraic Multigrid

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Iterative solution of large sparse systems of equations. Transl. from the German

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Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems

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Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems

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Algebraic Multigrid for High-Order Hierarchical $H(curl)$ Finite Elements

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ROBUST SUBSPACE CORRECTION METHODS FOR NEARLY SINGULAR SYSTEMS

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One-Dimensional Algorithm for Finding Eigenbasis of the Schrödinger Operator

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A Greedy Strategy for Coarse-Grid Selection

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Adaptive reduction-based AMG

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Robust and adaptive multigrid methods: comparing structured and algebraic approaches

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Algebraic study of multigrid methods for symmetric, definite problems

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Energy optimization of algebraic multigrid bases

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Operator-based interpolation for bootstrap algebraic multigrid

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An Algebraic Interpretation of Multigrid Methods

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Multigrid Methods for Variational Problems: Further Results

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Multigrid Methods for Variational Problems: General Theory for the <i>V</i>-Cycle

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Multigrid Methods for Variational Problems

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Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process

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A modification of the two-level algorithm with overcorrection

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An Algebraic Multigrid Method with Guaranteed Convergence Rate

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On multiple grid and related techniques for solving discrete elliptic systems

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On the l 2 Convergence of an Algorithm for Solving Finite Element Equations

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Flexible Conjugate Gradients

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An aggregation-based algebraic multigrid method

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Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations

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Recursive Krylov‐based multigrid cycles

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A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization

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On the robustness of the BPX-preconditioner with respect to jumps in the coefficients

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Multigrid with matrix-dependent transfer operators for a singular perturbation problem

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AMG for problems of elasticity

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Smoothed aggregation solvers for anisotropic diffusion

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Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps

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Reducing Complexity in Parallel Algebraic Multigrid Preconditioners

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Algebraic multigrid (AMG): Experiences and comparisons

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Non-Galerkin Multigrid Based on Sparsified Smoothed Aggregation

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Iterative Aggregation--A New Approach to the Solution of Large-Scale Problems

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

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Matrix Iterative Analysis

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Multilevel Block Factorization Preconditioners

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Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid

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Adaptive filtering

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An Energy-minimizing Interpolation for Robust Multigrid Methods

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Parallel frequency filtering

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The Development of Coarse Spaces for Domain Decomposition Algorithms

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Counterexamples Concerning A Weighted L 2 Projection

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Iterative Methods by Space Decomposition and Subspace Correction

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The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids

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The method of alternating projections and the method of subspace corrections in Hilbert space

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On an energy minimizing basis for algebraic multigrid methods

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Some Nonoverlapping Domain Decomposition Methods

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Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids

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

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Mathematics(1 entry)

mardi Publication:4594246

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