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Multigrid method

In numerical analysis, a multigrid method (MG method) is an algorithm for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of…

Algorithm, Overview & Multigrid preconditioning

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Class
Differential equation

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Overview

Algorithm

Computational cost

Multigrid preconditioning

Generalized multigrid methods

Algebraic multigrid (AMG)

Multigrid in time methods

Multigrid for nearly singular problems

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Multigrid method

Nodes63
Edges62
Triples58
Avg. degree1.97
Density0.031746
Components1

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Multigrid method

Top relations

related to Algebraic multigrid (AMG) · 19
Multigrid method → Abstract, Algebraic Multigrid, Also, AMG, AMGe, Brannick, In, Jinchao Xu, Ludmil Zikatanov, More, Practically, SA, Such, Their, They, Thus, We, While, Zikatanov
has method · 11
Multigrid method → Another, For, Kutta, Multigrid, Of, Parareal, Research, Runge, The, These, They
related to Multigrid preconditioning · 10
Multigrid method → CG, However, Hypre, If, Its, LOBPCG, Multigrid, SPD, Such, The
related to Bramble–Pasciak–Xu preconditioner · 9
Multigrid method → BPX, BPX-preconditioner, Bramble-Pasciak-Xu, In, Originally, The, The BPX-preconditioner, V-cycle, Xu’s Ph
related to Multigrid for nearly singular problems · 6
Multigrid method → Here, Nearly, Poisson's, Simple, There, Typically
Class · 1
Multigrid method → Differential equation

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Important terminology

multigrid methods grid method solution problems equations used one differential problem also fine amg example time hierarchy preconditioner iteration v-cycle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Multigrid methodClassDifferential equation1.00infobox
V-cycleinstance ofthe other is the classic multigrid algorithm0.80text
Poisson's ratio that appear in the nearly singular operatorinstance ofmesh size and physical parameters0.80text
Multigrid methodhas methodMultigrid0.60section
Multigrid methodhas methodThey0.60section
Multigrid methodhas methodResearch0.60section
Multigrid methodhas methodAnother0.60section
Multigrid methodhas methodThese0.60section
Multigrid methodhas methodFor0.60section
Multigrid methodhas methodOf0.60section
Multigrid methodhas methodRunge0.60section
Multigrid methodhas methodKutta0.60section

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