Multiple vector preserving interpolation mappings in algebraic multigrid

Panayot S. Vassilevski; Ludmil T. Zikatanov

doi:10.1137/040618205

Multiple vector preserving interpolation mappings in algebraic multigrid

Panayot S. Vassilevski, Ludmil T. Zikatanov

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12 Scopus citations

Abstract

We propose algorithms for the construction of AMG (algebraic multigrid) interpolation mappings such that the resulting coarse space will span (locally and globally) any number of a priori given set of vectors. Specific constructions in the case of element agglomeration AMG methods are given. Some numerical illustrations are also provided.

Original language	English (US)
Pages (from-to)	1040-1055
Number of pages	16
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	27
Issue number	4
DOIs	https://doi.org/10.1137/040618205
State	Published - 2006

All Science Journal Classification (ASJC) codes

Analysis

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10.1137/040618205

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title = "Multiple vector preserving interpolation mappings in algebraic multigrid",

abstract = "We propose algorithms for the construction of AMG (algebraic multigrid) interpolation mappings such that the resulting coarse space will span (locally and globally) any number of a priori given set of vectors. Specific constructions in the case of element agglomeration AMG methods are given. Some numerical illustrations are also provided.",

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AB - We propose algorithms for the construction of AMG (algebraic multigrid) interpolation mappings such that the resulting coarse space will span (locally and globally) any number of a priori given set of vectors. Specific constructions in the case of element agglomeration AMG methods are given. Some numerical illustrations are also provided.

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JO - SIAM Journal on Matrix Analysis and Applications

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Multiple vector preserving interpolation mappings in algebraic multigrid

Abstract

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