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

Research output: Contribution to journal › Article › peer-review

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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T1 - Multiple vector preserving interpolation mappings in algebraic multigrid

AU - Vassilevski, Panayot S.

AU - Zikatanov, Ludmil T.

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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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U2 - 10.1137/040618205

DO - 10.1137/040618205

M3 - Article

AN - SCOPUS:33750175378

SN - 0895-4798

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JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 4

ER -

Multiple vector preserving interpolation mappings in algebraic multigrid

Abstract

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