Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems
type: Item
instance of: scholarly article
title: Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems
zbMATH Open document ID: 1088.65109
published in: Computing
publication date: 2006-03-21T00:00:00Z
review text: A positive semidefinite matrix is called an edge matrix if the nonzero entries refer only to variables associated to two nodes. If the given stiffness matrix is an \(L\)-matrix, then it can be decomposed into a sum of edge matrices. Otherwise an approximation by \(L\)-matrices is considered. Once a decomposition is determined, a distinction between strongly and weakly connected variables is natural. In this way, one has a basis for selecting coarse-grid nodes in algebraic multigrid algorithms.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5014080
zbMATH Keywords: \(L\)-matrix
zbMATH Keywords: Algebraic multigrid
author: J. K. Kraus
author: Josef Schicho
reviewed by: D. Braess
describes a project that uses: Netgen
MaRDI profile type: Publication
full work available at URL: s00607-005-0147-x
OpenAlex ID: W1974248939
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DOI: 10.1007/S00607-005-0147-X
description: scientific article; zbMATH DE number 5014080