<div class="csl-bib-body">
<div class="csl-entry">Kogler, L., & Schöberl, J. (2022). An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices. <i>Numerical Linear Algebra with Applications</i>, <i>29</i>(1), Article e2408. https://doi.org/10.1002/nla.2408</div>
</div>
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dc.identifier.issn
1070-5325
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/136558
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dc.description.abstract
This article introduces a novel approach to algebraic multigrid methods for large systems of linear equations coming from finite element discretizations of certain elliptic second-order partial differential equations. Based on a discrete energy made up of edge and vertex contributions, we are able to develop coarsening criteria that guarantee two-level convergence even for systems of equations such as linear elasticity . This energy also allows us to construct prolongations with prescribed sparsity pattern that still preserve kernel vectors exactly. These allow for a straightforward optimization that simplifies parallelization and reduces communication on coarse levels. Numerical experiments demonstrate efficiency and robustness of the method and scalability of the implementation.
en
dc.language.iso
en
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dc.publisher
WILEY
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dc.relation.ispartof
Numerical Linear Algebra with Applications
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dc.subject
Applied Mathematics
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dc.subject
Algebra and Number Theory
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dc.title
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices
en
dc.type
Artikel
de
dc.type
Article
en
dc.type.category
Original Research Article
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tuw.container.volume
29
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tuw.container.issue
1
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
dcterms.isPartOf.title
Numerical Linear Algebra with Applications
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tuw.publication.orgunit
E101-03 - Forschungsbereich Scientific Computing and Modelling
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tuw.publisher.doi
10.1002/nla.2408
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dc.date.onlinefirst
2021-08-18
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dc.identifier.articleid
e2408
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dc.identifier.eissn
1099-1506
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dc.description.numberOfPages
25
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tuw.author.orcid
0000-0003-0593-8797
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.oefos
1030
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wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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item.cerifentitytype
Publications
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item.openairetype
research article
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item.fulltext
no Fulltext
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item.languageiso639-1
en
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.grantfulltext
none
-
crisitem.author.dept
E101-03-1 - Forschungsgruppe Computational Mathematics in Engineering
-
crisitem.author.dept
E101-03 - Forschungsbereich Scientific Computing and Modelling
-
crisitem.author.orcid
0000-0002-1250-5087
-
crisitem.author.parentorg
E101-03 - Forschungsbereich Scientific Computing and Modelling
-
crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing