<div class="csl-bib-body">
<div class="csl-entry">Führer, T., Melenk, J. M., Praetorius, D., & Rieder, A. (2015). Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes. <i>Computers and Mathematics with Applications</i>, <i>70</i>(7), 1583–1605. https://doi.org/10.1016/j.camwa.2015.06.025</div>
</div>
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dc.identifier.issn
0898-1221
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/150822
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dc.description.abstract
We propose and analyze an overlapping Schwarz preconditioner for the p and hp boundary element method for the hypersingular integral equation in 3D.We consider surface triangulations consisting of triangles. We prove a bound for the condition number that is independent of the mesh size h and polynomial order p. Additionally,we provide an extension to adaptive meshes based on a local multilevel preconditioner for the lowest order space. Numerical experiments on different geometries support our theoretical findings.
en
dc.language.iso
en
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dc.publisher
Elsevier
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dc.relation.ispartof
Computers and Mathematics with Applications
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dc.subject
Modeling and Simulation
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dc.subject
Computational Mathematics
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dc.subject
Computational Theory and Mathematics
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dc.title
Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
1583
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dc.description.endpage
1605
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dc.type.category
Original Research Article
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tuw.container.volume
70
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tuw.container.issue
7
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
Computers and Mathematics with Applications
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tuw.publication.orgunit
E101-02 - Forschungsbereich Numerik
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tuw.publisher.doi
10.1016/j.camwa.2015.06.025
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dc.identifier.eissn
1873-7668
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dc.description.numberOfPages
23
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wb.sci
true
-
wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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item.grantfulltext
none
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.openairetype
research article
-
item.languageiso639-1
en
-
item.cerifentitytype
Publications
-
item.fulltext
no Fulltext
-
crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
