<div class="csl-bib-body">
<div class="csl-entry">Taus, M., Zepeda-Núnez, L., Hewett, R. J., & Demanent, L. (2019). L-Sweeps: a scalable parallel preconditioner for the high-frequency Helmholtz equation. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), <i>Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation</i> (pp. 250–251). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019</div>
</div>
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dc.identifier.isbn
978-3-200-06511-6
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/41757
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dc.description.abstract
Abstract: We introduce a new preconditioning techniquefor the high-frequency Helmholtz equation basedon a checkerboard domain decomposition. Thenovelty of the new technique is that it can beapplied in parallel and is independent of thediscretization. In particular, the preconditionercan be applied inO(N/p)complexity whereNis the number of degrees of freedom andp=O(N1/d)is the number of processors. We con-sider several numerical examples involving con-stant and non-constant wave speeds. In all ex-amples, using a preconditioned GMRES method,the preconditioner results in a logarithmic growthof the number of iterations with respect to thefrequencyω.
en
dc.publisher
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation
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dc.title
L-Sweeps: a scalable parallel preconditioner for the high-frequency Helmholtz equation
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dc.type
Konferenzbeitrag
de
dc.type
Inproceedings
en
dc.relation.publication
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation
-
dc.relation.isbn
978-3-200-06511-6
-
dc.relation.doi
10.34726/waves2019
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dc.description.startpage
250
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dc.description.endpage
251
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dc.type.category
Full-Paper Contribution
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dc.publisher.place
Wien
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tuw.booktitle
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation
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tuw.peerreviewed
true
-
tuw.relation.publisher
Institute of Mechanics and Mechatronics, Faculty of Mechanical and Industrial Engineering, Institute of Analysis and Scientific Computing, Faculty of Mathematics and Geoinformation, TU Wien Wien
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tuw.relation.publisherplace
Wien
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tuw.researchTopic.id
X1
-
tuw.researchTopic.id
C5
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.name
Computer Science Foundations
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
10
-
tuw.researchTopic.value
10
-
tuw.researchTopic.value
80
-
tuw.publication.orgunit
E101-03 - Forschungsbereich Scientific Computing and Modelling
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tuw.publication.orgunit
E325-03 - Forschungsbereich Technische Akustik
-
tuw.publication.orgunit
E101-02 - Forschungsbereich Numerik
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tuw.publisher.doi
10.34726/waves2019
-
dc.description.numberOfPages
2
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tuw.event.name
WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation
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tuw.event.startdate
25-08-2019
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tuw.event.enddate
30-08-2019
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tuw.event.online
On Site
-
tuw.event.type
Event for scientific audience
-
tuw.event.place
Wien
-
tuw.event.country
AT
-
tuw.event.presenter
Taus, Matthias
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wb.sciencebranch
Mathematik
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wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch.oefos
1010
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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.grantfulltext
none
-
item.openairetype
conference paper
-
item.fulltext
no Fulltext
-
item.openairecristype
http://purl.org/coar/resource_type/c_5794
-
item.cerifentitytype
Publications
-
crisitem.author.dept
E101-03 - Forschungsbereich Scientific Computing and Modelling
-
crisitem.author.parentorg
E101 - Institut für Analysis und Scientific Computing
