Datensatz Zitierlink: 
http://hdl.handle.net/20.500.12708/41757
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Titel: 
L-Sweeps: a scalable parallel preconditioner for the high-frequency Helmholtz equation
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Zitat: 
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.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 250–251). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. http://hdl.handle.net/20.500.12708/41757
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Publikationstyp: 
Konferenzbeitrag - Full-Paper Contribution
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Sprache: 
Englisch
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Autor_innen: 
Taus, Matthias 
Zepeda-Núnez, Leonardo 
Hewett, Russel J. 
Demanent, Laurent 
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Organisations­einheit: 
E101-03 - Forschungsbereich Scientific Computing and Modelling 
E325-03 - Forschungsbereich Technische Akustik 
E101-02 - Forschungsbereich Numerik 
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Erschienen in: 
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation 
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ISBN: 
978-3-200-06511-6
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DOI des Buches: 
10.34726/waves2019
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Datum (veröffentlicht): 
2019
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Veranstaltungs­name: 
WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation 
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Veranstaltungs­zeitraum: 
25-Aug-2019 - 30-Aug-2019
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Veranstaltungs­ort: 
Wien, Österreich
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Umfang: 
2
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Verlag: 
Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Wien
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Verlag: 
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, Wien
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Peer Reviewed: 
Ja
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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.
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Forschungs­schwerpunkte: 
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 10%
Computer Science Foundations: 10%
Mathematical and Algorithmic Foundations: 80%
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Wissenschafts­zweig: 
Mathematik
Physik, Astronomie
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Enthalten in den Sammlungen:
Conference Paper

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