Efficient iterative methods for multi-frequency wave propagation problems: A comparison study

Manuel Baumann; Martin B. van Gijzen

Efficient iterative methods for multi-frequency wave propagation problems: A comparison study

Numerical Analysis

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

3 Citations (Scopus)

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Abstract

In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.

Original language	English
Title of host publication	International Conference on Computational Science, ICCS 2017
Publisher	Elsevier
Pages	645-654
Number of pages	10
Publication status	Published - 2017
Event	ICCS 2017: 17th International Conference on Computational Science - Zürich, Switzerland Duration: 12 Jun 2017 → 14 Jun 2017 https://www.iccs-meeting.org/iccs2017/

Publication series

Name	Procedia Computer Science
Volume	108C
ISSN (Print)	1877-0509

Conference

Conference	ICCS 2017
Country/Territory	Switzerland
City	Zürich
Period	12/06/17 → 14/06/17
Other	The Art of Computational Science. Bridging Gaps – Forming Alloys
Internet address	https://www.iccs-meeting.org/iccs2017/

Keywords

Time-harmonic elastic wave equation
global GMRES
multi-shift GMRES
shifted Neumann preconditioner
nested multi-shift Krylov methods

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35661916Final published version, 595 KBLicence: CC BY-NC-ND

http://10.1016/j.procs.2017.05.088

Cite this

@inproceedings{b3810eb383144f08b173baeeeec62efb,

title = "Efficient iterative methods for multi-frequency wave propagation problems: A comparison study",

abstract = "In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.",

keywords = "Time-harmonic elastic wave equation, global GMRES, multi-shift GMRES, shifted Neumann preconditioner, nested multi-shift Krylov methods",

author = "Manuel Baumann and {van Gijzen}, {Martin B.}",

year = "2017",

language = "English",

series = "Procedia Computer Science",

publisher = "Elsevier",

pages = "645--654",

booktitle = "International Conference on Computational Science, ICCS 2017",

note = "ICCS 2017 : 17th International Conference on Computational Science ; Conference date: 12-06-2017 Through 14-06-2017",

url = "https://www.iccs-meeting.org/iccs2017/",

}

Efficient iterative methods for multi-frequency wave propagation problems: A comparison study. / Baumann, Manuel; van Gijzen, Martin B.
International Conference on Computational Science, ICCS 2017. Elsevier, 2017. p. 645-654 (Procedia Computer Science; Vol. 108C).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Efficient iterative methods for multi-frequency wave propagation problems

T2 - ICCS 2017

AU - Baumann, Manuel

AU - van Gijzen, Martin B.

PY - 2017

Y1 - 2017

N2 - In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.

AB - In this paper we present a comparison study for three different iterative Krylov methods that we have recently developed for the simultaneous numerical solution of wave propagation problems at multiple frequencies. The three approaches have in common that they require the application of a single shift-and-invert preconditioner at a suitable seed frequency. The focus of the present work, however, lies on the performance of the respective iterative method. We conclude with numerical examples that provide guidance concerning the suitability of the three methods.

KW - Time-harmonic elastic wave equation

KW - global GMRES

KW - multi-shift GMRES

KW - shifted Neumann preconditioner

KW - nested multi-shift Krylov methods

UR - http://www.sciencedirect.com/science/article/pii/S1877050917306294

UR - http://resolver.tudelft.nl/uuid:b3810eb3-8314-4f08-b173-baeeeec62efb

M3 - Conference contribution

T3 - Procedia Computer Science

SP - 645

EP - 654

BT - International Conference on Computational Science, ICCS 2017

PB - Elsevier

Y2 - 12 June 2017 through 14 June 2017

ER -

Efficient iterative methods for multi-frequency wave propagation problems: A comparison study

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