An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains.
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| Title: | An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains. |
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| Authors: | Druskin, Vladimir1 Druskin1@slb.com, Remis, Rob2 R.F.Remis@TUDelft.NL, Zaslavsky, Mikhail1 mzaslavsky@slb.com |
| Source: | Journal of Computational Physics. Sep2014, Vol. 272, p608-618. 11p. |
| Subjects: | Krylov subspace, Mathematical models, Simulation methods & models, Theory of wave motion, Mathematical optimization, Operator theory |
| Abstract: | Abstract: In this paper we present a novel extended Krylov subspace reduced-order modeling technique to efficiently simulate time- and frequency-domain wavefields in open complex structures. To simulate the extension to infinity, we use an optimal complex-scaling method which is equivalent to an optimized perfectly matched layer in which the frequency is fixed. Wavefields propagating in strongly inhomogeneous open domains can now be modeled as a non-entire function of the complex-scaled wave operator. Since this function contains a square root singularity, we apply an extended Krylov subspace technique to construct fast converging reduced-order models. Specifically, we use a modified version of the extended Krylov subspace algorithm as proposed by Jagels and Reichel [14], since this algorithm allows us to balance the computational costs associated with computing powers of the wave operator and its inverse. Numerical experiments from electromagnetics and acoustics illustrate the performance of the method. [Copyright &y& Elsevier] |
| Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 96325825 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Druskin%2C+Vladimir%22">Druskin, Vladimir</searchLink><relatesTo>1</relatesTo><i> Druskin1@slb.com</i><br /><searchLink fieldCode="AR" term="%22Remis%2C+Rob%22">Remis, Rob</searchLink><relatesTo>2</relatesTo><i> R.F.Remis@TUDelft.NL</i><br /><searchLink fieldCode="AR" term="%22Zaslavsky%2C+Mikhail%22">Zaslavsky, Mikhail</searchLink><relatesTo>1</relatesTo><i> mzaslavsky@slb.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. Sep2014, Vol. 272, p608-618. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Krylov+subspace%22">Krylov subspace</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: In this paper we present a novel extended Krylov subspace reduced-order modeling technique to efficiently simulate time- and frequency-domain wavefields in open complex structures. To simulate the extension to infinity, we use an optimal complex-scaling method which is equivalent to an optimized perfectly matched layer in which the frequency is fixed. Wavefields propagating in strongly inhomogeneous open domains can now be modeled as a non-entire function of the complex-scaled wave operator. Since this function contains a square root singularity, we apply an extended Krylov subspace technique to construct fast converging reduced-order models. Specifically, we use a modified version of the extended Krylov subspace algorithm as proposed by Jagels and Reichel [14], since this algorithm allows us to balance the computational costs associated with computing powers of the wave operator and its inverse. Numerical experiments from electromagnetics and acoustics illustrate the performance of the method. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jcp.2014.04.051 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 608 Subjects: – SubjectFull: Krylov subspace Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Simulation methods & models Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Mathematical optimization Type: general – SubjectFull: Operator theory Type: general Titles: – TitleFull: An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Druskin, Vladimir – PersonEntity: Name: NameFull: Remis, Rob – PersonEntity: Name: NameFull: Zaslavsky, Mikhail IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 00219991 Numbering: – Type: volume Value: 272 Titles: – TitleFull: Journal of Computational Physics Type: main |
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