ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION.
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| Title: | ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION. |
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| Authors: | FEI LIU1 liufei@stanford.edu, LEXING YING2 lexing@stanford.edu |
| Source: | Multiscale Modeling & Simulation. 2016, Vol. 14 Issue 2, p799-822. 24p. |
| Subjects: | Helmholtz equation, Fast sweeping methods (Mathematics), Perfectly matched layers (Mathematical physics), Mathematical decomposition, Boundary value problems |
| Abstract: | We introduce a new additive sweeping preconditioner for the Helmholtz equation based on the perfectly matched layer (PML). This method divides the domain of interest into thin layers and proposes a new transmission condition between the subdomains where the emphasis is on the boundary values of the intermediate waves. This approach can be viewed as an effective approximation of an additive decomposition of the solution operator. When combined with the standard GMRES solver, the iteration number is essentially independent of the frequency. Several numerical examples are tested to show the efficiency of this new approach. [ABSTRACT FROM AUTHOR] |
| Copyright of Multiscale Modeling & Simulation is the property of Society for Industrial & Applied Mathematics 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: 118463877 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22FEI+LIU%22">FEI LIU</searchLink><relatesTo>1</relatesTo><i> liufei@stanford.edu</i><br /><searchLink fieldCode="AR" term="%22LEXING+YING%22">LEXING YING</searchLink><relatesTo>2</relatesTo><i> lexing@stanford.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Multiscale+Modeling+%26+Simulation%22">Multiscale Modeling & Simulation</searchLink>. 2016, Vol. 14 Issue 2, p799-822. 24p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Helmholtz+equation%22">Helmholtz equation</searchLink><br /><searchLink fieldCode="DE" term="%22Fast+sweeping+methods+%28Mathematics%29%22">Fast sweeping methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Perfectly+matched+layers+%28Mathematical+physics%29%22">Perfectly matched layers (Mathematical physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+decomposition%22">Mathematical decomposition</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We introduce a new additive sweeping preconditioner for the Helmholtz equation based on the perfectly matched layer (PML). This method divides the domain of interest into thin layers and proposes a new transmission condition between the subdomains where the emphasis is on the boundary values of the intermediate waves. This approach can be viewed as an effective approximation of an additive decomposition of the solution operator. When combined with the standard GMRES solver, the iteration number is essentially independent of the frequency. Several numerical examples are tested to show the efficiency of this new approach. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Multiscale Modeling & Simulation is the property of Society for Industrial & Applied Mathematics 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: 10.1137/15M1017144 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 799 Subjects: – SubjectFull: Helmholtz equation Type: general – SubjectFull: Fast sweeping methods (Mathematics) Type: general – SubjectFull: Perfectly matched layers (Mathematical physics) Type: general – SubjectFull: Mathematical decomposition Type: general – SubjectFull: Boundary value problems Type: general Titles: – TitleFull: ADDITIVE SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: FEI LIU – PersonEntity: Name: NameFull: LEXING YING IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: 2016 Type: published Y: 2016 Identifiers: – Type: issn-print Value: 15403459 Numbering: – Type: volume Value: 14 – Type: issue Value: 2 Titles: – TitleFull: Multiscale Modeling & Simulation Type: main |
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