A Null Infinity Layer for Wave Scattering.
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| Title: | A Null Infinity Layer for Wave Scattering. |
|---|---|
| Authors: | Zenginoğlu, Anil1 (AUTHOR) anil@umd.edu |
| Source: | SIAM Journal on Scientific Computing. 2026, Vol. 48 Issue 3, pA1075-A1100. 26p. |
| Subjects: | Scattering (Physics), Infinity (Mathematics), Computational physics, Finite element method, Boundary value problems, Sine waves, Spectral element method |
| Abstract: | We solve time-harmonic wave scattering problems on unbounded domains without domain truncation by mapping the unbounded domain to a bounded domain and scaling the oscillatory decay towards infinity. The technique, first developed in numerical relativity for time-domain wave equations, solves for the far-field pattern using compactification at infinity, avoiding the outer boundary problem. We design a layer that restricts the transformations to an annular domain. The resulting null infinity layer solves both the outer boundary and radiation extraction problems. We demonstrate its practical implementation using finite difference, Chebyshev collocation, spectral Galerkin, and finite element methods in one and two dimensions. [ABSTRACT FROM AUTHOR] |
| Copyright of SIAM Journal on Scientific Computing 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: 195222016 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Null Infinity Layer for Wave Scattering. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zenginoğlu%2C+Anil%22">Zenginoğlu, Anil</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> anil@umd.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Scientific+Computing%22">SIAM Journal on Scientific Computing</searchLink>. 2026, Vol. 48 Issue 3, pA1075-A1100. 26p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Infinity+%28Mathematics%29%22">Infinity (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+physics%22">Computational physics</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Sine+waves%22">Sine waves</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+element+method%22">Spectral element method</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We solve time-harmonic wave scattering problems on unbounded domains without domain truncation by mapping the unbounded domain to a bounded domain and scaling the oscillatory decay towards infinity. The technique, first developed in numerical relativity for time-domain wave equations, solves for the far-field pattern using compactification at infinity, avoiding the outer boundary problem. We design a layer that restricts the transformations to an annular domain. The resulting null infinity layer solves both the outer boundary and radiation extraction problems. We demonstrate its practical implementation using finite difference, Chebyshev collocation, spectral Galerkin, and finite element methods in one and two dimensions. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of SIAM Journal on Scientific Computing 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=195222016 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1137/25M1760404 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: A1075 Subjects: – SubjectFull: Scattering (Physics) Type: general – SubjectFull: Infinity (Mathematics) Type: general – SubjectFull: Computational physics Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Sine waves Type: general – SubjectFull: Spectral element method Type: general Titles: – TitleFull: A Null Infinity Layer for Wave Scattering. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zenginoğlu, Anil IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10648275 Numbering: – Type: volume Value: 48 – Type: issue Value: 3 Titles: – TitleFull: SIAM Journal on Scientific Computing Type: main |
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