Domain dependent Dirac's delta and derivatives with an application to electromagnetic boundary integral representations
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| Title: | Domain dependent Dirac's delta and derivatives with an application to electromagnetic boundary integral representations |
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| Authors: | Vänskä, S.1 simopekka.vanska@helsinki.fi, Taskinen, M.2 |
| Source: | Journal of Mathematical Analysis & Applications. Aug2008, Vol. 344 Issue 1, p546-556. 11p. |
| Subjects: | Helmholtz equation, Maxwell equations, Mathematical analysis, Algebra |
| Abstract: | Abstract: The domain dependent versions of derivatives and Dirac''s delta are defined in distributional sense. These operations enable to obtain domain dependent fundamental solutions and global boundary integral representation formulae. A global representation formula is defined everywhere, also on the boundary, and includes the jump relations of the boundary. The use of the domain dependent objects can be interpreted as taking the boundary limit in prior to integrating by parts when deriving the familiar boundary integral equations. As an application, the representation formulae are obtained for the solutions of the Helmholtz equation and the Maxwell equations. [Copyright &y& Elsevier] |
| Copyright of Journal of Mathematical Analysis & Applications 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: 31827640 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Domain dependent Dirac's delta and derivatives with an application to electromagnetic boundary integral representations – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Vänskä%2C+S%2E%22">Vänskä, S.</searchLink><relatesTo>1</relatesTo><i> simopekka.vanska@helsinki.fi</i><br /><searchLink fieldCode="AR" term="%22Taskinen%2C+M%2E%22">Taskinen, M.</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Mathematical+Analysis+%26+Applications%22">Journal of Mathematical Analysis & Applications</searchLink>. Aug2008, Vol. 344 Issue 1, p546-556. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Helmholtz+equation%22">Helmholtz equation</searchLink><br /><searchLink fieldCode="DE" term="%22Maxwell+equations%22">Maxwell equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: The domain dependent versions of derivatives and Dirac''s delta are defined in distributional sense. These operations enable to obtain domain dependent fundamental solutions and global boundary integral representation formulae. A global representation formula is defined everywhere, also on the boundary, and includes the jump relations of the boundary. The use of the domain dependent objects can be interpreted as taking the boundary limit in prior to integrating by parts when deriving the familiar boundary integral equations. As an application, the representation formulae are obtained for the solutions of the Helmholtz equation and the Maxwell equations. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Mathematical Analysis & Applications 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.jmaa.2008.03.016 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 546 Subjects: – SubjectFull: Helmholtz equation Type: general – SubjectFull: Maxwell equations Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Algebra Type: general Titles: – TitleFull: Domain dependent Dirac's delta and derivatives with an application to electromagnetic boundary integral representations Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Vänskä, S. – PersonEntity: Name: NameFull: Taskinen, M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 0022247X Numbering: – Type: volume Value: 344 – Type: issue Value: 1 Titles: – TitleFull: Journal of Mathematical Analysis & Applications Type: main |
| ResultId | 1 |
