Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential.
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| Title: | Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential. |
|---|---|
| Authors: | Krutitskii, P. A.1 (AUTHOR) biem@mail.ru, Reznichenko, I. O.1 (AUTHOR) io.reznichenko@physics.msu.ru |
| Source: | Computational Mathematics & Mathematical Physics. Feb2024, Vol. 64 Issue 2, p188-205. 18p. |
| Subjects: | Numerical solutions to boundary value problems, Boundary element methods, Helmholtz equation |
| Abstract: | A single-layer potential for the Helmholtz equation in the three-dimensional case and a single-layer potential for the Laplace equation are considered. A quadrature rule is derived for the direct value of the normal derivative of the single-layer potential with a continuous density given on a closed or open surface. The quadrature rule provides a much higher accuracy than previously available formulas, which is confirmed by numerical tests. The quadrature rule can be used for the numerical solution of boundary value problems for Laplace and Helmholtz equations by applying the boundary integral equation method. [ABSTRACT FROM AUTHOR] |
| Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 176354157 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Krutitskii%2C+P%2E+A%2E%22">Krutitskii, P. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> biem@mail.ru</i><br /><searchLink fieldCode="AR" term="%22Reznichenko%2C+I%2E+O%2E%22">Reznichenko, I. O.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> io.reznichenko@physics.msu.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mathematics+%26+Mathematical+Physics%22">Computational Mathematics & Mathematical Physics</searchLink>. Feb2024, Vol. 64 Issue 2, p188-205. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+solutions+to+boundary+value+problems%22">Numerical solutions to boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Helmholtz+equation%22">Helmholtz equation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A single-layer potential for the Helmholtz equation in the three-dimensional case and a single-layer potential for the Laplace equation are considered. A quadrature rule is derived for the direct value of the normal derivative of the single-layer potential with a continuous density given on a closed or open surface. The quadrature rule provides a much higher accuracy than previously available formulas, which is confirmed by numerical tests. The quadrature rule can be used for the numerical solution of boundary value problems for Laplace and Helmholtz equations by applying the boundary integral equation method. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature 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=176354157 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0965542524020076 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 188 Subjects: – SubjectFull: Numerical solutions to boundary value problems Type: general – SubjectFull: Boundary element methods Type: general – SubjectFull: Helmholtz equation Type: general Titles: – TitleFull: Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Krutitskii, P. A. – PersonEntity: Name: NameFull: Reznichenko, I. O. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 09655425 Numbering: – Type: volume Value: 64 – Type: issue Value: 2 Titles: – TitleFull: Computational Mathematics & Mathematical Physics Type: main |
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