Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries.
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| Title: | Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries. |
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| Authors: | Ma, H.1 hangma@staff.shu.edu.cn, Qin, Q.-H.2 Qinghua.Qin@ANU.EDU.AU |
| Source: | Computational Mechanics. Jul2005, Vol. 36 Issue 1, p21-33. 13p. |
| Subjects: | Geometry problems & exercises, Boundary element methods, Algorithms, Numerical analysis, Mathematics, Geometry |
| Abstract: | Based on the interpolation technique with the aid of boundary integral equations, a new differential quadrature method has been developed (boundary integral equation supported differential quadrature method, BIE-DQM) to solve boundary value problems over generally irregular geometries. The quadrature rule of the BIE-DQM is that the first and the second derivatives of a function with respect to independent variables are approximated by a weighted linear combination of the function values at all discrete nodal points and the corresponding normal derivatives at all boundary points. Several numerical examples are considered to verify the feasibility and effectiveness of the proposed algorithm. [ABSTRACT FROM AUTHOR] |
| Copyright of Computational Mechanics 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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| Items | – Name: Title Label: Title Group: Ti Data: Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ma%2C+H%2E%22">Ma, H.</searchLink><relatesTo>1</relatesTo><i> hangma@staff.shu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Qin%2C+Q%2E-H%2E%22">Qin, Q.-H.</searchLink><relatesTo>2</relatesTo><i> Qinghua.Qin@ANU.EDU.AU</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Jul2005, Vol. 36 Issue 1, p21-33. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Geometry+problems+%26+exercises%22">Geometry problems & exercises</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Based on the interpolation technique with the aid of boundary integral equations, a new differential quadrature method has been developed (boundary integral equation supported differential quadrature method, BIE-DQM) to solve boundary value problems over generally irregular geometries. The quadrature rule of the BIE-DQM is that the first and the second derivatives of a function with respect to independent variables are approximated by a weighted linear combination of the function values at all discrete nodal points and the corresponding normal derivatives at all boundary points. Several numerical examples are considered to verify the feasibility and effectiveness of the proposed algorithm. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mechanics 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00466-004-0639-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 21 Subjects: – SubjectFull: Geometry problems & exercises Type: general – SubjectFull: Boundary element methods Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Geometry Type: general Titles: – TitleFull: Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ma, H. – PersonEntity: Name: NameFull: Qin, Q.-H. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2005 Type: published Y: 2005 Identifiers: – Type: issn-print Value: 01787675 Numbering: – Type: volume Value: 36 – Type: issue Value: 1 Titles: – TitleFull: Computational Mechanics Type: main |
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