A Novel Primal-mixed Finite Element Approach for Heat Transfer in Solids.
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| Title: | A Novel Primal-mixed Finite Element Approach for Heat Transfer in Solids. |
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| Authors: | Mijuca, D.1 dmijuca@matf.bg.ac.yu, Žiberna, A.1, Medjo, B.1 |
| Source: | Computational Mechanics. Apr2007, Vol. 39 Issue 4, p367-379. 13p. 1 Diagram, 3 Charts, 15 Graphs. |
| Subjects: | Heat transfer, Finite element method data processing, Thermal properties of solids, Heat flux, Temperature effect, Smoothing (Numerical analysis) |
| Abstract: | A new reliable primal–mixed finite element approach for the heat transfer analysis in solids, is examined in detail. The essential contribution is that both variables of interest, temperature and heat flux, are calculated simultaneously from the same system of finite element equations. In addition, as a novelty, continuity of the trial and test heat flux functions is enforced, to avoid the need for some a posteriori heat flux smoothing technique. In order to minimize the accuracy error and enable introduction of the flux constraints, tensorial character of the present finite element equations is fully respected. The proposed finite element is subjected to low and high order convergence and efficiency tests in steady state and transient heat transfer analysis, which enlighten its solvability, stability, accuracy and effectiveness, i.e. its reliability. [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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| Header | DbId: egs DbLabel: Engineering Source An: 23635584 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Novel Primal-mixed Finite Element Approach for Heat Transfer in Solids. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mijuca%2C+D%2E%22">Mijuca, D.</searchLink><relatesTo>1</relatesTo><i> dmijuca@matf.bg.ac.yu</i><br /><searchLink fieldCode="AR" term="%22Žiberna%2C+A%2E%22">Žiberna, A.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Medjo%2C+B%2E%22">Medjo, B.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Apr2007, Vol. 39 Issue 4, p367-379. 13p. 1 Diagram, 3 Charts, 15 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method+data+processing%22">Finite element method data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+properties+of+solids%22">Thermal properties of solids</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+flux%22">Heat flux</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature+effect%22">Temperature effect</searchLink><br /><searchLink fieldCode="DE" term="%22Smoothing+%28Numerical+analysis%29%22">Smoothing (Numerical analysis)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A new reliable primal–mixed finite element approach for the heat transfer analysis in solids, is examined in detail. The essential contribution is that both variables of interest, temperature and heat flux, are calculated simultaneously from the same system of finite element equations. In addition, as a novelty, continuity of the trial and test heat flux functions is enforced, to avoid the need for some a posteriori heat flux smoothing technique. In order to minimize the accuracy error and enable introduction of the flux constraints, tensorial character of the present finite element equations is fully respected. The proposed finite element is subjected to low and high order convergence and efficiency tests in steady state and transient heat transfer analysis, which enlighten its solvability, stability, accuracy and effectiveness, i.e. its reliability. [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/s00466-006-0034-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 367 Subjects: – SubjectFull: Heat transfer Type: general – SubjectFull: Finite element method data processing Type: general – SubjectFull: Thermal properties of solids Type: general – SubjectFull: Heat flux Type: general – SubjectFull: Temperature effect Type: general – SubjectFull: Smoothing (Numerical analysis) Type: general Titles: – TitleFull: A Novel Primal-mixed Finite Element Approach for Heat Transfer in Solids. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mijuca, D. – PersonEntity: Name: NameFull: Žiberna, A. – PersonEntity: Name: NameFull: Medjo, B. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2007 Type: published Y: 2007 Identifiers: – Type: issn-print Value: 01787675 Numbering: – Type: volume Value: 39 – Type: issue Value: 4 Titles: – TitleFull: Computational Mechanics Type: main |
| ResultId | 1 |
