Novel Hdev(Curl)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model.
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| Title: | Novel Hdev(Curl)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model. |
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| Authors: | Sky, Adam1 (AUTHOR) adam.sky@uni.lu, Neunteufel, Michael2 (AUTHOR) mneunteu@pdx.edu, Lewintan, Peter3 (AUTHOR) peter.lewintan@kit.edu, Gourgiotis, Panos4 (AUTHOR) pgourgiotis@mail.ntua.gr, Zilian, Andreas1 (AUTHOR) andreas.zilian@uni.lu, Neff, Patrizio5 (AUTHOR) patrizio.neff@uni-due.de |
| Source: | Computational Mechanics. Aug2025, Vol. 76 Issue 2, p517-539. 23p. |
| Subjects: | Finite element method, Two-dimensional models, Variational approach (Mathematics) |
| Abstract: | In this work we present a consistent reduction of the relaxed micromorphic model to its corresponding two-dimensional planar model, such that its capacity to capture discontinuous dilatation fields is preserved. As a direct consequence of our approach, new conforming finite elements for H dev (Curl , A) become necessary. We present two novel H dev (Curl , A) -conforming finite element spaces, of which one is a macro element based on Clough–Tocher splits, as well as primal and mixed variational formulations of the planar relaxed micromorphic model. Finally, we demonstrate the effectiveness of our approach with two numerical examples. [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: 187535211 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Novel Hdev(Curl)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sky%2C+Adam%22">Sky, Adam</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> adam.sky@uni.lu</i><br /><searchLink fieldCode="AR" term="%22Neunteufel%2C+Michael%22">Neunteufel, Michael</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mneunteu@pdx.edu</i><br /><searchLink fieldCode="AR" term="%22Lewintan%2C+Peter%22">Lewintan, Peter</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> peter.lewintan@kit.edu</i><br /><searchLink fieldCode="AR" term="%22Gourgiotis%2C+Panos%22">Gourgiotis, Panos</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> pgourgiotis@mail.ntua.gr</i><br /><searchLink fieldCode="AR" term="%22Zilian%2C+Andreas%22">Zilian, Andreas</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> andreas.zilian@uni.lu</i><br /><searchLink fieldCode="AR" term="%22Neff%2C+Patrizio%22">Neff, Patrizio</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> patrizio.neff@uni-due.de</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Aug2025, Vol. 76 Issue 2, p517-539. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Two-dimensional+models%22">Two-dimensional models</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+approach+%28Mathematics%29%22">Variational approach (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work we present a consistent reduction of the relaxed micromorphic model to its corresponding two-dimensional planar model, such that its capacity to capture discontinuous dilatation fields is preserved. As a direct consequence of our approach, new conforming finite elements for H dev (Curl , A) become necessary. We present two novel H dev (Curl , A) -conforming finite element spaces, of which one is a macro element based on Clough–Tocher splits, as well as primal and mixed variational formulations of the planar relaxed micromorphic model. Finally, we demonstrate the effectiveness of our approach with two numerical examples. [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/s00466-025-02609-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 517 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Two-dimensional models Type: general – SubjectFull: Variational approach (Mathematics) Type: general Titles: – TitleFull: Novel Hdev(Curl)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sky, Adam – PersonEntity: Name: NameFull: Neunteufel, Michael – PersonEntity: Name: NameFull: Lewintan, Peter – PersonEntity: Name: NameFull: Gourgiotis, Panos – PersonEntity: Name: NameFull: Zilian, Andreas – PersonEntity: Name: NameFull: Neff, Patrizio IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 01787675 Numbering: – Type: volume Value: 76 – Type: issue Value: 2 Titles: – TitleFull: Computational Mechanics Type: main |
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