Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction.
Saved in:
| Title: | Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction. |
|---|---|
| Authors: | Goldbeck, Hauke1 (AUTHOR) hago@tf.uni-kiel.de, Wulfinghoff, Stephan1 (AUTHOR) |
| Source: | International Journal for Numerical Methods in Engineering. 11/30/2025, Vol. 126 Issue 22, p1-14. 14p. |
| Subjects: | Magnetostatics, Multiscale modeling, Reduced-order models, Numerical analysis, Computer simulation |
| Abstract: | The recently published hyper‐reduction method "Empirically Corrected Cluster Cubature" (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations. The influence of the number of snapshots and modes, as well as the number of integration points, is investigated and the set with the best performance is selected, showing hyper‐reduction errors of less than 1%. Exemplary simulations, including a two‐scale simulation are considered illustrating the performance of the E3C method for 3D simulations. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell 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 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 194548329 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Goldbeck%2C+Hauke%22">Goldbeck, Hauke</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hago@tf.uni-kiel.de</i><br /><searchLink fieldCode="AR" term="%22Wulfinghoff%2C+Stephan%22">Wulfinghoff, Stephan</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+Methods+in+Engineering%22">International Journal for Numerical Methods in Engineering</searchLink>. 11/30/2025, Vol. 126 Issue 22, p1-14. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Magnetostatics%22">Magnetostatics</searchLink><br /><searchLink fieldCode="DE" term="%22Multiscale+modeling%22">Multiscale modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Reduced-order+models%22">Reduced-order models</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The recently published hyper‐reduction method "Empirically Corrected Cluster Cubature" (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations. The influence of the number of snapshots and modes, as well as the number of integration points, is investigated and the set with the best performance is selected, showing hyper‐reduction errors of less than 1%. Exemplary simulations, including a two‐scale simulation are considered illustrating the performance of the E3C method for 3D simulations. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell 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=194548329 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/nme.70192 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1 Subjects: – SubjectFull: Magnetostatics Type: general – SubjectFull: Multiscale modeling Type: general – SubjectFull: Reduced-order models Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Computer simulation Type: general Titles: – TitleFull: Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Goldbeck, Hauke – PersonEntity: Name: NameFull: Wulfinghoff, Stephan IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 11 Text: 11/30/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00295981 Numbering: – Type: volume Value: 126 – Type: issue Value: 22 Titles: – TitleFull: International Journal for Numerical Methods in Engineering Type: main |
| ResultId | 1 |
