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Data transfer within a finite cell remeshing approach applied to large deformation problems.

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Title: Data transfer within a finite cell remeshing approach applied to large deformation problems.
Authors: Sartorti, Roman1 (AUTHOR) roman.sartorti@tuhh.de, Düster, Alexander1 (AUTHOR) alexander.duester@tuhh.de
Source: Computational Mechanics. Jan2026, Vol. 77 Issue 1, p3-17. 15p.
Subjects: Radial basis functions, Interpolation algorithms, Numerical grid generation (Numerical analysis), Deformations (Mechanics), Elasticity, Iterative methods (Mathematics)
Abstract: The present work is a comparative study of different data transfer techniques in the context of the finite cell method (FCM) in combination with remeshing for hyperelastic problems undergoing large deformations. The FCM is an immersed-boundary method that uses Cartesian grids for the discretization so as to avoid the generation of boundary conforming meshes. To overcome problems with heavily distorted meshes at large deformation states, we apply a remeshing procedure. During the remeshing, the data containing the deformation history has to be transferred between the meshes. In the present study, different methods are considered and compared: radial basis functions without and with polynomial extension, inverse distance weighting, and L 2 -projection applying the shape functions used in the FCM for the trial and test functions. [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.)
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  Data: <searchLink fieldCode="DE" term="%22Radial+basis+functions%22">Radial basis functions</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation+algorithms%22">Interpolation algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+grid+generation+%28Numerical+analysis%29%22">Numerical grid generation (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Deformations+%28Mechanics%29%22">Deformations (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Elasticity%22">Elasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink>
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  Data: The present work is a comparative study of different data transfer techniques in the context of the finite cell method (FCM) in combination with remeshing for hyperelastic problems undergoing large deformations. The FCM is an immersed-boundary method that uses Cartesian grids for the discretization so as to avoid the generation of boundary conforming meshes. To overcome problems with heavily distorted meshes at large deformation states, we apply a remeshing procedure. During the remeshing, the data containing the deformation history has to be transferred between the meshes. In the present study, different methods are considered and compared: radial basis functions without and with polynomial extension, inverse distance weighting, and L 2 -projection applying the shape functions used in the FCM for the trial and test functions. [ABSTRACT FROM AUTHOR]
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  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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        Value: 10.1007/s00466-024-02486-0
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        Text: English
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      – SubjectFull: Radial basis functions
        Type: general
      – SubjectFull: Interpolation algorithms
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      – SubjectFull: Numerical grid generation (Numerical analysis)
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      – SubjectFull: Deformations (Mechanics)
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      – SubjectFull: Elasticity
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      – SubjectFull: Iterative methods (Mathematics)
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              Text: Jan2026
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