Ebrahem, Adnan ; Hiemstra, René R. ; Stoter, Stein K. F. ; Schillinger, Dominik (2023)
Modeling of Growth using an Immersed Finite Element Method.
In: PAMM - Proceedings in Applied Mathematics & Mechanics, 22 (1)
doi: 10.1002/pamm.202200183
Article, Bibliographie
This is the latest version of this item.
Abstract
To prevent remeshing, we explore the use of a non‐boundary‐fitted finite element method for the computational modeling of growth including contact mechanics. Accordingly, we utilize a mesh‐related mapping procedure for the use of implicit geometry description by a level set function within the framework of immersed methods. Hence, our framework provides a setting to include patient‐specific geometries based on imaging data as we use a level set function for the implicit geometry description. In this contribution, we show that the proposed approach is a viable alternative for problems with mesh‐related obstacles, in particular when large growth simulations on complex patient‐specific geometries are of primary interest.
| Item Type: | Article |
|---|---|
| Erschienen: | 2023 |
| Creators: | Ebrahem, Adnan ; Hiemstra, René R. ; Stoter, Stein K. F. ; Schillinger, Dominik |
| Type of entry: | Bibliographie |
| Title: | Modeling of Growth using an Immersed Finite Element Method |
| Language: | English |
| Date: | 2023 |
| Place of Publication: | Darmstadt |
| Publisher: | Wiley-VCH |
| Journal or Publication Title: | PAMM - Proceedings in Applied Mathematics & Mechanics |
| Volume of the journal: | 22 |
| Issue Number: | 1 |
| Collation: | 7 Seiten |
| DOI: | 10.1002/pamm.202200183 |
| Corresponding Links: | |
| Abstract: | To prevent remeshing, we explore the use of a non‐boundary‐fitted finite element method for the computational modeling of growth including contact mechanics. Accordingly, we utilize a mesh‐related mapping procedure for the use of implicit geometry description by a level set function within the framework of immersed methods. Hence, our framework provides a setting to include patient‐specific geometries based on imaging data as we use a level set function for the implicit geometry description. In this contribution, we show that the proposed approach is a viable alternative for problems with mesh‐related obstacles, in particular when large growth simulations on complex patient‐specific geometries are of primary interest. |
| Additional Information: | Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Classification DDC: | 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering |
| Divisions: | 13 Department of Civil and Environmental Engineering Sciences 13 Department of Civil and Environmental Engineering Sciences > Mechanics 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Numerical Mechanics |
| Date Deposited: | 02 Aug 2024 12:52 |
| Last Modified: | 02 Aug 2024 12:52 |
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| Suche nach Titel in: | TUfind oder in Google |
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Modeling of Growth using an Immersed Finite Element Method. (deposited 12 May 2023 08:49)
- Modeling of Growth using an Immersed Finite Element Method. (deposited 02 Aug 2024 12:52) [Currently Displayed]
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