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
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2023 |
| Autor(en): | Ebrahem, Adnan ; Hiemstra, René R. ; Stoter, Stein K. F. ; Schillinger, Dominik |
| Art des Eintrags: | Bibliographie |
| Titel: | Modeling of Growth using an Immersed Finite Element Method |
| Sprache: | Englisch |
| Publikationsjahr: | 2023 |
| Ort: | Darmstadt |
| Verlag: | Wiley-VCH |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM - Proceedings in Applied Mathematics & Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 22 |
| (Heft-)Nummer: | 1 |
| Kollation: | 7 Seiten |
| DOI: | 10.1002/pamm.202200183 |
| Zugehörige Links: | |
| Kurzbeschreibung (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. |
| Zusätzliche Informationen: | Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Numerische Mechanik |
| Hinterlegungsdatum: | 02 Aug 2024 12:52 |
| Letzte Änderung: | 02 Aug 2024 12:52 |
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Verfügbare Versionen dieses Eintrags
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Modeling of Growth using an Immersed Finite Element Method. (deposited 12 Mai 2023 08:49)
- Modeling of Growth using an Immersed Finite Element Method. (deposited 02 Aug 2024 12:52) [Gegenwärtig angezeigt]
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