Cavillini, Nicola ; Weeger, Oliver ; Pauletti, M. Sebastian ; Martinelli, Massimiliano ; Antolín, Pablo (2022)
Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools.
Isogeometric Analysis and Applications - IGAA 2014. Annweiler am Trifels (07.04.2014-10.04.2014)
doi: 10.26083/tuprints-00019816
Konferenzveröffentlichung, Zweitveröffentlichung, Postprint
 | Es ist eine neuere Version dieses Eintrags verfügbar. |
Kurzbeschreibung (Abstract)
igatools is a newly released library for operators assembly in isogeometric analysis. The library, which is object oriented designed and written in C++11, is general purpose, therefore it is not devoted to any specific application. In this paper we show that such a design makes igatools an effective tool in assembling isogeometric discretizations of sophisticated differential operators. This effectiveness will be demonstrated showing code snippets relating one-to-one with the operators written on paper. To embrace a wide audience, applications from nonlinear incompressible solid and fluid mechanics will be addressed. In both cases we are going to deal with mixed isogeometric formulations. The applicative nature of this paper will be stressed solving industrially relevant tests cases.
| Typ des Eintrags: | Konferenzveröffentlichung |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Cavillini, Nicola ; Weeger, Oliver ; Pauletti, M. Sebastian ; Martinelli, Massimiliano ; Antolín, Pablo |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2015 |
| Verlag: | Springer |
| Buchtitel: | Isogeometric Analysis and Applications 2014 |
| Reihe: | Lecture Notes in Computational Science and Engineering |
| Band einer Reihe: | 107 |
| Kollation: | 20 Seiten |
| Veranstaltungstitel: | Isogeometric Analysis and Applications - IGAA 2014 |
| Veranstaltungsort: | Annweiler am Trifels |
| Veranstaltungsdatum: | 07.04.2014-10.04.2014 |
| DOI: | 10.26083/tuprints-00019816 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/19816 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichungsservice |
| Kurzbeschreibung (Abstract): | igatools is a newly released library for operators assembly in isogeometric analysis. The library, which is object oriented designed and written in C++11, is general purpose, therefore it is not devoted to any specific application. In this paper we show that such a design makes igatools an effective tool in assembling isogeometric discretizations of sophisticated differential operators. This effectiveness will be demonstrated showing code snippets relating one-to-one with the operators written on paper. To embrace a wide audience, applications from nonlinear incompressible solid and fluid mechanics will be addressed. In both cases we are going to deal with mixed isogeometric formulations. The applicative nature of this paper will be stressed solving industrially relevant tests cases. |
| Status: | Postprint |
| URN: | urn:nbn:de:tuda-tuprints-198165 |
| Zusätzliche Informationen: | Keywords: Isogeometric Analysis, Mixed Element, Code Snippet, Global Matrix, Template Parameter |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet Cyber-Physische Simulation (CPS) |
| Hinterlegungsdatum: | 06 Jan 2022 13:14 |
| Letzte Änderung: | 07 Jan 2022 08:13 |
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- Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools. (deposited 06 Jan 2022 13:14) [Gegenwärtig angezeigt]
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