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Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools

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 (7. - 10. April 2014)
doi: 10.26083/tuprints-00019816
Conference or Workshop Item, Secondary publication, Postprint

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Item Type: Conference or Workshop Item
Type of entry: Secondary publication
Title: Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools
Language: English
Date: 2022
Place of Publication: Darmstadt
Publisher: Springer
Book Title: Isogeometric Analysis and Applications 2014
Series: Lecture Notes in Computational Science and Engineering
Series Volume: 107
Collation: 20 Seiten
Event Title: Isogeometric Analysis and Applications - IGAA 2014
Event Location: Annweiler am Trifels
Event Dates: 7. - 10. April 2014
DOI: 10.26083/tuprints-00019816
Corresponding Links:
Origin: Secondary publication service
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
Additional Information:

Keywords: Isogeometric Analysis, Mixed Element, Code Snippet, Global Matrix, Template Parameter

Classification DDC: 600 Technology, medicine, applied sciences > 600 Technology
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 06 Jan 2022 13:14
Last Modified: 15 Mar 2023 12:17
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19816
PPN: 490509320
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