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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. (Postprint)
In: Lecture Notes in Computational Science and Engineering, 107, In: Isogeometric Analysis and Applications 2014,
Darmstadt, Springer, Isogeometric Analysis and Applications - IGAA 2014, Annweiler am Trifels, 7. - 10. April 2014, ISSN 1439-7358, e-ISSN 2197-7100, ISBN 978-3-319-23315-4,
DOI: 10.26083/tuprints-00019816,
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Item Type: Conference or Workshop Item
Origin: Secondary publication service
Status: Postprint
Title: Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools
Language: English
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.

Title of Book: Isogeometric Analysis and Applications 2014
Series Name: Lecture Notes in Computational Science and Engineering
Volume: 107
Place of Publication: Darmstadt
Publisher: Springer
Collation: 20 Seiten
Classification DDC: 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Event Title: Isogeometric Analysis and Applications - IGAA 2014
Event Location: Annweiler am Trifels
Event Dates: 7. - 10. April 2014
Date Deposited: 06 Jan 2022 13:14
Last Modified: 06 Jan 2022 13:15
DOI: 10.26083/tuprints-00019816
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-198165
Additional Information:

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

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19816
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