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Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools

Cavallini, Nicola ; Weeger, Oliver ; Pauletti, M. Sebastian ; Martinelli, Massimiliano ; Antolín, Pablo Simeon, Bernd ; Jüttler, Bert

Isogeometric Analysis and Applications 2014, 2015, Vol.107, p.209-230 [Periódico revisado por pares]

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Título:
Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools
Autor: Cavallini, Nicola ; Weeger, Oliver ; Pauletti, M. Sebastian ; Martinelli, Massimiliano ; Antolín, Pablo
Simeon, Bernd ; Jüttler, Bert
Assuntos: Code Snippet ; Computer-aided design (CAD) ; Global Matrix ; Infinite series ; Isogeometric Analysis ; Maths for engineers ; Mixed Element ; Template Parameter
É parte de: Isogeometric Analysis and Applications 2014, 2015, Vol.107, p.209-230
Descrição: 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.
Títulos relacionados: Lecture Notes in Computational Science and Engineering
Editor: Switzerland: Springer International Publishing AG
Idioma: Inglês

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