Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools

NICOLA CAVALLINI; OLIVER WEEGER; M. SEBASTIAN PAULETTI; MASSIMILIANO MARTINELLI

Annweiler am Trifels

Conferencia; Isogeometric Analysis and Applications - IGAA 2014; 2014

University of Kaiserslautern

igatools is a newly released library for operators assembly in isogeometric analysis. Thelibrary, which is object oriented designed and written in C++11, is general purpose, therefore it is notdevoted to any specic application. In this paper we show that such a design makes igatools aneective tool in assembling isogeometric discretizations of sophisticated dierential operators. Thiseectiveness will be demonstrated by showing code snippets relating one-to-one with the operatorswritten on paper. To embrace a wide audience, applications from nonlinear incompressible solidand  uid mechanics will be addressed. In both cases we are going to deal with mixed isogeometricformulations. The applicative nature of this paper will be stressed solving industrially relevant testscases.