Contributo in atti di convegno, 2015, ENG, 10.1007/978-3-319-23315-4_9

Effective integration of sophisticated operators in isogeometric analysis with igatools

N. Cavallini, O. Weeger, M.S. Pauletti, M. Martinelli, and P. Antolin

Scuola Internazionale Superiore di Studi Avanzati, Via Bonomea 265, Trieste, Italy; TU Kaiserslautern, P.O. Box 3049, Kaiserslautern, 67653, Germany; Instituto de Matemática Aplicada del Litoral (IMAL), Consejo Nacional de Investigaciones científicas y técnicas (CONICET), Santa Fe, Argentina; Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI), Consiglio Nazionale delle Ricerche (CNR), Pavia, Italy; Dipartimento di Ingegneria Civile ed Architettura, Università degli Studi di Pavia, Via Ferrata 3, Pavia, 27100, Italy

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.

International Conference on Isogeometric Analysis and Applications, IGAA 2014, pp. 209–230, Annweiler,Germany, 7-10 Aprile 2014

Keywords

Fluid mechanics; Mathematical operators Differential operators; Discretizations; Effective tool; Incompressible solids; Isogeometric analysis; Object oriented

CNR authors

Pauletti Miguel Sebastian, Antolin Sanchez Pablo, Martinelli Massimiliano

CNR institutes

IMATI – Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes"