TY - JOUR T1 - Reduced order isogeometric analysis approach for pdes in parametrized domains JF - Lecture Notes in Computational Science and Engineering Y1 - 2020 A1 - Fabrizio Garotta A1 - Nicola Demo A1 - Marco Tezzele A1 - Massimo Carraturo A1 - Alessandro Reali A1 - Gianluigi Rozza AB -

In this contribution, we coupled the isogeometric analysis to a reduced order modelling technique in order to provide a computationally efficient solution in parametric domains. In details, we adopt the free-form deformation method to obtain the parametric formulation of the domain and proper orthogonal decomposition with interpolation for the computational reduction of the model. This technique provides a real-time solution for any parameter by combining several solutions, in this case computed using isogeometric analysis on different geometrical configurations of the domain, properly mapped into a reference configuration. We underline that this reduced order model requires only the full-order solutions, making this approach non-intrusive. We present in this work the results of the application of this methodology to a heat conduction problem inside a deformable collector pipe.

VL - 137 UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85089615035&doi=10.1007%2f978-3-030-48721-8_7&partnerID=40&md5=7b15836ae65fa28dcfe8733788d7730c ER -