Open AccessCoupling finite elements and reduced approximation bases
Author(s) -
Amine Ammar,
Etienne Prulière,
Julien Férec,
Francisco Chinesta,
Elías Cueto
Publication year - 2009
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.292
H-Index - 26
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.18.445-463
Subject(s) - degrees of freedom (physics and chemistry) , finite element method , basis (linear algebra) , coupling (piping) , reduction (mathematics) , decomposition , identification (biology) , inverse , computer science , proper orthogonal decomposition , inverse problem , algorithm , mathematics , mathematical optimization , engineering , physics , mechanical engineering , mathematical analysis , structural engineering , geometry , turbulence , botany , quantum mechanics , biology , thermodynamics , ecology
Models encountered in computational physics and engineering, usually involve too many degrees of freedom, too many simulation time-steps, too many iterations (e.g. non-linear models, optimization or inverse identification…), or simply excessive simulation time (for example when simulation in real time is envisaged). In some of our former works different reduction techniques were developed, some of them based on the use of an adaptive proper orthogonal decomposition and the other ones based on the use of separated representations. In this paper we are analyzing the coupling between reduced basis and standard finite element descriptions.