RBniCS - reduced order modelling in FEniCS


RBniCS is an implementation in FEniCS of several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for coercive problems. It is ideally suited for an introductory course on reduced basis methods and reduced order modelling, thanks to an object-oriented approach and an intuitive and versatile python interface. To this end, it has been employed in the Doctoral course "Reduced Basis Methods for Computational Mechanics" held at SISSA/ICTP in April 2015 and March 2016, as well as at Politecnico di Torino in November 2015 and at BCAM, Bilbao in January 2016.

RBniCS can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing FEniCS-based software, thanks to the availability of several reduced order methods (such as reduced basis and proper orthogonal decomposition) and algorithms (such as successive constraint method, empirical interpolation method) in the library.

This software is also a companion of the introductory reduced basis handbook:

J. S. Hesthaven, G. Rozza, B. Stamm. Certified Reduced Basis Methods for Parametrized Partial Differential Equations. SpringerBriefs in Mathematics. Springer International Publishing, 2015

Several tutorials are provided. 

RBniCS is freely available under the GNU LGPL, version 3.

RBniCS is currently developed and mantained at SISSA mathLab by