RBniCS swMATH ID: 33333 Software Authors: Francesco Ballarin, Gianluigi Rozza and contributors Description: The RBniCS Project contains an implementation in FEniCS of several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for parametrized 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 several doctoral courses on ”Reduced Basis Methods for Computational Mechanics”. 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. Homepage: https://www.rbnicsproject.org Dependencies: FEniCS; Python3; numpy; scipy Keywords: finite element method; reduced order modelling; reduced basis; FEniCS Related Software: FEniCS; redbKIT; rbMIT; FreeFem++; SyFi; ECLIPSE; MeshIt; GemPy; REDBACK; libMesh; Feel++; DAKOTA; PETSc; Gmsh; Niftysim; modred; IPython; Python; pyMOR; RBmatlab Cited in: 12 Publications Further Publications: https://www.rbnicsproject.org/publications.html all top 5 Cited by 22 Authors 9 Rozza, Gianluigi 7 Ballarin, Francesco 2 Pichi, Federico 2 Strazzullo, Maria 1 Ali, Shafqat 1 Degen, Denise 1 Gunzburger, Max D. 1 Huynh, Dinh Bao Phuong 1 Maday, Yvon 1 Milk, RenĂ© 1 Mosetti, Renzo 1 Rave, Stephan David 1 Schindler, Felix 1 Schneier, Michael 1 Stabile, Giovanni 1 Torlo, Davide 1 Venturi, Luca 1 Veroy, Karen 1 Webster, Clayton G. 1 Wellmann, Florian 1 Zhang, Guannan 1 Zuccarino, Giacomo all top 5 Cited in 6 Serials 4 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 1 Computers & Mathematics with Applications 1 Advances in Computational Mathematics 1 Computational Geosciences 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Cited in 9 Fields 10 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year