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stability and extension of reduced-order Galerkin models in incompressible ows, The- oretical and Computational Fluid Dynamics, vol. 23, no. 3, pp. 213-237, 2009. 13. S. Lorenzi, A. Cammi, L. Luzzi, and G. Rozza, POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations, Computer Methods in Applied Mechanics and Engineering, vol. 311, pp. 151 - 179, 2016. 14. M. Bergmann, C.-H. Bruneau, and A. Iollo, Enablers for robust POD models, Journal of Computational Physics, vol. 228, no. 2, pp. 516-538, 2009. 15. K. Kunisch and S. Volkwein, Galerkin

Santo, S. Deparis, A. Manzoni, and A. Quarteroni, An algebraic least squares reduced basis method for the solution of parametrized Stokes equations, tech. rep., Mathicse 21, 2017. 20. F. Ballarin, A. Manzoni, A. Quarteroni, and G. Rozza, Supremizer stabilization of POD- Galerkin approximation of parametrized steady incompressible Navier-Stokes equations, International Journal for Numerical Methods in Engineering, vol. 102, no. 5, pp. 1136-1161, 2015.

chromatography, International Journal for Numerical Methods in Engineering , vol. 104, no. 11, pp. 983–1007, 2015. 10. K. Kunisch and S. Volkwein, Proper orthogonal decomposition for optimality systems, ESAIM: Mathematical Modelling and Numerical Analysis , vol. 42, no. 1, pp. 1–23, 2008. 11. M. Kahlbacher and S. Volkwein, Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems, Disc. Math.: Diff. Incl., Control and Optim. , vol. 27, pp. 95–117, 2007. 12. E. W. Sachs and S. Volkwein, Pod-Galerkin approximations in pde