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[1] F. Battaglia,et al. Bifurcation of Low Reynolds Number Flows in Symmetric Channels , 1996 .
[2] Krishnamurthy Jayaraman,et al. Asymmetric flows in planar symmetric channels with large expansion ratio , 2002 .
[3] van Eh Harald Brummelen,et al. A monolithic approach to fluid–structure interaction , 2004 .
[4] J. Rappaz,et al. Numerical analysis for nonlinear and bifurcation problems , 1997 .
[5] H. H. Fernholz,et al. Report on the first European Mechanics Colloquium, on the Coanda effect , 1965, Journal of Fluid Mechanics.
[6] Zhaosheng Yu. A DLM/FD method for fluid/flexible-body interactions , 2005 .
[7] H. K. Moffatt. Viscous and resistive eddies near a sharp corner , 1964, Journal of Fluid Mechanics.
[8] Annalisa Quaini,et al. Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel , 2016 .
[9] Gianluigi Rozza,et al. Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations , 2015 .
[10] A. Quarteroni. Numerical Models for Differential Problems , 2009 .
[11] Gianluigi Rozza,et al. On the Application of Reduced Basis Methods to Bifurcation Problems in Incompressible Fluid Dynamics , 2017, J. Sci. Comput..
[12] P. Drazin,et al. Bifurcations of two-dimensional channel flows , 1986, Journal of Fluid Mechanics.
[13] Claudio Canuto,et al. Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method , 2021, Adv. Comput. Math..
[14] F. Durst,et al. Asymmetric flows and instabilities in symmetric ducts with sudden expansions , 1978, Journal of Fluid Mechanics.
[15] Jiaqiong Xu,et al. Three-dimensional color Doppler echocardiography for direct measurement of vena contracta area in mitral regurgitation: in vitro validation and clinical experience. , 2008, JACC. Cardiovascular imaging.
[16] Jan Vierendeels,et al. Stability of a coupling technique for partitioned solvers in FSI applications , 2008 .
[17] J. Mizushima,et al. Transitions and instabilities of flow in a symmetric channel with a suddenly expanded and contracted part , 2001, Journal of Fluid Mechanics.
[18] Gianluigi Rozza,et al. Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction , 2020, ArXiv.
[19] Victor Mor-Avi,et al. A three-dimensional insight into the complexity of flow convergence in mitral regurgitation: adjunctive benefit of anatomic regurgitant orifice area. , 2011, American journal of physiology. Heart and circulatory physiology.
[20] A. Quarteroni,et al. Reduced Basis Methods for Partial Differential Equations: An Introduction , 2015 .
[21] Gianluigi Rozza,et al. A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems , 2021, Fluids.
[22] Pascal Verdonck,et al. In Vitro Flow Modelling for Mitral Valve Leakage Quantification , 2009 .
[23] R. Levine,et al. American Society of Echocardiography: recommendations for evaluation of the severity of native valvular regurgitation with two-dimensional and Doppler echocardiography , 2003 .
[24] D. Drikakis. Bifurcation phenomena in incompressible sudden expansion flows , 1997 .
[25] A. Chatterjee. An introduction to the proper orthogonal decomposition , 2000 .
[26] Luca Faust,et al. Physical Fluid Dynamics , 2016 .
[27] A. Cohen,et al. Model Reduction and Approximation: Theory and Algorithms , 2017 .
[28] Gianluigi Rozza,et al. Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations , 2018, Journal of Scientific Computing.
[29] Gianluigi Rozza,et al. POD–Galerkin monolithic reduced order models for parametrized fluid‐structure interaction problems , 2016 .
[30] Gianluigi Rozza,et al. Reduced-order semi-implicit schemes for fluid-structure interaction problems , 2017, 1711.10829.
[31] T. Mullin,et al. Nonlinear flow phenomena in a symmetric sudden expansion , 1990, Journal of Fluid Mechanics.
[32] Zvi Rusak,et al. The dynamics of a laminar flow in a symmetric channel with a sudden expansion , 2001, Journal of Fluid Mechanics.
[33] Annalisa Quaini,et al. Reduced basis model order reduction for Navier–Stokes equations in domains with walls of varying curvature , 2019, International Journal of Computational Fluid Dynamics.
[34] J. Halleux,et al. An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .
[35] Gianluigi Rozza,et al. An artificial neural network approach to bifurcating phenomena in computational fluid dynamics , 2021, Computers & Fluids.
[36] Annalisa Quaini,et al. Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology , 2017, J. Comput. Phys..
[37] Annalisa Quaini,et al. A Reduced Order technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation , 2019, ArXiv.
[38] D. Degani,et al. Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels , 1990 .
[39] A. Quarteroni,et al. Numerical Approximation of Partial Differential Equations , 2008 .
[40] Simon W. Funke,et al. Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations , 2014, SIAM J. Sci. Comput..
[41] J. Hesthaven,et al. Certified Reduced Basis Methods for Parametrized Partial Differential Equations , 2015 .
[42] Antonio Ambrosetti,et al. Nonlinear Analysis and Semilinear Elliptic Problems , 2007 .
[43] F. Brezzi,et al. Finite dimensional approximation of nonlinear problems , 1981 .
[44] P. G. Ciarlet,et al. Linear and Nonlinear Functional Analysis with Applications , 2013 .
[45] Annalisa Quaini,et al. A localized reduced-order modeling approach for PDEs with bifurcating solutions , 2018, Computer Methods in Applied Mechanics and Engineering.