暂无分享,去创建一个
[1] A. Quarteroni,et al. A reduced computational and geometrical framework for inverse problems in hemodynamics , 2013, International journal for numerical methods in biomedical engineering.
[2] Thomas Peters,et al. Data-driven science and engineering: machine learning, dynamical systems, and control , 2019, Contemporary Physics.
[3] Annalisa Quaini,et al. Numerical Approximation of a Control Problem for Advection-Diffusion Processes , 2005, System Modelling and Optimization.
[4] Gianluigi Rozza,et al. POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations , 2020, J. Num. Math..
[5] Gene H. Golub,et al. Numerical solution of saddle point problems , 2005, Acta Numerica.
[6] Annalisa Quaini,et al. Reduced basis methods for optimal control of advection-diffusion problems ∗ , 2007 .
[7] Stefan Ulbrich,et al. Optimization with PDE Constraints , 2008, Mathematical modelling.
[8] G. Rozza,et al. An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics , 2018, 1810.12364.
[9] Joachim Schöberl,et al. Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems , 2007, SIAM J. Matrix Anal. Appl..
[10] Stefan Volkwein,et al. Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems , 2016, ENUMATH.
[11] Steven L. Brunton,et al. Dynamic Mode Decomposition with Control , 2014, SIAM J. Appl. Dyn. Syst..
[12] Gianluigi Rozza,et al. A Certified Reduced Basis Method for Linear Parametrized Parabolic Optimal Control Problems in Space-Time Formulation , 2021, ArXiv.
[13] Steven L. Brunton,et al. Dynamic mode decomposition for compressive system identification , 2017, AIAA Journal.
[14] Gianluigi Rozza,et al. Reduced order methods for parametric optimal flow control in coronary bypass grafts, toward patient‐specific data assimilation , 2019, International journal for numerical methods in biomedical engineering.
[15] Gianluigi Rozza,et al. PyDMD: Python Dynamic Mode Decomposition , 2018, J. Open Source Softw..
[16] Andreas Griewank,et al. Trends in PDE Constrained Optimization , 2014 .
[17] Gianluigi Rozza,et al. Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations , 2015, Comput. Math. Appl..
[18] A. Quarteroni,et al. Numerical modeling of hemodynamics scenarios of patient-specific coronary artery bypass grafts , 2017, Biomechanics and Modeling in Mechanobiology.
[19] Raino A. E. Mäkinen,et al. Introduction to shape optimization - theory, approximation, and computation , 2003, Advances in design and control.
[20] M. C. Delfour,et al. Shapes and Geometries - Metrics, Analysis, Differential Calculus, and Optimization, Second Edition , 2011, Advances in design and control.
[21] Stefan Wendl,et al. Optimal Control of Partial Differential Equations , 2021, Applied Mathematical Sciences.
[22] Karsten Urban,et al. A new error bound for reduced basis approximation of parabolic partial differential equations , 2012 .
[23] Steven L. Brunton,et al. Sparse Identification of Nonlinear Dynamics with Control (SINDYc) , 2016, 1605.06682.
[24] Gianluigi Rozza,et al. POD–Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation , 2020, J. Sci. Comput..
[25] Bülent Karasözen,et al. Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization , 2014, J. Comput. Appl. Math..
[26] Anders Logg,et al. Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book , 2012 .
[27] Martin Stoll,et al. All-at-once solution of time-dependent Stokes control , 2013, J. Comput. Phys..
[28] O. Pironneau,et al. Applied Shape Optimization for Fluids , 2001 .
[29] Stefan Turek,et al. A Space-Time Multigrid Method for Optimal Flow Control , 2012, Constrained Optimization and Optimal Control for Partial Differential Equations.
[30] Karsten Urban,et al. A space-time hp-interpolation-based certified reduced basis method for Burgers' equation , 2014 .
[31] Luca Dedè,et al. Optimal flow control for Navier–Stokes equations: drag minimization , 2007 .
[32] Gianluigi Rozza,et al. Model Reduction for Parametrized Optimal Control Problems in Environmental Marine Sciences and Engineering , 2017, SIAM J. Sci. Comput..
[33] Martin W. Hess,et al. Basic Ideas and Tools for Projection-Based Model Reduction of Parametric Partial Differential Equations , 2019, Snapshot-Based Methods and Algorithms.
[34] Gianluigi Rozza,et al. Shape Optimization by means of Proper Orthogonal Decomposition and Dynamic Mode Decomposition , 2018, 1803.07368.
[35] Steven L. Brunton,et al. Dynamic mode decomposition - data-driven modeling of complex systems , 2016 .
[36] Masayuki Yano,et al. A Space-Time Petrov-Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations , 2014, SIAM J. Sci. Comput..
[37] Joseph Sang-Il Kwon,et al. Development of local dynamic mode decomposition with control: Application to model predictive control of hydraulic fracturing , 2017, Comput. Chem. Eng..
[38] M. Hinze,et al. A Hierarchical Space-Time Solver for Distributed Control of the Stokes Equation , 2008 .
[39] Gianluigi Rozza,et al. Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences , 2019, ENUMATH.
[40] Karsten Urban,et al. Two Ways to Treat Time in Reduced Basis Methods , 2017 .