Reduced Order Modelling Approaches to PDE-Constrained Optimization Based on Proper Orthogonal Decomposition
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[1] C. Eckart,et al. The approximation of one matrix by another of lower rank , 1936 .
[2] J. Lumley. Coherent Structures in Turbulence , 1981 .
[3] Jorge J. Moré,et al. Recent Developments in Algorithms and Software for Trust Region Methods , 1982, ISMP.
[4] Martin Grötschel,et al. Mathematical Programming The State of the Art, XIth International Symposium on Mathematical Programming, Bonn, Germany, August 23-27, 1982 , 1983, ISMP.
[5] P. Toint. Global Convergence of a a of Trust-Region Methods for Nonconvex Minimization in Hilbert Space , 1988 .
[6] R. Carter. On the global convergence of trust region algorithms using inexact gradient information , 1991 .
[7] Raphael T. Haftka,et al. Sensitivity-based scaling for approximating. Structural response , 1993 .
[8] P. Holmes,et al. Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .
[9] Wr Graham,et al. Active flow control using a reduced order model and optimum control , 1996 .
[10] J. Burns,et al. A PDE Sensitivity Equation Method for Optimal Aerodynamic Design , 1997 .
[11] N. M. Alexandrov,et al. A trust-region framework for managing the use of approximation models in optimization , 1997 .
[12] Harvey Thomas Banks,et al. Evaluation of Material Integrity Using Reduced Order Computational Methodology , 1999 .
[13] E. Sachs,et al. Trust-region proper orthogonal decomposition for flow control , 2000 .
[14] Stefan Volkwein,et al. Galerkin proper orthogonal decomposition methods for parabolic problems , 2001, Numerische Mathematik.
[15] S. Volkwein,et al. Nonlinear Boundary Control for the Heat Equation Utilizing Proper Orthogonal Decomposition , 2001 .
[16] H. Tran,et al. Proper Orthogonal Decomposition for Flow Calculations and Optimal Control in a Horizontal CVD Reactor , 2002 .