暂无分享,去创建一个
[1] S. Ravindran,et al. A Reduced-Order Method for Simulation and Control of Fluid Flows , 1998 .
[2] C. Farhat,et al. Efficient non‐linear model reduction via a least‐squares Petrov–Galerkin projection and compressive tensor approximations , 2011 .
[3] Anthony T. Patera,et al. 10. Certified Rapid Solution of Partial Differential Equations for Real-Time Parameter Estimation and Optimization , 2007 .
[4] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .
[5] Charbel Farhat,et al. Aeroelastic Dynamic Analysis of a Full F-16 Configuration for Various Flight Conditions , 2003 .
[6] Robert H. Halstead,et al. Matrix Computations , 2011, Encyclopedia of Parallel Computing.
[7] A. Quarteroni,et al. Shape optimization for viscous flows by reduced basis methods and free‐form deformation , 2012 .
[8] Charbel Farhat,et al. Toward Real-Time Computational-Fluid-Dynamics-Based Aeroelastic Computations Using a Database of Reduced-Order Information , 2010 .
[9] Jill P. Reese,et al. Projected Pseudotransient Continuation , 2008, SIAM J. Numer. Anal..
[10] G. Rozza,et al. Model Order Reduction by geometrical parametrization for shape optimization in computational fluid dynamics , 2010 .
[11] E. Sachs,et al. Trust-region proper orthogonal decomposition for flow control , 2000 .
[12] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[13] Anthony T. Patera,et al. Approximation of Parametric Derivatives by the Empirical Interpolation Method , 2013, Found. Comput. Math..
[14] M. Brand,et al. Fast low-rank modifications of the thin singular value decomposition , 2006 .
[15] Stefan Ulbrich,et al. Optimization with PDE Constraints , 2008, Mathematical modelling.
[16] C. Farhat,et al. Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy‐based mesh sampling and weighting for computational efficiency , 2014 .
[17] Gianluigi Rozza,et al. Reduced Order Methods for Modeling and Computational Reduction , 2013 .
[18] Max Gunzburger,et al. Perspectives in flow control and optimization , 1987 .
[19] A Samareh Jamshid,et al. A Survey of Shape Parameterization Techniques , 1999 .
[20] Stefan Volkwein,et al. Proper orthogonal decomposition for optimality systems , 2008 .
[21] Christian B Allen,et al. 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference , 2008 .
[22] Karen Willcox,et al. Parametric reduced-order models for probabilistic analysis of unsteady aerodynamic applications , 2007 .
[23] Joaquim R. R. A. Martins,et al. pyOpt: a Python-based object-oriented framework for nonlinear constrained optimization , 2011, Structural and Multidisciplinary Optimization.
[24] Anthony T. Patera,et al. Reduced basis approximation and a posteriori error estimation for stress intensity factors , 2007 .
[25] N. Nguyen,et al. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations , 2004 .
[26] Michael J. Aftosmis,et al. Parametric Deformation of Discrete Geometry for Aerodynamic Shape Design , 2012 .
[27] Lawrence Sirovich,et al. Karhunen–Loève procedure for gappy data , 1995 .
[28] Bogdan I. Epureanu,et al. A parametric analysis of reduced order models of viscous flows in turbomachinery , 2003 .
[29] C. Farhat,et al. A low‐cost, goal‐oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems , 2011 .
[30] Charbel Farhat,et al. A method for interpolating on manifolds structural dynamics reduced‐order models , 2009 .
[31] Karl Meerbergen,et al. Accelerating Optimization of Parametric Linear Systems by Model Order Reduction , 2013, SIAM J. Optim..
[32] David E. Keyes,et al. Parallel Algorithms for PDE-Constrained Optimization , 2006, Parallel Processing for Scientific Computing.
[33] Charbel Farhat,et al. Reduced-order fluid/structure modeling of a complete aircraft configuration , 2006 .
[34] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[35] Charbel Farhat,et al. Adaptation of Aeroelastic Reduced-Order Models and Application to an F-16 Configuration , 2007 .
[36] C. Kelley,et al. Convergence Analysis of Pseudo-Transient Continuation , 1998 .
[37] Charbel Farhat,et al. Sensitivity analysis and design optimization of three‐dimensional non‐linear aeroelastic systems by the adjoint method , 2003 .
[38] A. T. Patera,et al. Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations , 2007 .
[39] S. S. Ravindran,et al. Reduced-Order Adaptive Controllers for Fluid Flows Using POD , 2000, J. Sci. Comput..
[40] Charbel Farhat,et al. A Compact Proper Orthogonal Decomposition Basis for Optimization-Oriented Reduced-Order Models , 2008 .
[41] G. Rozza,et al. Parametric free-form shape design with PDE models and reduced basis method , 2010 .
[42] A. Hay,et al. Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition , 2009, Journal of Fluid Mechanics.
[43] D. Ryckelynck,et al. A priori hyperreduction method: an adaptive approach , 2005 .
[44] Bernard Haasdonk,et al. Certified Nonlinear Parameter Optimization with Reduced Basis Surrogate Models , 2013 .
[45] Gerald E. Farin,et al. Curves and surfaces for computer-aided geometric design - a practical guide, 4th Edition , 1997, Computer science and scientific computing.
[46] Michael A. Saunders,et al. SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2002, SIAM J. Optim..
[47] V. Rich. Personal communication , 1989, Nature.
[48] Charbel Farhat,et al. Construction of Parametrically-Robust CFD-Based Reduced-Order Models for PDE-Constrained Optimization , 2013 .
[49] L. Cordier,et al. Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model , 2005 .
[50] K. Afanasiev,et al. Adaptive Control Of A Wake Flow Using Proper Orthogonal Decomposition1 , 2001 .
[51] Charbel Farhat,et al. Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems , 2012 .
[52] A. Patera,et al. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations , 2007 .
[53] Charbel Farhat,et al. Nonlinear Model Reduction for CFD Problems Using Local Reduced Order Bases , 2012 .
[54] Charbel Farhat,et al. The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows , 2012, J. Comput. Phys..
[55] C. Farhat,et al. Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity , 2008 .
[56] David Keyes,et al. Projected Pseudo-Transient Continuation , 2007 .
[57] Karen Willcox,et al. Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space , 2008, SIAM J. Sci. Comput..
[58] Michael Hinze,et al. Model Order Reduction for Networks of ODE and PDE Systems , 2011, System Modelling and Optimization.
[59] Danny C. Sorensen,et al. Nonlinear Model Reduction via Discrete Empirical Interpolation , 2010, SIAM J. Sci. Comput..
[60] Juan J. Alonso,et al. Airfoil design optimization using reduced order models based on proper orthogonal decomposition , 2000 .
[61] Stefan Volkwein,et al. Greedy Sampling Using Nonlinear Optimization , 2014 .
[62] Bernard Haasdonk,et al. Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems , 2015, Comput. Optim. Appl..
[63] M. Imam. Three‐dimensional shape optimization , 1982 .