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PDEOPT : PDE Constrained Optimization
Selected Papers
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A Fast Gradient Projection Method for a Constrained Fractional Optimal Control,
Du, Wang and Liu, JSC, (68) 2016, 1-20
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Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems,
Poisson and convection-diffusion control,
Axelsson, Farouq and Neytcheva, Numerical Algorithms, (73) 2016, 631-663
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Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations,
T. Rees and A. J. Wathen,
SIAM J. Sci. Comput., (33) 2011, 2903--2926.
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Optimal Solvers for PDE-Constrained Optimization,
T. Rees, H. Sue Dollar and A. J. Wathen,
SIAM J. Sci. Comput., (32) 2010, 271--298.
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Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints,
R. Herzog and E. Sachs,
SIAM J. Matrix Anal. Appl., (31) 2010, 2291--2317.
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(Thesis) Preconditioning Iterative Methods for PDE Constrained Optimization,
Tyrone Rees,
University of Oxford, 2010, 197 pp.
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(Report) Properties of linear systems in PDE-constrained optimization. Part I Distributed control,
H. S. Thorne, Rutherford Appleton Laboratory, 2010.
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(Report) Properties of linear systems in PDE-constrained optimization. Part II Neumann boundary control,
H. S. Thorne, Rutherford Appleton Laboratory, 2010.
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Recent Advances in the Analysis of State-constrained Elliptic Optimal Control Problems,
E. Casas and F. Troltzsch,
International Series of Numerical Mathematics, 158 (2009), 57--72.
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Multigrid Methods for PDE Optimization,
Alfio Borzi and Volker Schulz,
SIAM Review, (51) 2009, 361--395.
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(Lecture notes) Optimal Control of PDE,
Peter Philip, 2009, 102 pp.
Books on Optimization of Systems Governed by PDEs
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Trends in PDE Constrained Optimization,
edited by Leugering, et al., Springer, 2014
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Computational Optimization of Systems Governed by Partial Differential Equations,
A. Borzi and V. Schulz, SIAM, 2012
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Optimal Control of Partial Differential Equations: Theory, Methods and Applications,
F. Troltzsch, AMS, 2010
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Optimization with PDE Constraints,
M. Hinze, R. Pinnau, M. Ulbrich, and S. Ulbrich, Springer, 2009.
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Adaptive Finite Element Methods for Optimal Control Governed by PDEs,
Wenbin Liu and Ningning Yan, 科学出版社, 2008
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Model Problems in PDE-Constrained Optimization,
E. Haber and L. Hanson, 2007
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Perspectives in Flow Control and Optimization,
M. D. Gunzburger, SIAM, 2003
- Seminar:
Mathematics of PDE constrained optimization,
Michael Hintermuller, Michael Hinze, Ronald H.W. Hoppe, 2010
Books on Numerical Optimization
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Numerical Optimization,
J. Nocedal and S. J. Wright, Springer, 1999 (comprehensive guide)
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Iterative Methods of Optimization,
C. T. Kelley, SIAM, 1999 (unconstrained, lots of practical advice)
Books on Inverse Problems
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Regularization of Inverse Problems (2nd),
H. Engl, M. Hanke and A. Neubauer, 1996
(classic book on regularization of linear and nonlinear inverse problems)
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Computational Methods for Inverse Problems,
C. R. Vogel, SIAM, 2002
(focus on numerical solution methods, applications mainly in image restoration)
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Nonlinear Least Squares for Inverse Problems,
G. Chavent, Springer, 2009
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