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A distributed optimal control problem with the constraint of a linear elliptic partial differential equation is considered.
Numerical methods for constrained optimization
P. E. Gill and W. Murray · 1974
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Solution of sparse indefinite systems of linear equations
C. C. Paige and M. A. Saunders · 1975
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Range-space methods for convex quadratic programming
P. E. Gill, N. Gould, W. Murray, M. A. Saunders, and M. H. Wright · 1982
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A weighted Gram-Schmidt method for convex quadratic programming
P. E. Gill, N. I. M. Gould, W. Murray, M. A. Saunders, and M. H. Wright · 1984
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GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
Y. Saad and M. H. Schultz · 1986
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A method of finite element tearing and interconnecting and its parallel solution algorithm
C. Farhat and F. X. Roux · 1991
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Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices
R. W. Freund · 1992
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Preconditioners for indefinite systems arising in optimization
P. E. Gill, W. Murray, D. B. Poncele o ´ \acute{o} n, and M. A. Saunders · 1992
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A new Krylov-subspace method for symmetric indefinite linear systems
R. W. Freund and N. M. Nachtigal · 1994
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Convergence of a substructuring method with lagrange multipliers
J. Mandel and R. Tezaur · 1996
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Constraint preconditioning for indefinite linear systems
C. Keller, N. I. M. Gould, and A. J. Wathen · 2000
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Algebraic multigrid for complex symmetric systems
D. Lahaye, H. De Gersem, S. Vandewalle, and K. Hameyer · 2000
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A note on preconditioning for indefinite linear systems
M. F. Murphy, G. H. Golub, and A. J. Wathen · 2000
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Solving complex-valued linear systems via equivalent real formulations
D. Day and M. A. Heroux · 2001
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FETI-DP: a dual-primal unified FETI method. I. A faster alternative to the two-level FETI method
C. Farhat, M. Lesoinne, P. LeTallec, K. Pierson, and D. Rixen · 2001
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Large-scale PDE-Constrained Optimization: an introduction
L. T. Biegler, O. Ghattas, M. Heinkenschloss, and B. van Bloemen Waanders · 2003
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SQP SAND strategies that link to existing modeling systems
L. T. Biegler and A. Wächter · 2003
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19. a feti-dp corner selection algorithm for three-dimensional problems
M. Lesoinne · 2003
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Algebraic multigrid for complex symmetric matrices and applications
S. Reitzinger, U. Schreiber, and U. Van Rienen · 2003
The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces
P. Avery and C. Farhat · 2009
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Properties of linear systems in PDE-constrained optimization. Part I: Distributed control
H. S. Thorne · 2009
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Properties of linear systems in PDE-constrained optimization. Part II: Neumann boundary control
H. S. Thorne · 2009
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Preconditioning saddle-point systems with applications in optimization
H. S. Dollar, N. I. M. Gould, M. Stoll, and A. J. Wathen · 2010
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Optimal solvers for PDE-constrained optimization
T. Rees, H. S. Dollar, and A. J. Wathen · 2010
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Numerical solution of saddle point problems
M. Benzi, G. H. Golub, and J. Liesen · 2005
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Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part I: The Krylov-Schur Solver
G. Biros and O. Ghattas · 2005
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Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics
H. C. Elman, D. J. Silvester, and A. J. Wathen · 2005
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FETI-DPH: a dual-primal domain decomposition method for acoustic scattering
C. Farhat, P. Avery, R. Tezaur, and J. Li · 2005
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Approximate factorization constraint preconditioners for saddle-point matrics
H. S. Dollar and A. J. Wathen · 2006
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Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems
E. Prudencio, R. Byrd, and X. C. Cai · 2006
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M. Stoll and A. Wathen · 2011
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Simultaneous Analysis and Design in PDE-constrained Optimization
Y. Choi · 2012
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Multigrid solution of a distributed optimal control problem constrained by the Stokes equations
A. Draganescu and A. M. Soane · 2012
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Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems
J. W. Pearson, M. Stoll, and A. J. Wathen · 2012
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A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
J. W. Pearson and A. J. Wathen · 2012
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Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems
V. Simoncini · 2012
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Minimal residual methods for complex symmetric, skew symmetric, and skew hermitian systems
S. C. T. Choi · 2013
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