-
1
-
-
0036853826
-
Error estimates for the numerical approximation of a semilinear elliptic control problem
-
N. Arada, E. Casas and F. Tröltzsch, Error estimates for the numerical approximation of a semilinear elliptic control problem, Comput. Optim. Appl. 23 (2002) 201-229.
-
(2002)
Comput. Optim. Appl
, vol.23
, pp. 201-229
-
-
Arada, N.1
Casas, E.2
Tröltzsch, F.3
-
2
-
-
0033184109
-
Optimal control problems with partially polyhedric constraints
-
J. Bonnans and H. Zidani, Optimal control problems with partially polyhedric constraints, SIAM J. Control Optim. 37 (1999) 1726-1741.
-
(1999)
SIAM J. Control Optim
, vol.37
, pp. 1726-1741
-
-
Bonnans, J.1
Zidani, H.2
-
3
-
-
21244505258
-
Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints
-
E. Casas, Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints, ESAIM: COCV 8 (2002) 345-374.
-
(2002)
ESAIM: COCV
, vol.8
, pp. 345-374
-
-
Casas, E.1
-
4
-
-
0036403306
-
Second order optimality conditions for semilinear elliptic control problems with finitely many state constraints
-
E. Casas and M. Mateos, Second order optimality conditions for semilinear elliptic control problems with finitely many state constraints, SIAM J. Control Optim. 40 (2002) 1431-1454.
-
(2002)
SIAM J. Control Optim
, vol.40
, pp. 1431-1454
-
-
Casas, E.1
Mateos, M.2
-
5
-
-
21144450333
-
Uniform convergence of the FEM. Applications to state constrained control problems
-
E. Casas and M. Mateos, Uniform convergence of the FEM. Applications to state constrained control problems, Comput. Appl. Math. 21 (2002) 67-100.
-
(2002)
Comput. Appl. Math
, vol.21
, pp. 67-100
-
-
Casas, E.1
Mateos, M.2
-
6
-
-
21144435790
-
Error estimates for the numerical approximation of boundary semilinear elliptic control problems
-
to appear
-
E. Casas, M. Mateos and F. Tröltzsch, Error estimates for the numerical approximation of boundary semilinear elliptic control problems, Comput. Optim. Appl. (to appear).
-
Comput. Optim. Appl
-
-
Casas, E.1
Mateos, M.2
Tröltzsch, F.3
-
8
-
-
0038473979
-
Second order necessary and sufficient optimality conditions for optimization problems and applications to control theory
-
E. Casas and F. Tröltzsch, Second order necessary and sufficient optimality conditions for optimization problems and applications to control theory, SIAM J. Optim. 13 (2002) 406-431.
-
(2002)
SIAM J. Optim
, vol.13
, pp. 406-431
-
-
Casas, E.1
Tröltzsch, F.2
-
10
-
-
0035605971
-
The Euler approximation in state constrained optimal control
-
A. Dontchev and W. Hager, The Euler approximation in state constrained optimal control, Math. Comput. 70 (2000) 173-203.
-
(2000)
Math. Comput
, vol.70
, pp. 173-203
-
-
Dontchev, A.1
Hager, W.2
-
11
-
-
0034453343
-
Second-order Runge-Kutta approximations in constrained optimal control
-
A. Dontchev and W. Hager, Second-order Runge-Kutta approximations in constrained optimal control, SIAM J. Numer. Anal. 38 (2000) 202-226.
-
(2000)
SIAM J. Numer. Anal
, vol.38
, pp. 202-226
-
-
Dontchev, A.1
Hager, W.2
-
12
-
-
0002491694
-
Approximation of a class of optimal control problems with order of convergence estimates
-
R. Falk, Approximation of a class of optimal control problems with order of convergence estimates, J. Math. Anal. Appl. 44 (1973) 28-47.
-
(1973)
J. Math. Anal. Appl
, vol.44
, pp. 28-47
-
-
Falk, R.1
-
13
-
-
0000238396
-
On the approximation of the solution of an optimal control problem governed by an elliptic equation
-
T. Geveci, On the approximation of the solution of an optimal control problem governed by an elliptic equation, RAIRO Numer. Anal. 13 (1979) 313-328.
-
(1979)
RAIRO Numer. Anal
, vol.13
, pp. 313-328
-
-
Geveci, T.1
-
15
-
-
0025474996
-
Multiplier methods for nonlinear optimal control
-
W. Hager, Multiplier methods for nonlinear optimal control, SIAM J. Numer. Anal. 27 (1990) 1061- 1080.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, pp. 1061-1080
-
-
Hager, W.1
-
16
-
-
0011710238
-
Numerical analysis in optimal control
-
Optimal Control of Complex Structures, Birkhäuser, Basel
-
W. Hager, Numerical analysis in optimal control, in: Optimal Control of Complex Structures, International Series of Numerical Mathematics, Vol. 139 (Birkhäuser, Basel, 2001) pp. 83-93.
-
(2001)
International Series of Numerical Mathematics
, vol.139
, pp. 83-93
-
-
Hager, W.1
-
17
-
-
0020133102
-
Finite element approximation of parabolic time optimal control problems
-
G. Knowles, Finite element approximation of parabolic time optimal control problems, SIAM J. Control Optim. 20 (1982) 414-427.
-
(1982)
SIAM J. Control Optim
, vol.20
, pp. 414-427
-
-
Knowles, G.1
-
18
-
-
0019165782
-
Boundary control of parabolic systems: Finite-element approximations
-
I. Lasiecka, Boundary control of parabolic systems: finite-element approximations, Appl. Math. Optim. 6 (1980) 287-333.
-
(1980)
Appl. Math. Optim
, vol.6
, pp. 287-333
-
-
Lasiecka, I.1
-
19
-
-
0021431120
-
Ritz-Galerkin approximation of the time optimal boundary control problem for parabolic systems with Dirichlet boundary conditions
-
I. Lasiecka, Ritz-Galerkin approximation of the time optimal boundary control problem for parabolic systems with Dirichlet boundary conditions, SIAM J. Control Optim. 97 (1984) 477-500.
-
(1984)
SIAM J. Control Optim
, vol.97
, pp. 477-500
-
-
Lasiecka, I.1
-
20
-
-
0000463120
-
Convergence of approximations to nonlinear control problems
-
ed. A.V. Fiacco Marcel Dekker, New York
-
K. Malanowski, C. Büskens and H. Maurer, Convergence of approximations to nonlinear control problems, in: Mathematical Programming with Data Perturbation, ed. A.V. Fiacco (Marcel Dekker, New York, 1997) pp. 253-284.
-
(1997)
Mathematical Programming with Data Perturbation
, pp. 253-284
-
-
Malanowski, K.1
Büskens, C.2
Maurer, H.3
-
21
-
-
0001697550
-
The Ritz-Galerkin procedure for parabolic control problems
-
R. McKnight and W. Bosarge, The Ritz-Galerkin procedure for parabolic control problems, SIAM J. Control Optim. 11 (1973) 510-524.
-
(1973)
SIAM J. Control Optim
, vol.11
, pp. 510-524
-
-
McKnight, R.1
Bosarge, W.2
-
23
-
-
0347371707
-
Second order sufficient optimality conditions for nonlinear parabolic control problems with state-constraints
-
J. Raymond and F. Tröltzsch, Second order sufficient optimality conditions for nonlinear parabolic control problems with state-constraints, Discrete Contin. Dynam. Systems 6 (2000) 431-450.
-
(2000)
Discrete Contin. Dynam. Systems
, vol.6
, pp. 431-450
-
-
Raymond, J.1
Tröltzsch, F.2
-
24
-
-
0000197665
-
Error estimates for the discretization of state constrained convex control problems
-
D. Tiba and F. Tröltzsch, Error estimates for the discretization of state constrained convex control problems, Numer. Funct. Anal. Optim. 17 (1996) 1005-1028.
-
(1996)
Numer. Funct. Anal. Optim
, vol.17
, pp. 1005-1028
-
-
Tiba, D.1
Tröltzsch, F.2
-
25
-
-
0011767806
-
Semidiscrete finite element approximation of parabolic boundary control problemsconvergence of switching points
-
Optimal Control of Partial Differential Equations II, Birkhäuser, Basel
-
F. Tröltzsch, Semidiscrete finite element approximation of parabolic boundary control problemsconvergence of switching points, in: Optimal Control of Partial Differential Equations II, International Series of Numerical Mathematics, Vol. 78 (Birkhäuser, Basel, 1987) pp. 219-232.
-
(1987)
International Series of Numerical Mathematics
, vol.78
, pp. 219-232
-
-
Tröltzsch, F.1
-
26
-
-
0002845379
-
Approximation of nonlinear parabolic boundary problems by the Fourier methodconvergence of optimal controls
-
F. Tröltzsch, Approximation of nonlinear parabolic boundary problems by the Fourier methodconvergence of optimal controls, Optimization 2 (1991) 83-98.
-
(1991)
Optimization
, vol.2
, pp. 83-98
-
-
Tröltzsch, F.1
-
27
-
-
84984049082
-
On a convergence of semidiscrete Ritz-Galerkin schemes applied to the boundary control of parabolic equations with non-linear boundary condition
-
F. Tröltzsch, On a convergence of semidiscrete Ritz-Galerkin schemes applied to the boundary control of parabolic equations with non-linear boundary condition, Z. Angew. Math. Mech. 72 (1992) 291- 301.
-
(1992)
Z. Angew. Math. Mech
, vol.72
, pp. 291-301
-
-
Tröltzsch, F.1
-
28
-
-
0003009171
-
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems-strong convergence of optimal controls
-
F. Tröltzsch, Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems-strong convergence of optimal controls, Appl. Math. Optim. 29 (1994) 309-329.
-
(1994)
Appl. Math. Optim
, vol.29
, pp. 309-329
-
-
Tröltzsch, F.1
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