-
1
-
-
0034461033
-
Adaptive finite element methods for optimal control of partial differential equations: basic concept
-
DOI 10.1137/S0363012999351097
-
R. Becker H. Kapp R. Rannacher 2000 Adaptive finite element methods for optimal control of partial differential equations: basic concepts SIAM J. Control Optim. 39 1 113 132 0967.65080 10.1137/S0363012999351097 1780911 (Pubitemid 32254139)
-
(2000)
SIAM Journal on Control and Optimization
, vol.39
, Issue.1
, pp. 113-132
-
-
Becker, R.1
Kapp, H.2
Rannacher, R.3
-
2
-
-
85022001969
-
An optimal control approach to a posteriori error estimation
-
A. Iserles (eds). Cambridge University Press London
-
Becker, R., Rannacher, R.: An optimal control approach to a posteriori error estimation. In: Iserles, A. (ed.) Acta Numerica 2001, pp. 1-102. Cambridge University Press, London (2001)
-
(2001)
Acta Numerica 2001
, pp. 1-102
-
-
Becker, R.1
Rannacher, R.2
-
3
-
-
0842325124
-
A posteriori error estimation for finite element discretization of parameter identification problems
-
DOI 10.1007/s00211-003-0482-9
-
R. Becker B. Vexler 2004 A posteriori error estimation for finite element discretizations of parameter identification problems Numer. Math. 96 3 435 459 1044.65080 10.1007/s00211-003-0482-9 2028723 (Pubitemid 38169949)
-
(2004)
Numerische Mathematik
, vol.96
, Issue.3
, pp. 435-459
-
-
Becker, R.1
Vexler, B.2
-
4
-
-
33947237419
-
Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations
-
1082.65130 10.1016/j.jcp.2004.12.018 2135836
-
R. Becker B. Vexler 2005 Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations J. Comput. Phys. 206 1 95 110 1082.65130 10.1016/j.jcp.2004.12.018 2135836
-
(2005)
J. Comput. Phys.
, vol.206
, Issue.1
, pp. 95-110
-
-
Becker, R.1
Vexler, B.2
-
8
-
-
0022810709
-
Control of an elliptic problem with pointwise state constraints
-
0606.49017 10.1137/0324078 861100
-
E. Casas 1986 Control of an elliptic problem with pointwise state constraints SIAM J. Control Optim. 24 1309 1318 0606.49017 10.1137/0324078 861100
-
(1986)
SIAM J. Control Optim.
, vol.24
, pp. 1309-1318
-
-
Casas, E.1
-
9
-
-
0027623859
-
Boundary control of semilinear elliptic equations with pointwise state constraints
-
1227543
-
E. Casas 1993 Boundary control of semilinear elliptic equations with pointwise state constraints SIAM J. Control Optim. 34 933 1006 1227543
-
(1993)
SIAM J. Control Optim.
, vol.34
, pp. 933-1006
-
-
Casas, E.1
-
10
-
-
54749105041
-
Error estimates for the Lavrentiev regularization of elliptic optimal control problems
-
accepted
-
Cherednichenko, S., Krumbiegel, K., Rösch, A.: Error estimates for the Lavrentiev regularization of elliptic optimal control problems. Inverse Probl. (2008, accepted)
-
(2008)
Inverse Probl.
-
-
Cherednichenko, S.1
-
11
-
-
48449089214
-
Convergence of a finite element approximation to a state constrained elliptic control problem
-
10.1137/060652361 2346365
-
K. Deckelnick M. Hinze 2007 Convergence of a finite element approximation to a state constrained elliptic control problem SIAM J. Numer. Anal. 35 1937 1953 10.1137/060652361 2346365
-
(2007)
SIAM J. Numer. Anal.
, vol.35
, pp. 1937-1953
-
-
Deckelnick, K.1
Hinze, M.2
-
12
-
-
77954959301
-
A finite element approximation to elliptic control problems in the presence of control and state constraints
-
Deckelnick, K., Hinze, M.: A finite element approximation to elliptic control problems in the presence of control and state constraints. Hambg. Beitr. Angew. Math. 2007-01 (2007)
-
(2007)
Hambg. Beitr. Angew. Math. 2007-01
-
-
Deckelnick, K.1
Hinze, M.2
-
13
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
A. Iserles (eds). Cambridge University Press London
-
Eriksson, K., Estep, D., Hansbo, P., Johnson, C.: Introduction to adaptive methods for differential equations. In: Iserles, A. (ed.) Acta Numerica 1995, pp. 105-158. Cambridge University Press, London (1995)
-
(1995)
Acta Numerica 1995
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
16
-
-
57849095891
-
A posteriori error control of a state constrained elliptic control problem
-
to appear
-
Günther, A., Hinze, M.: A posteriori error control of a state constrained elliptic control problem. J. Numer. Math. (2008, to appear)
-
(2008)
J. Numer. Math.
-
-
Günther, A.1
-
17
-
-
46749126287
-
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
-
1157.65039 10.1051/cocv:2007057
-
M. Hintermüller R.H.W. Hoppe Y. Iliash M. Kieweg 2008 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints ESIAM Control Optim. Calc. Var. 14 540 560 1157.65039 10.1051/cocv:2007057
-
(2008)
ESIAM Control Optim. Calc. Var.
, vol.14
, pp. 540-560
-
-
Hintermüller, M.1
Hoppe, R.H.W.2
Iliash, Y.3
Kieweg, M.4
-
18
-
-
55549098161
-
Goal-oriented adaptivity in control constrained optimal control of partial differential equations
-
1167.49029 10.1137/070683891 2421327
-
M. Hintermüller R.H.W. Hoppe 2008 Goal-oriented adaptivity in control constrained optimal control of partial differential equations SIAM J. Control Optim. 47 4 1721 1743 1167.49029 10.1137/070683891 2421327
-
(2008)
SIAM J. Control Optim.
, vol.47
, Issue.4
, pp. 1721-1743
-
-
Hintermüller, M.1
Hoppe, R.H.W.2
-
19
-
-
34547222933
-
Feasible and noninterior path-following in constrained minimization with low multiplier regularity
-
1121.49030 10.1137/050637480 2257219
-
M. Hintermüller K. Kunisch 2006 Feasible and noninterior path-following in constrained minimization with low multiplier regularity SIAM J. Control Optim. 45 4 1198 1221 1121.49030 10.1137/050637480 2257219
-
(2006)
SIAM J. Control Optim.
, vol.45
, Issue.4
, pp. 1198-1221
-
-
Hintermüller, M.1
Kunisch, K.2
-
21
-
-
14844350073
-
A variational discretization concept in control constrained optimization: The linear-quadratic case
-
DOI 10.1007/s10589-005-4559-5
-
M. Hinze 2005 A variational discretization concept in control constrained optimization: the linear-quadratic case Comput. Optim. Appl. 30 1 45 61 1074.65069 10.1007/s10589-005-4559-5 2122182 (Pubitemid 40356733)
-
(2005)
Computational Optimization and Applications
, vol.30
, Issue.1
, pp. 45-61
-
-
Hinze, M.1
-
23
-
-
0141645572
-
Adaptive finite element approximation for distributed elliptic optimal control problems
-
1034.49031 10.1137/S0363012901389342 1971952
-
R. Li W. Liu H. Ma T. Tang 2002 Adaptive finite element approximation for distributed elliptic optimal control problems SIAM J. Control Optim. 41 5 1321 1349 1034.49031 10.1137/S0363012901389342 1971952
-
(2002)
SIAM J. Control Optim.
, vol.41
, Issue.5
, pp. 1321-1349
-
-
Li, R.1
Liu, W.2
Ma, H.3
Tang, T.4
-
24
-
-
68049102762
-
Adaptive multi-meshes in finite element approximation of optimal control
-
W. Liu 2005 Adaptive multi-meshes in finite element approximation of optimal control Contemporary Mathematics 383 113 132
-
(2005)
Contemporary Mathematics
, vol.383
, pp. 113-132
-
-
Liu, W.1
-
25
-
-
70449526740
-
A new finite element approximation of a state constrained optimal control problem
-
accepted
-
Liu, W., Gong, W., Yan, N.: A new finite element approximation of a state constrained optimal control problem. J. Comput. Math. (2008, accepted)
-
(2008)
J. Comput. Math.
-
-
Liu, W.1
Gong, W.2
Yan, N.3
-
26
-
-
39449084428
-
Adaptive space-time finite element methods for parabolic optimization problems
-
DOI 10.1137/060648994
-
D. Meidner B. Vexler 2007 Adaptive space-time finite element methods for parabolic optimization problems SIAM J. Control Optim. 46 1 116 142 1149.65051 10.1137/060648994 2299622 (Pubitemid 351271290)
-
(2007)
SIAM Journal on Control and Optimization
, vol.46
, Issue.1
, pp. 116-142
-
-
Meidner, D.1
Vexler, B.2
-
27
-
-
48449102609
-
Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
-
to appear
-
Meyer, C.: Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints. Control Cybern. (2008, to appear)
-
(2008)
Control Cybern.
-
-
Meyer, C.1
-
29
-
-
35148815300
-
On two numerical methods for state-constrained elliptic control problems
-
05212565 2360802
-
C. Meyer U. Prüfert F. Tröltzsch 2007 On two numerical methods for state-constrained elliptic control problems Optim. Methods Softw. 22 871 899 05212565 2360802
-
(2007)
Optim. Methods Softw.
, vol.22
, pp. 871-899
-
-
Meyer, C.1
Prüfert, U.2
Tröltzsch, F.3
-
30
-
-
33645154056
-
Optimal control of PDEs with regularized pointwise state constraints
-
1103.90072 10.1007/s10589-005-3056-1 2208817
-
C. Meyer A. Rösch F. Tröltzsch 2006 Optimal control of PDEs with regularized pointwise state constraints Comput. Optim. Appl. 33 209 228 1103.90072 10.1007/s10589-005-3056-1 2208817
-
(2006)
Comput. Optim. Appl.
, vol.33
, pp. 209-228
-
-
Meyer, C.1
Rösch, A.2
Tröltzsch, F.3
-
33
-
-
55549141189
-
Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations
-
1169.65098 10.1137/060670468 2377446
-
M. Schmich B. Vexler 2008 Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations SIAM J. Sci. Comput. 30 1 369 393 1169.65098 10.1137/060670468 2377446
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, Issue.1
, pp. 369-393
-
-
Schmich, M.1
Vexler, B.2
-
36
-
-
44449084080
-
Adaptive finite elements for elliptic optimization problems with control constraints
-
1169.65068 10.1137/070683416 2373479
-
B. Vexler W. Wollner 2008 Adaptive finite elements for elliptic optimization problems with control constraints SIAM J. Control Optim. 47 1 509 534 1169.65068 10.1137/070683416 2373479
-
(2008)
SIAM J. Control Optim.
, vol.47
, Issue.1
, pp. 509-534
-
-
Vexler, B.1
Wollner, W.2
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