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Volumn 44, Issue 5, 2006, Pages 1636-1649

L∞-Estimates for approximated optimal control problems

Author keywords

Control constraints; Elliptic equations; Error estimates; Linear quadratic optimal control problems; Numerical approximation

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; ERROR ANALYSIS; PROBLEM SOLVING; THEOREM PROVING;

EID: 33748948963     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/040614621     Document Type: Article
Times cited : (56)

References (15)
  • 1
    • 0036853826 scopus 로고    scopus 로고
    • Error estimates for a semilinear elliptic optimal control problem
    • N. ARADA, E. CASAS, AND F. TRÖLTZSCH, Error estimates for a semilinear elliptic optimal control problem, Comput. Optim. Approx., 23 (2002), pp. 201-229.
    • (2002) Comput. Optim. Approx. , vol.23 , pp. 201-229
    • Arada, N.1    Casas, E.2    Tröltzsch, F.3
  • 2
    • 0032635368 scopus 로고    scopus 로고
    • Primal-dual strategy for constrained optimal control problems
    • M. BERGOUNIOUX, K. ITO, AND K. KUNISCH, Primal-dual strategy for constrained optimal control problems, SIAM J. Control Optim., 37 (1999), pp. 1176-1194.
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 1176-1194
    • Bergounioux, M.1    Ito, K.2    Kunisch, K.3
  • 5
    • 21144435790 scopus 로고    scopus 로고
    • Error estimates for the numerical approximation of boundary semilinear elliptic control problems
    • E. CASAS, M. MATEOS, AND F. TRÖLTZSCH, Error estimates for the numerical approximation of boundary semilinear elliptic control problems, Comput. Optim. Appl., 31 (2005), pp. 193-219.
    • (2005) Comput. Optim. Appl. , vol.31 , pp. 193-219
    • Casas, E.1    Mateos, M.2    Tröltzsch, F.3
  • 6
    • 84904322799 scopus 로고    scopus 로고
    • Error estimates for linear-quadratic elliptic control problems
    • V. Barbu, I. Lasiecka, D. Tiba, and C. Varsan, eds., Kluwer Academic, Boston
    • E. CASAS AND F. TRÖLTZSCH, Error estimates for linear-quadratic elliptic control problems, in Analysis and Optimization of Differential Systems, V. Barbu, I. Lasiecka, D. Tiba, and C. Varsan, eds., Kluwer Academic, Boston, 2003, pp. 89-100.
    • (2003) Analysis and Optimization of Differential Systems , pp. 89-100
    • Casas, E.1    Tröltzsch, F.2
  • 7
    • 0002491694 scopus 로고
    • 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), pp. 28-47.
    • (1973) J. Math. Anal. Appl. , vol.44 , pp. 28-47
    • Falk, R.1
  • 8
    • 0000238396 scopus 로고
    • 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 Anal. Numer., 13 (1979), pp. 313-328.
    • (1979) RAIRO Anal. Numer. , vol.13 , pp. 313-328
    • Geveci, T.1
  • 10
    • 14844350073 scopus 로고    scopus 로고
    • A variational discretization concept in control constrained optimization: The linear-quadratic case
    • M. HINZE, A variational discretization concept in control constrained optimization: The linear-quadratic case, Comput. Optim. Appl., 30 (2005), pp. 45-61.
    • (2005) Comput. Optim. Appl. , vol.30 , pp. 45-61
    • Hinze, M.1
  • 11
    • 0038811738 scopus 로고    scopus 로고
    • Primal-dual active set strategy for a general class of constrained optimal control problems
    • K. KUNISCH AND A. RÖSCH, Primal-dual active set strategy for a general class of constrained optimal control problems, SIAM J. Optim., 13 (2002), pp. 321-334.
    • (2002) SIAM J. Optim. , vol.13 , pp. 321-334
    • Kunisch, K.1    Rösch, A.2
  • 12
    • 0019899110 scopus 로고
    • Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal control problems
    • K. MALANOWSKI, Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal control problems, Appl. Math. Optim., 8 (1981), pp. 69-95.
    • (1981) Appl. Math. Optim. , vol.8 , pp. 69-95
    • Malanowski, K.1
  • 13
    • 19944424816 scopus 로고    scopus 로고
    • Superconvergence properties of optimal control problems
    • C. MEYER AND A. RÖSCH, Superconvergence properties of optimal control problems, SIAM J. Control Optim., 43 (2004), pp. 970-985.
    • (2004) SIAM J. Control Optim. , vol.43 , pp. 970-985
    • Meyer, C.1    Rösch, A.2
  • 15
    • 33748927433 scopus 로고    scopus 로고
    • Error estimates for linear-quadratic control problems with control constraints
    • in print
    • A. RÖSCH, Error estimates for linear-quadratic control problems with control constraints, Optim. Methods Softw., in print.
    • Optim. Methods Softw.
    • Rösch, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.