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Volumn 16, Issue 4, 2008, Pages 307-322

A posteriori error control of a state constrained elliptic control problem

Author keywords

Elliptic optimal control problem; Error estimates; Goal oriented adaptivity; State constraints

Indexed keywords

AIRCRAFT ENGINES; CONSTRAINT THEORY; INTERSECTIONS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 57849095891     PISSN: 15702820     EISSN: None     Source Type: Journal    
DOI: 10.1515/JNUM.2008.014     Document Type: Article
Times cited : (36)

References (12)
  • 1
    • 0030383153 scopus 로고    scopus 로고
    • A feed-back approach to error control in finite element methods: Basic analysis and examples
    • R. Becker, and R. Rannacher, A feed-back approach to error control in finite element methods: basic analysis and examples. East-West J. Numer. Math. (1996) 4, No. 4, 237-264.
    • (1996) East-West J. Numer. Math , vol.4 , Issue.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 2
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • R. Becker and R. Rannacher, An optimal control approach to a posteriori error estimation in finite element methods. Acta Numerica, Cambridge University Press (2001) 10, 1-102.
    • (2001) Acta Numerica, Cambridge University Press , vol.10 , pp. 1-102
    • Becker, R.1    Rannacher, R.2
  • 3
    • 0034353740 scopus 로고    scopus 로고
    • A comparison of a Moreau-Yosida-based active set strategy and interior point methods for constrained optimal control problems
    • M. Bergounioux, M. Haddou, M. Hintermüller, and K. Kunisch, A comparison of a Moreau-Yosida-based active set strategy and interior point methods for constrained optimal control problems. SIAM J. Optim. (2000) 11, 495-521.
    • (2000) SIAM J. Optim , vol.11 , pp. 495-521
    • Bergounioux, M.1    Haddou, M.2    Hintermüller, M.3    Kunisch, K.4
  • 4
    • 0027623859 scopus 로고
    • Boundary control of semilinear elliptic equations with pointwise state constraints
    • E. Casas, Boundary control of semilinear elliptic equations with pointwise state constraints. SIAM J. Cont. Optim. (1993) 31, 993-1006.
    • (1993) SIAM J. Cont. Optim , vol.31 , pp. 993-1006
    • Casas, E.1
  • 5
    • 48449089214 scopus 로고    scopus 로고
    • Convergence of a finite element approximation to a state constrained elliptic control problem
    • K. Deckelnick and M. Hinze, Convergence of a finite element approximation to a state constrained elliptic control problem. SIAM J. Numer. Anal. (2007) 45, 1937-1953.
    • (2007) SIAM J. Numer. Anal , vol.45 , pp. 1937-1953
    • Deckelnick, K.1    Hinze, M.2
  • 7
    • 46749126287 scopus 로고    scopus 로고
    • M. Hintermüller, R. H.W. Hoppe, Y. Iliash, and M. Kieweg, An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. ESAIM, Control Optim. Calc. Var. (2007), DOI: 10.1051/cocv:2007057.
    • M. Hintermüller, R. H.W. Hoppe, Y. Iliash, and M. Kieweg, An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. ESAIM, Control Optim. Calc. Var. (2007), DOI: 10.1051/cocv:2007057.
  • 8
    • 14844350073 scopus 로고    scopus 로고
    • A variational discretization concept in control constrained optimization: The linearquadratic case
    • M. Hinze, A variational discretization concept in control constrained optimization: the linearquadratic case. J. Comp. Optim. Appl. (2005) 30, 45-63.
    • (2005) J. Comp. Optim. Appl , vol.30 , pp. 45-63
    • Hinze, M.1
  • 9
    • 57849148292 scopus 로고    scopus 로고
    • A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems
    • submitted
    • R. H. W. Hoppe and M. Kieweg, A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. SIAM J. Cont. Optim. (2007) (submitted).
    • (2007) SIAM J. Cont. Optim
    • Hoppe, R.H.W.1    Kieweg, M.2
  • 10
    • 0035566398 scopus 로고    scopus 로고
    • Aposteriori error estimates for distributed optimal control problems
    • W. Liu and N. Yan, Aposteriori error estimates for distributed optimal control problems. Adv. Comp. Math. (2001) 15, 285-309.
    • (2001) Adv. Comp. Math , vol.15 , pp. 285-309
    • Liu, W.1    Yan, N.2
  • 11
    • 57849091922 scopus 로고    scopus 로고
    • R. Rannacher, Adaptive solution of PDE-constrained optimal control problems. In: Proc. The 2nd Intern. Conf. on Scientific Computing and Partial Differential Equations (SCPDE05) & The First East Asia SIAM Symposium, Dec. 12-16, 2005, Hong Kong (Eds. W. Liu et al.), 2005.
    • R. Rannacher, Adaptive solution of PDE-constrained optimal control problems. In: Proc. The 2nd Intern. Conf. on Scientific Computing and Partial Differential Equations (SCPDE05) & The First East Asia SIAM Symposium, Dec. 12-16, 2005, Hong Kong (Eds. W. Liu et al.), 2005.
  • 12
    • 44449084080 scopus 로고    scopus 로고
    • Adaptive finite elements for elliptic optimization problems with control constraints
    • B. Vexler and W. Wollner, Adaptive finite elements for elliptic optimization problems with control constraints. SIAM J. Cont. Optim. (2008) 47, No. 1, 509-534.
    • (2008) SIAM J. Cont. Optim , vol.47 , Issue.1 , pp. 509-534
    • Vexler, B.1    Wollner, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.