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Volumn 10, Issue 2, 2003, Pages 149-161

Numerical aspects of a level set based algorithm for state constrained optimal control problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONSTRAINT THEORY; HARDENING; LASER BEAM EFFECTS; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SENSITIVITY ANALYSIS; STEEL;

EID: 0037595423     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (14)
  • 1
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • D. Adalsteinsson, J. Sethian. The fast construction of extension velocities in level set methods. J. Comput. Phys., 148: 2-22, 1999.
    • (1999) J. Comput. Phys. , vol.148 , pp. 2-22
    • Adalsteinsson, D.1    Sethian, J.2
  • 3
    • 0003713964 scopus 로고
    • Athena Scientific Publisher, Belmont, Massachusetts
    • D. Bertsekas. Nonlinear Programming. Athena Scientific Publisher, Belmont, Massachusetts, 1995.
    • (1995) Nonlinear Programming
    • Bertsekas, D.1
  • 6
    • 33749725182 scopus 로고
    • Uniformly high order order accurate essentially non-oscillatory schemes; III
    • A. Harten, B. Enquist, S. Osher, S. Chakravarthy. Uniformly high order order accurate essentially non-oscillatory schemes; III. J. Comput. Phys., 71: 231-303, 1987.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Enquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 7
    • 0038434557 scopus 로고    scopus 로고
    • SQP interior point methods for distributed optimal control problems
    • In: Floudas Pardalos, ed.; Kluwer Academic Publisher, Boston
    • M. Heinkenschloss. SQP interior point methods for distributed optimal control problems. In: Floudas Pardalos, ed., Encyclopedia of Optimization. Kluwer Academic Publisher, Boston, 2000.
    • (2000) Encyclopedia of Optimization
    • Heinkenschloss, M.1
  • 8
    • 4244016718 scopus 로고    scopus 로고
    • A level set approach for the solution of a state constrained optimal control problem
    • (to appear)
    • M. Hitnermüller, W. Ring. A level set approach for the solution of a state constrained optimal control problem. Numerische Mathematik (to appear).
    • Numerische Mathematik
    • Hitnermüller, M.1    Ring, W.2
  • 9
    • 4243838538 scopus 로고    scopus 로고
    • Suboptimal control of laser surface hardening using proper orthogonal decomposition
    • SFB-Report no. 217, special Research Center on Control and Optimization, University of Graz
    • D. Hömberg, S. Volkwein. Suboptimal control of laser surface hardening using proper orthogonal decomposition. SFB-Report no. 217, special Research Center on Control and Optimization, University of Graz, 2001.
    • (2001)
    • Hömberg, D.1    Volkwein, S.2
  • 11
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • S. Osher, J. Sethian. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 79: 12-49, 1988.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 14
    • 28144444111 scopus 로고
    • A level set method for computing solutions to incompressible two-phase flow
    • M. Sussman, P. Smereka, S. Osher, A level set method for computing solutions to incompressible two-phase flow. J. Comput. Phys., 114: 146-159, 1994.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.