메뉴 건너뛰기




Volumn 7, Issue 1, 1990, Pages 1-76

A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods

Author keywords

boundary control; conjugate gradient; exact controllability; finite elements and finite differences; Tychonoff regularization; wave equation

Indexed keywords


EID: 77951516889     PISSN: 09102043     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167891     Document Type: Article
Times cited : (85)

References (22)
  • 2
    • 0023966723 scopus 로고
    • Exact Controllability, stabilization and perturbations for distributed systems
    • (1988) SIAM Review , vol.30 , pp. 1-68
    • Lions, J.L.1
  • 4
    • 84935558789 scopus 로고    scopus 로고
    • R. Glowinski, C.H. Li, J.L. Lions, A numerical approach to the exact boundary controllability of the wave equation (II) Dirichlet controls: Further numerical experiments (to appear).
  • 9
    • 0000820706 scopus 로고
    • Controllability and Stabilizability theory for linear partial differential equations. Recent progress and open questions
    • (1978) SIAM Review , vol.20 , pp. 639-739
    • Russel, D.L.1
  • 15
    • 0000595101 scopus 로고
    • The method of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson’s equation on a rectangle
    • (1977) SIAM Review , vol.19 , pp. 490-501
    • Swarztrauber, P.1
  • 19
    • 0041038510 scopus 로고
    • A remark on the approximation of nonhomogeneous hyperbolic boundary value problems
    • A.V., Balakrishnan, A.A., Dorodnitsyn, J.L., Lions, Optimization Software, Inc., New York
    • (1986) Vistas in Applied Mathematics , pp. 114-126
    • Lions, J.L.1
  • 21
    • 84935607359 scopus 로고    scopus 로고
    • A. El Jai et A. Gonzales, Actionneurs et Contrôlabilité des Systèmes Hyperboliques. Univ. Perpignan Research Report, Perpignan, France, 1987.
  • 22
    • 84935586781 scopus 로고    scopus 로고
    • J.E. Dennis and R.B. Schnabel, A View of Unconstrained Optimization. Handbooks in Operations Research and Management Science, Vol. 1, Optimization (eds. A.H.G. Rinneoy Kan, M.J. Todd), North-Holland, Amsterdam (to appear).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.