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Virtual control for fourth-order problems and for heterogeneous fourth-order second-order coupling

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • P. Gervasio

    (Università di Brescia, Department of Mathematics)

Abstract

Summary We consider both approximation of fourth-order problems derived, e.g., the Kirchoff plate model, and heterogeneous coupling between a fourth-order problem and a reduced second-order problem, describing a plate-membrane model. The multidomain virtual control approach is used. This paper is devoted to the analysis and construction of the cost function al gradient in order to render the minimization procedure effective.

Suggested Citation

  • P. Gervasio, 2003. "Virtual control for fourth-order problems and for heterogeneous fourth-order second-order coupling," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 827-836, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_75
    DOI: 10.1007/978-88-470-2089-4_75
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