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Murea, C. and Maday, C. (1996) Existence of an Optimal Control for a Nonlinear Fluid Cable Interaction Problem. Rapport de Recherche CEMRACS, C.I.R.M., Luminy.

has been cited by the following article:

• TITLE: Method of Successive Approximations for a Fluid Structure Interaction Problem

  AUTHORS: Aliou Gueye Sow, Ibrahima Mbaye

  KEYWORDS: Beam Equation, Stokes Equation, Finite Elements Method, Successive Approximations Method

  JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 13, 2014

  ABSTRACT: In this paper, we present a method for solving coupled problem. This method is mainly based on the successive approximations method. The external force acting on the structure is replaced by λ = p (x1, H + u (x1, λ)). Then we have a nonlinear equation of unknownλ to solve by successive approximations method. By this method, we obtain easily the analytic expression of the displacement. In addition, good results are obtained with only a few iterations.