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.