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Method of Successive Approximations for a Fluid Structure Interaction Problem
Department of Mathematics, University of Thies, Thies, Senegal
Department of Mathematics, University of Thies, Thies, Senegal
- 1 Department of Mathematics, University of Thies, Thies, Senegal
- 2 Department of Mathematics, University of Thies, Thies, Senegal
Applied Mathematics·Volume 05 (2014)·Pages 2299–2304·Published 5 August 2014·DOI10.4236/am.2014.515223
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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 (x 1 , H + u (x 1 , λ )) . Then we have a nonlinear equation of unknown λ 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.
KeywordsBeam EquationStokes EquationFinite Elements MethodSuccessive Approximations Method
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