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Method of Successive Approximations for a Fluid Structure Interaction Problem

Method of Successive Approximations for a Fluid Structure Interaction Problem
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摘要 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 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. 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 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.
出处 《Applied Mathematics》 2014年第15期2299-2304,共6页 应用数学(英文)
关键词 BEAM EQUATION STOKES EQUATION FINITE Elements METHOD Successive APPROXIMATIONS METHOD Beam Equation Stokes Equation Finite Elements Method Successive Approximations Method
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