Method of Successive Approximations for a Fluid Structure Interaction Problem  

作　　者：Aliou Gueye Sow Ibrahima Mbaye 

机构地区：[1]Department of Mathematics, University of Thies, Thies, Senegal

出　　处：《Applied Mathematics》2014年第15期2299-2304,共6页应用数学（英文）

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.

关 键 词：Beam EQUATION STOKES EQUATION FINITE ELEMENTS METHOD Successive APPROXIMATIONS METHOD 

分 类 号：O1[理学—数学]