Method of Successive Approximations for a Fluid Structure Interaction Problem

• 作者: Aliou Gueye Sow Ibrahima Mbaye
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: BEAM EQUATION STOKES EQUATION FINITE Elements METHOD Successive APPROXIMATIONS METHOD
• 年，卷（期）: 2014,（15）
• 页码范围: 2299-2304
• 页数: 6页
• 分类号: O1

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.