A BIE-BASED DtN-FEM FOR FLUID-SOLID INTERACTION PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: Fluid-solid interaction problem Dirichlet-to-Neumann mapping Finite element method Fast multipole method Nystr(o)m method
• 年，卷（期）: 2018,（1）
• 页码范围: 47-69
• 页数: 23页
• 语种: 英文
• DOI: 10.4208/jcm.1610-m2015-0480

摘要

In this paper,we are concerned with the coupling of finite element methods and boundary integral equation methods solving the classical fluid-solid interaction problem in two dimensions.The original transmission problem is reduced to an equivalent nonlocal boundary value problem via introducing a Dirichlet-to-Neumann mapping by the direct boundary integral equation method.We show the existence and uniqueness of the solution for the corresponding variational equation.Numerical results based on the finite element method coupled with the standard Galerkin boundary element method,the fast multipole method and the Nystr(o)m method for approximating the DtN mapping are provided to illustrate the efficiency and accuracy of the numerical schemes.