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Coupled Systems Mechanics
  Volume 1, Number 1, March 2012 , pages 19-37
DOI: https://doi.org/10.12989/csm.2012.1.1.019
 

FEM-BEM iterative coupling procedures to analyze interacting wave propagation models: fluid-fluid, solid-solid and fluid-solid analyses
Delfim Soares Jr.

 
Abstract
    In this work, the iterative coupling of finite element and boundary element methods for the investigation of coupled fluid-fluid, solid-solid and fluid-solid wave propagation models is reviewed. In order to perform the coupling of the two numerical methods, a successive renewal of the variables on the common interface between the two sub-domains is performed through an iterative procedure until convergence is achieved. In the case of local nonlinearities within the finite element sub-domain, it is straightforward to perform the iterative coupling together with the iterations needed to solve the nonlinear system. In particular, a more efficient and stable performance of the coupling procedure is achieved by a special formulation that allows to use different time steps in each sub-domain. Optimized relaxation parameters are also considered in the analyses, in order to speed up and/or to ensure the convergence of the iterative process.
 
Key Words
    wave propagation; iterative coupling; finite element method; boundary element method; multidomain decomposition; different time-steps; nonlinear calculations
 
Address
Delfim Soares Jr. : Structural Engineering Department, Federal University of Juiz de Fora, CEP 36036-330 Juiz de Fora, MG, Brazil
 

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