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Journal of Applied Mathematics
Volume 2014, Article ID 426283, 21 pages
Review Article

An Overview of Recent Advances in the Iterative Analysis of Coupled Models for Wave Propagation

1Structural Engineering Department, Federal University of Juiz de Fora, Cidade Universitária, 36036-330 Juiz de Fora, MG, Brazil
2CICC, Department of Civil Engineering, University of Coimbra, 3030-788 Coimbra, Portugal

Received 18 September 2013; Accepted 25 November 2013; Published 14 January 2014

Academic Editor: Daniel Dias-da-Costa

Copyright © 2014 D. Soares Jr. and L. Godinho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Wave propagation problems can be solved using a variety of methods. However, in many cases, the joint use of different numerical procedures to model different parts of the problem may be advisable and strategies to perform the coupling between them must be developed. Many works have been published on this subject, addressing the case of electromagnetic, acoustic, or elastic waves and making use of different strategies to perform this coupling. Both direct and iterative approaches can be used, and they may exhibit specific advantages and disadvantages. This work focuses on the use of iterative coupling schemes for the analysis of wave propagation problems, presenting an overview of the application of iterative procedures to perform the coupling between different methods. Both frequency- and time-domain analyses are addressed, and problems involving acoustic, mechanical, and electromagnetic wave propagation problems are illustrated.