Abstract
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.
Highlights
The analysis of wave propagation, either involving electromagnetic, acoustic, or elastic waves, has been widely studied by researchers using different strategies and methodologies, as can be seen, for example, in [1,2,3,4,5,6,7,8,9,10], among many others
The interaction between different types of media, such as fluid-solid or soil-structure interaction problems, poses significant challenges that can hardly be tackled by means of a single numerical method, requiring the joint use of different procedures to model different parts of the problem
When modelling dynamic fluid-structure and soil-structure interactions, wave propagation in elastic media with heterogeneities, or the transmission of ground-borne vibration, coupled models using the finite element method (FEM) and the boundary element method (BEM) have been extensively documented in the literature [13,14,15,16,17,18,19], mostly using the FEM to model the structure and the BEM to model the hosting infinite or semiinfinite medium
Summary
The analysis of wave propagation, either involving electromagnetic, acoustic, or elastic waves, has been widely studied by researchers using different strategies and methodologies, as can be seen, for example, in [1,2,3,4,5,6,7,8,9,10], among many others. Taking into account time-domain wave propagation models, the first work on the topic seems to have been presented by Soares et al [35], who described a relaxed FEM-BEM iterative coupling procedure to analyze dynamic nonlinear problems, considering different time discretizations within each sub-domain of the model Later on, this technique has been further developed to analyze other wave propagation models, including acoustic, elastic, and electromagnetic wave propagation or solid-fluid interaction, taking into account several different numerical procedures using the FEM and the BEM [36,37,38,39,40,41,42,43,44,45] or the meshless local PetrovGalerkin method [46]. Some numerical applications are presented, illustrating the accuracy, performance, and potentialities of the discussed procedures, taking into account different wave propagation models and discretization techniques
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