The objective of this Mini Symposium is to open space for researchers in Boundary Elements to report current advances in these topics as well as the coupling with other numerical methods, particularly the Finite Element Method. The Boundary Element Method is an efficient numerical tool to model the dynamic of unbounded domains and when coupled with the FEM allows to model the dynamics of complex systems, including vibrations of eolic systems, constituted of blades, rotor, structure, foundation and the supporting soil. The modelling of periodic structures, which produce bandgaps, embedded in various kinds of soil profiles and interacting with engineering structures represents another example of current BEM application. The BEM allows the modelling of vibration and waves propagating from the complex systems into the environment, allowing to help assessing the influence of the engineering systems on the surrounding ecosystem. The MS will consider theoretical developments, new numerical strategies as well as engineering applications based on these methodologies. The coupling of Boundary Elements with other numerical methods are welcome. Applications related to acoustics and fluid dynamics as well as geomechanics problems in unbounded domains are encouraged.