A new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures also referred to as Dynamical Energy Analysis (DEA) has been proposed recently (G Tanner, JSV 320, 1023 (2009)). The technique interpolates between ”Statistical Energy Analysis” (SEA) and ”ray tracing” containing both these methods as limiting cases. Within the new theory SEA is identified as a low resolution ray tracing algorithm and typical SEA assumptions can be quantified in terms of the properties of the ray dynamics. We have developed an efficient DEA code and have tested it for a range of multi-component model systems. For reference purposes, we have undertaken numerically exact calculations for solving the underlying wave equations using both finite element (FEM) and boundary element (BEM) methods. The FEM calculations use sophisticated hp-adaptive discontinuous Galerkin methods. For the BEM calculations, we have developed a multi-component BEM solver for wave problems with variable wave speed and damping parameters across sub-systems.
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