Virtual elements for sound propagation in complex poroelastic media

We develop a novel Virtual Element Method (VEM) to resolve the mixed Biot displacement-pressure formulation governing wave propagation in porous media. Within this setting, weak form of equations is discretized using implicitly defined canonical basis functions and resulting integral forms are computed appropriate polynomial projections. The projection operator accounting for solid, fluid, coupling phases problem presented. Different boundary, interface excitation conditions accounted for. convergence behaviour, accuracy, efficiency method examined through set illustrative examples. A node insertion strategy proposed non-conforming interfaces that naturally arise multilayered systems. Finally power VEM exploited examine acoustic response composite materials with periodic non-periodic inclusions complex geometries.