This contribution introduces a modeling approach for computing the dispersion characteristics of panels that may consist of acoustic cavities, linear elastic solids and porous absorbers. The Wave Finite Element Method is applied. It is assumed that the structure’s material composition and geometry is either constant or periodic. An existing approach for studying the vibroacoustic properties of linear elastic panels is extended to include porous domains. Considering the elastic deformations of the solid phase, the porous domain is represented by the classical formulation of the so-called Johnson–Champoux–Allard model. The introduced computing strategy is used for analysing the absorption characteristics of a porous absorber with mass inclusions and the sound transmission through a two-shell wall with inclusions. The presented methodology differs from existing approaches in literature as it simultaneously fulfils the following criteria: elastic deformations of the pore framework are modeled, the system can be excited by both, normal incident and also inclined plane waves, the model images the reflected part of the exciting wave and there is no limit to the complexity of the repetitive inclusion geometries within the porous layer.