In this work, we investigate the inverse problem of determining kernel functions that best describe mechanical behavior a complex medium modeled by general nonlocal viscoelastic wave equation. To end, minimize tracking-type data misfit function under PDE constraint. We perform well-posedness analysis state and adjoint problems and, using these results, rigorously derive first-order sensitivitie...

The problem of transient propagation in a homogeneous linear viscoelastic solid is investigated by means of the wave splitting technique. Two mechanical viscoelastic models are considered in particular, corresponding respectively to a single Maxwell element and to the series of a Maxwell element plus a Kelvin element. Analytical solutions for the split field are evaluated in terms of the wave p...