  In this work we present an extension of the Virtual Element Method with
curved edges for the numerical approximation of the second order wave equation
in a bidimensional setting. Curved elements are used to describe the domain
boundary, as well as internal interfaces corresponding to the change of some
mechanical parameters. As opposite to the classic and isoparametric Finite
Element approaches, where the geometry of the domain is approximated
respectively by piecewise straight lines and by higher order polynomial maps,
in the proposed method the geometry is exactly represented, thus ensuring a
highly accurate numerical solution. Indeed, if in the former approach the
geometrical error might deteriorate the quality of the numerical solution, in
the latter approach the curved interfaces/boundaries are approximated exactly
guaranteeing the expected order of convergence for the numerical scheme.
Theoretical results and numerical findings confirm the validity of the proposed
approach.
