Analysis of global multiscale finite element methods for wave equations with continuum spatial scales (Q979229)

This paper presents a numerical multiscale approach for solving wave equations with heterogeneous coefficients. For the solution a Galerkin multiscale finite element method is employed and its convergence analysis is presented. The relation between the smoothness of the global fields and the convergence rates of the global Galerkin multiscale finite element method for the wave equations is investigated. Numerical examples demonstrate that the use of global information renders a better accuracy for wave equations with heterogeneous coefficients than the local multiscale finite element method.