Abdulle, AssyrHenning, Patrick2014-06-252014-06-252014-06-25201710.1090/mcom/3114https://infoscience.epfl.ch/handle/20.500.14299/104735WOS:000391546700003In this paper we propose and analyze a new multiscale method for the wave equation. The proposed method does not require any assumptions on space regularity or scale-separation and it is formulated in the framework of the Localized Orthogonal Decomposition (LOD). We derive rigorous a priori error estimates for the L2-approximation properties of the method, finding that convergence rates of up to third order can be achieved. The theoretical results are confirrmed by various numerical experiments.finite elementwave equationnumerical homogenizationmultiscale methodlocalized orthogonal decompositionLocalized orthogonal decomposition method for the wave equation with a continuum of scalestext::journal::journal article::research article