Abdulle, Assyr
Henning, Patrick
Localized orthogonal decomposition method for the wave equation with a continuum of scales
Mathematics of Computation
Mathematics of Computation
Mathematics of Computation
Mathematics of Computation
39
86
finite element
wave equation
numerical homogenization
multiscale method
localized orthogonal decomposition
2017
2017
In 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.
American Mathematical Society
0025-5718
Mathematics of Computation
Journal Articles
10.1090/mcom/3114