A mixed method for time-transient acoustic wave propagation in metamaterials
Numerical Analysis
2020-07-13 v2 Numerical Analysis
Abstract
In this paper we develop a finite element method for acoustic wave propagation in Drude-type metamaterials. The governing equation is written as a symmetrizable hyperbolic system with auxiliary variables. The standard mixed finite elements and discontinuous finite elements are used for spatial discretization, and the Crank-Nicolson scheme is used for time discretization. The a priori error analysis of fully discrete scheme is carried out in details. Numerical experiments illustrating the theoretical results and metamaterial wave propagation, are included.
Cite
@article{arxiv.2007.02175,
title = {A mixed method for time-transient acoustic wave propagation in metamaterials},
author = {Jeonghun J. Lee},
journal= {arXiv preprint arXiv:2007.02175},
year = {2020}
}
Comments
23 pages, sign corrected