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.

中文翻译：

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超材料中瞬态声波传播的混合方法

在本文中，我们开发了一种用于在 Drude 型超材料中传播声波的有限元方法。控制方程被写成一个带有辅助变量的可对称双曲系统。空间离散采用标准混合有限元和非连续有限元，时间离散采用Crank-Nicolson方案。详细进行了全离散方案的先验误差分析。包括说明理论结果和超材料波传播的数值实验。