论文标题
一种混合方法，用于超材料中的时间传播声波传播
A mixed method for time-transient acoustic wave propagation in metamaterials
论文作者
论文摘要
在本文中，我们开发了一种有限的元素方法，用于drude型超材料中的声波传播。管理方程式写为具有辅助变量的对称双曲系统。标准的混合有限元和不连续的有限元素用于空间离散化，并且使用曲柄 - 尼科尔森方案进行时间离散化。对完全离散方案的先验错误分析进行了详细的详细信息。包括说明理论结果和超材料波传播的数值实验。
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.
