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Paper detail

A mixed method for time-transient acoustic wave propagation in metamaterials

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.

preprint2020arXivOpen access
Jeonghun J. Lee
math.NANumerical Analysis
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Jeonghun J. Lee

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