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A Mixed Method for Time-Transient Acoustic Wave Propagation in Metamaterials

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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.

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Notes

  1. The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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  1. Department of Mathematics, Baylor University, Waco, TX, USA

    Jeonghun J. Lee

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Correspondence to Jeonghun J. Lee.

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Lee, J.J. A Mixed Method for Time-Transient Acoustic Wave Propagation in Metamaterials. J Sci Comput 84, 20 (2020). https://doi.org/10.1007/s10915-020-01275-0

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  • DOI: https://doi.org/10.1007/s10915-020-01275-0

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