Numerical Analysis of a Finite Element Method for the Electromagnetic Concentrator Model
Advances in Computational Mathematics
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In this paper, we consider the electromagnetic concentrator model obtained through transformation optics. This model is formed by a system of coupled time-dependent Maxwell’s equations with three unknowns, which makes the analysis and simulation much more challenging compared to the standard Maxwell equations. In our previous work (W. Yang, J. Li, Y. Huang, and B. He, Commun. Comput. Phys., 25(1), pp. 135–154, 2019), we proposed a finite element time-domain (FETD) method with edge elements for solving this model efficiently without any theoretical analysis. Here, we provide a rigorous analysis for the mathematical modelling equations and the FETD method proposed there.
Edge elements; Finite element method; Maxwell's equations; Metamaterial
Applied Mathematics | Numerical Analysis and Computation | Physical Sciences and Mathematics
Numerical Analysis of a Finite Element Method for the Electromagnetic Concentrator Model.
Advances in Computational Mathematics, 46(6),