Title

Numerical Analysis of a Finite Element Method for the Electromagnetic Concentrator Model

Document Type

Article

Publication Date

10-27-2020

Publication Title

Advances in Computational Mathematics

Volume

46

Issue

6

First page number:

1

Last page number:

25

Abstract

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.

Keywords

Edge elements; Finite element method; Maxwell's equations; Metamaterial

Disciplines

Applied Mathematics | Numerical Analysis and Computation | Physical Sciences and Mathematics

Language

English

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