Hodge decomposition for two-dimensional time-harmonic Maxwell's equations: impedance boundary condition

Document Type

Conference Proceeding

Publication Date

1-30-2017

Abstract

We extend the Hodge decomposition approach for the cavity problem of two-dimensional time-harmonic Maxwell's equations to include the impedance boundary condition, with anisotropic electric permittivity and sign-changing magnetic permeability. We derive error estimates for a P finite element method based on the Hodge decomposition approach and present results of numerical experiments that involve metamaterials and electromagnetic cloaking. The well-posedness of the cavity problem when both electric permittivity and magnetic permeability can change sign is also discussed. Copyright © 2015 John Wiley & Sons, Ltd. 1

Publication Source (Journal or Book title)

Mathematical Methods in the Applied Sciences

First Page

370

Last Page

390

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