Title
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
Recommended Citation
Brenner, S., Gedicke, J., & Sung, L. (2017). Hodge decomposition for two-dimensional time-harmonic Maxwell's equations: impedance boundary condition. Mathematical Methods in the Applied Sciences, 40 (2), 370-390. https://doi.org/10.1002/mma.3398