147
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive finite element method for a coefficient inverse problem for Maxwell's system

Pages 1461-1479 | Received 18 May 2010, Accepted 13 Jun 2010, Published online: 11 Mar 2011
 

Abstract

We consider a coefficient inverse problem for Maxwell's system in 3-D. The coefficient of interest is the dielectric permittivity function. Only backscattering single measurement data are used. The problem is formulated as an optimization problem. The key idea is to use the adaptive finite element method for the solution. Both analytical and numerical results are presented. Similar ideas for inverse problems for the complete time dependent Maxwell's system were not considered in the past.

AMS Subject Classifications::

Acknowledgements

The research was partially supported by the Swedish Foundation for Strategic Research (SSF) in Gothenburg Mathematical Modelling Center (GMMC) and by the Swedish Institute, Visby Program.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.