Iterative regularization and adaptivity for an electromagnetic coefficient inverse problem
Paper i proceeding, 2017

We study how the choice of the regularization parameter affects the quality of the reconstruction of the dielectric permittivity for an inhomogeneous medium, with data consisting of boundary observations of the electric field. Our method is based on the minimization of a Tikhonov functional and uses a finite element method for computations of the electric field. We conclude that the choice of the regularization parameter does not affect the quality of the reconstruction significantly in the studied cases, and can even be removed with results not significantly different from those with regularization.

Författare

John Bondestam Malmberg

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Göteborgs universitet

Larisa Beilina

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Göteborgs universitet

AIP Conference Proceedings

0094-243X (ISSN) 1551-7616 (eISSN)

Vol. 1863 370002

Ämneskategorier

Matematisk analys

DOI

10.1063/1.4992549

ISBN

978-0-73541538-6