A hybrid finite element/finite difference method for reconstruction of dielectric properties of conductive objects
Artikel i vetenskaplig tidskrift, 2024

The aim of this article is to present a hybrid finite element/finite difference method which is used for reconstructions of electromagnetic properties within a realistic breast phantom. This is done by studying the mentioned properties’ (electric permittivity and conductivity in this case) representing coefficients in a constellation of Maxwell’s equations. This information is valuable since these coefficient can reveal types of tissues within the breast, and in applications could be used to detect shapes and locations of tumours. Because of the ill-posed nature of this coefficient inverse problem, we approach it as an optimization problem by introducing the corresponding Tikhonov functional and in turn Lagrangian. These are then minimized by utilizing an interplay between finite element and finite difference methods for solutions of direct and adjoint problems, and thereafter by applying a conjugate gradient method to an adaptively refined mesh.

adaptive methods

microwave imaging

coefficient inverse problems

finite element method

Maxwell’s equations

finite difference method

Författare

Eric Lindström

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Göteborgs universitet

Larisa Beilina

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Göteborgs universitet

Proceedings of the International Conference on Electromagnetics in Advanced Applications, ICEAA

28351355 (ISSN) 27662284 (eISSN)

2024 788-793

Ämneskategorier

Beräkningsmatematik

DOI

10.1109/ICEAA61917.2024.10701914

Mer information

Senast uppdaterat

2024-11-25