English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we consider a regularization strategy for the factorizationmethod when there is noise added to the data operator. The factorization methodis a qualitative method used in shape reconstruction problems. These methodsare advantageous to use due to the fact that they are computationally simpleand require little a priori knowledge of the object one wishes to reconstruct.The main focus of this paper is to prove that the regularization strategypresented here produces stable reconstructions. We will show this is the caseanalytically and numerically for the inverse shape problem of recovering anisotropic scatterer with a conductive boundary condition. We also provide astrategy for picking the regularization parameter with respect to the noiselevel. Numerical examples are given for a scatterer in 2 dimensions.

Regularized Factorization Method for a perturbed positive compact operator applied to inverse scattering