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 the inverse shape problem of recovering isotropicscatterers with a conductive boundary condition. Here, we assume that themeasured far-field data is known at a fixed wave number. Motivated by recentwork, we study a new direct sampling indicator based on the Landweber iterationand the factorization method. Therefore, we prove the connection between thesereconstruction methods. The method studied here falls under the category ofqualitative reconstruction methods where an imaging function is used to recoverthe absorbing scatterer. We prove stability of our new imaging function as wellas derive a discrepancy principle for recovering the regularization parameter.The theoretical results are verified with numerical examples to show how thereconstruction performs by the new Landweber direct sampling method.

Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary