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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The problem of determining the interface separating a constant conductivity inclusion with star-shaped support from boundary measurement data of a solution of the corresponding PDEs is considered. An equivalent statement as a nonlinear integral equation is obtained. The problem is analyzed and implemented numerically using truncated Fourier series expansion. It is also verified that the Frechet derivative at fixed circular support is a compact operator, this demonstrate the problem is ill-posed. Furthermore, its singular systems is explicitely obtained which indicating the degree of ill- posedness of the problem is severely ill-posed. Numerical experiments based on simplified iteratively regularized Gauss- Newton method (sIRGNM) are presented.

APPLICATION OF CORE IDENTIFICATION TO STAR-SHAPE CONSTANT CONDUCTIVITY INCLUSION