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

This work is devoted to the nonlinear inverse problem of identifying thereaction coefficient in an elliptic boundary value problem from single Cauchydata on a part of the boundary. We then examine simultaneously two ellipticboundary value problems generated from the available Cauchy data. The outputleast squares method with the Tikhonov regularization is applied to findapproximations of the sought coefficient. We discretize the PDEs with piecewiselinear finite elements. The stability and convergence of this technique arethen established. A numerical experiment is presented to illustrate ourtheoretical findings.

Finite element analysis for identifying the reaction coefficient in PDE from boundary observations