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 deals with the problem of determining a non-homogeneous heatconductivity profile in a steady-state heat conduction boundary-value problemwith mixed Dirichlet-Neumann boundary conditions over a bounded domain in$\mathbb{R}^n$, from the knowledge of the state over the whole domain. Wedevelop a method based on a variational approach leading to an optimalityequation which is then projected into a finite dimensional space.Discretization yields a linear although severely ill-posed equation which isthen regularized via appropriate ad-hoc penalizers resulting a in a generalizedTikhonov-Phillips functional. No smoothness assumptions are imposed on theconductivity. Numerical examples for the case in which the conductivity cantake only two prescribed values (a two-materials case) show that the approachis able to produce very good reconstructions of the exact solution.

Identification of the heterogeneous conductivity in an inverse heat conduction problem