NON-INVASIVE INVERSE PROBLEM IN CIVIL ENGINEERING

Authors

  • Jan Havelka Czech Technical University in Prague, Faculty of Civil Engineering, Thákurova 2077/7, 166 29 Prague 6, Czech Republic
  • Jan Sýkora Czech Technical University in Prague, Faculty of Civil Engineering, Thákurova 2077/7, 166 29 Prague 6, Czech Republic
  • Anna Kučerová Czech Technical University in Prague, Faculty of Civil Engineering, Thákurova 2077/7, 166 29 Prague 6, Czech Republic

DOI:

https://doi.org/10.14311/APP.2017.13.0043

Keywords:

Calderón problem, Finite Element Method, Boundary inverse method, Neumann-to-

Abstract

In this contribution we focus on recovery of spatial distribution of material parameters utilizing only non-invasive boundary measurements. Such methods has gained its importance as imaging techniques in medicine, geophysics or archaeology. We apply similar principles for non-stationary heat transfer in civil engineering. In oppose to standard technique which rely on external loading devices, we assume the natural fluctuation of temperature throughout day and night can provide sufficient information to recover the underlying material parameters. The inverse problem was solved by a modified regularised Gauss-Newton iterative scheme and the underlying forward problem is solved with a finite element space-time discretisation. We show a successful reconstruction of material parameters on a synthetic example with real measurements. The virtual experiment also reveals the insensitivity to practical precision of sensor measurements.

Downloads

Published

2017-11-13

Issue

Vol. 13 (2017): NMM 2017 - Nano & Macro Mechanics 2017

Section

Articles

License

Copyright notice

Authors who publish with this journal agree to the following terms:

1. Authors retain copyright and grant the journal the right of the first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., to post it to an institutional repository or to publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges as well as earlier and greater citation of the published work (See The Effect of Open Access).