Processing may take a few seconds...

Article


Title

Influence of the heat source location on the stability of the solution to the Cauchy problem

Authors

[ 1 ] Instytut Energetyki Cieplnej, Wydział Inżynierii Środowiska i Energetyki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.9] Environmental engineering, mining and energy

Year of publication

2021

Published in

E3S Web of Conferences

Journal year: 2021 | Journal volume: vol. 323

Article type

scientific article / paper

Publication language

english

Keywords
EN
  • Cauchy-type inverse problem
  • modified Tikhonov regularization
  • Morozov principle
Abstract

EN In this paper the solution to the Cauchy-type inverse problem for the Laplace’s equation is presented. A modified Tikhonov regularization was applied here. The regularization parameter was chosen using the Morozov principle. The relation between the location of the heat source (function singularity) and the stability of the solution to the inverse problem was analyzed. Variable thermal loads in the area were simulated by changing the location of heat sources along two boundaries of the rectangle calculation domain.

Pages (from - to)

00016-1 - 00016-2

DOI

https://doi.org/10.1051/e3sconf/202132300016

URL

https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/99/e3sconf_mpsu2021_00016.pdf

Comments

article number: 00016

Presented on

V International Scientific and Technical Conference Modern Power Systems and Units, MPSU 2021, 19-21.05.2021, Kraków, Poland

License type

CC BY (attribution alone)

Points of MNiSW / journal

5.0

Points of MNiSW / journal in years 2017-2021

5.0

This website uses cookies to remember the authenticated session of the user. For more information, read about Cookies and Privacy Policy.