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

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)...

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Autores principales:	Joachimiak Magda, Ciałkowski Michał
Formato:	article
Lenguaje:	EN FR
Publicado:	EDP Sciences 2021
Materias:	Environmental sciences GE1-350
Acceso en línea:	https://doaj.org/article/a6aef3eabe0c407797afe9f120e8ffb0
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spelling	oai:doaj.org-article:a6aef3eabe0c407797afe9f120e8ffb02021-11-12T11:44:46ZInfluence of the heat source location on the stability of the solution to the Cauchy problem2267-124210.1051/e3sconf/202132300016https://doaj.org/article/a6aef3eabe0c407797afe9f120e8ffb02021-01-01T00:00:00Zhttps://www.e3s-conferences.org/articles/e3sconf/pdf/2021/99/e3sconf_mpsu2021_00016.pdfhttps://doaj.org/toc/2267-1242In 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.Joachimiak MagdaCiałkowski MichałEDP SciencesarticleEnvironmental sciencesGE1-350ENFRE3S Web of Conferences, Vol 323, p 00016 (2021)
institution	DOAJ
collection	DOAJ
language	EN FR
topic	Environmental sciences GE1-350
spellingShingle	Environmental sciences GE1-350 Joachimiak Magda Ciałkowski Michał Influence of the heat source location on the stability of the solution to the Cauchy problem
description	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.
format	article
author	Joachimiak Magda Ciałkowski Michał
author_facet	Joachimiak Magda Ciałkowski Michał
author_sort	Joachimiak Magda
title	Influence of the heat source location on the stability of the solution to the Cauchy problem
title_short	Influence of the heat source location on the stability of the solution to the Cauchy problem
title_full	Influence of the heat source location on the stability of the solution to the Cauchy problem
title_fullStr	Influence of the heat source location on the stability of the solution to the Cauchy problem
title_full_unstemmed	Influence of the heat source location on the stability of the solution to the Cauchy problem
title_sort	influence of the heat source location on the stability of the solution to the cauchy problem
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/a6aef3eabe0c407797afe9f120e8ffb0
work_keys_str_mv	AT joachimiakmagda influenceoftheheatsourcelocationonthestabilityofthesolutiontothecauchyproblem AT ciałkowskimichał influenceoftheheatsourcelocationonthestabilityofthesolutiontothecauchyproblem
_version_	1718430570370826240

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

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