E3S Web Conf.
Volume 323, 2021V International Scientific and Technical Conference Modern Power Systems and Units (MPSU 2021)
|Number of page(s)||2|
|Published online||10 November 2021|
Influence of the heat source location on the stability of the solution to the Cauchy problem
Institute of Thermal Engineering, Poznan University of Technology, 60-965 Poznan, Poland
* Corresponding author: firstname.lastname@example.org
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.
© The Authors, published by EDP Sciences, 2021
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