The approximate location of imperfection in a unit circle using the spectrum of Laplace operator as a research tool
Journal Title: Automatyka - Year 2015, Vol 19, Issue 1
Abstract
In the following article we will try to find the dependence between the location of imperfections in a closed domain and the spectrum of the Laplace operator for this region. In the theoretical part we will define the spectral problem which is solved by eigenvalues. These eigenvalues are dependent on location and size of the imperfection. However, we are interested in the inverse task which consists in localizing the imperfection of the domain on a basis of the spectrum of the operator.
Authors and Affiliations
Mateusz Brzęk, Marta Zagórowska, Wojciech Mitkowski
Keywords
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- EP ID EP325658
- DOI 10.7494/automat.2015.19.1.9
- Views 84
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