On the inverse point-source problem of the poisson equation
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Dosyalar
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Istanbul University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, a basic inverse heat conduction problem of a simple 2-D model with steady state heat source is taken into view. The physical problem is for a square region with uniform thermophysical properties and a point heat source of unit magnitude. To obtain boundary data, temperature probes are placed at the midpoints of the sides of the square domain. The objective of the inverse problem is to estimate the coordinates of the point source with the least amount of data. Initially, the inverse problem is analyzed to determine the main causes that render the problem ill conditioned. As for the solution, among the methods that has been tried so far, the best results are obtained from a backpropagating ANN with four-probe data. When white Gaussian noise is added to the measurements, no catastrophic failure has been observed.
Açıklama
Anahtar Kelimeler
Artificial neural networks, Backpropagation, Gaussian noise (electronic), Heat conduction, Heat conduction problem, Heat sources, Inverse heat, Inverse problems, Inverse heat conduction problem, Neural networks, Poisson equation, Self organizing maps, Thermodynamic properties
Kaynak
Istanbul University - Journal of Electrical and Electronics Engineering
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
5
Sayı
2
Künye
Yılmaz, M., Şengül, M. & Geçkinli, M. (2005). On the inverse point-source problem of the poisson equation. Istanbul University - Journal of Electrical and Electronics Engineering, 5(2), 1395-1401.