Yıl: 2005 Cilt: 5 Sayı: 2 Sayfa Aralığı: 1395 - 1401 Metin Dili: İngilizce

On the inverse point-source problem of the Poisson equation

Öz:
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.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA YILMAZ M, ŞENGÜL M, GEÇKİNLİ M (2005). On the inverse point-source problem of the Poisson equation. Istanbul University Journal of Electrical and Electronics Engineering, 5(2), 1395 - 1401.
Chicago YILMAZ Melek,ŞENGÜL Metin,GEÇKİNLİ Melih On the inverse point-source problem of the Poisson equation. Istanbul University Journal of Electrical and Electronics Engineering 5, no.2 (2005): 1395 - 1401.
MLA YILMAZ Melek,ŞENGÜL Metin,GEÇKİNLİ Melih On the inverse point-source problem of the Poisson equation. Istanbul University Journal of Electrical and Electronics Engineering, vol.5, no.2, 2005, ss.1395 - 1401.
AMA YILMAZ M,ŞENGÜL M,GEÇKİNLİ M On the inverse point-source problem of the Poisson equation. Istanbul University Journal of Electrical and Electronics Engineering. 2005; 5(2): 1395 - 1401.
Vancouver YILMAZ M,ŞENGÜL M,GEÇKİNLİ M On the inverse point-source problem of the Poisson equation. Istanbul University Journal of Electrical and Electronics Engineering. 2005; 5(2): 1395 - 1401.
IEEE YILMAZ M,ŞENGÜL M,GEÇKİNLİ M "On the inverse point-source problem of the Poisson equation." Istanbul University Journal of Electrical and Electronics Engineering, 5, ss.1395 - 1401, 2005.
ISNAD YILMAZ, Melek vd. "On the inverse point-source problem of the Poisson equation". Istanbul University Journal of Electrical and Electronics Engineering 5/2 (2005), 1395-1401.