On the inverse point-source problem of the poisson equation

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Tarih

2005

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Yayıncı

Istanbul University

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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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.