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Journals / Istanbul University Journal of Electrical and Electronics Engineering / 2005 / Cilt: 5 - Sayı: 2

On the inverse point-source problem of the Poisson equation

Melih GEÇKİNLİ
Melek YILMAZ
Metin ŞENGÜL
Pages
1395–1401
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

When white Gaussian noise is added to the measurements, no catastrophic failure has been observed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, a basic inverse heat conduction problem of a simple 2-D model with steady state heat source is taken into view.
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Key Findings & Data:The physical problem is for a square region with uniform thermophysical properties and a point heat source of unit magnitude.
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Conclusion & Impact:When white Gaussian noise is added to the measurements, no catastrophic failure has been observed.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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.

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Cite This Article

GEÇKİNLİ, M., YILMAZ, M., ŞENGÜL, M. (2022). On the inverse point-source problem of the Poisson equation. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 5 - Sayı: 2, 1395–1401. https://ajindex.com/articles/543842

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