Buradasınız

Anasayfa » Content

ON THE INVERSE POINT-SOURCE PROBLEM OF THE POISSON EQUATION

Journal Name:

  • Istanbul University Journal of Electrical & Electronics Engineering

Publication Year:

  • 2005

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
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.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-inverse-point-source-problem-poisson-equation.pdf
  • 2
1395-1401
  • English

REFERENCES

References: 

[1] Özışık M.N., Orlande H.R.B., Inverse
Heat Transfer:Fundamentals and Applications,
Taylor & Francis, 2000.
[2] Kurpisz K., Nowak A.J., Inverse
Thermal Problems, Computational Mechanics
Publications, Southhampton, UK, 1995.
[3] Hensel E., Inverse Theory and
Applications for Engineers, Prentice-Hall, 1992
[4] Engl H.W., Hanke M., Neubauer A.,
Regularization of Inverse Problems, Kluwer
Academic Publishers, Dordrecht, 2000.
[5] Alifanov O.M., Inverse Heat Transfer
Problems,Springer-Verlag, 1994.
[6] Hensel E., Inverse Theory and
Applications for Engineers, Prentice Hall, 1991.
[7] Gencer N.G., Tanzer I.O.,”Forward
Problem Solution of Electromagnetic Source
Imaging Using a New BEM Formulation with
High-Order Elements”,Phys. Med. Biol.,Vol. 44
,pp. 2275–2287, 1999.
[8] Kim S.K., Lee W.I., “Solution of
Inverse Heat Conduction Problems Using
Maximum Entropy Method”, Int. J. Heat Mass
Transfer, Vol.45, pp.381-391, 2002.
[9] Huang C.-H., Cheng S.-C., “A Three-
Dimensional Inverse Problem of Estimating the
Volumetric Heat Generation for a Composite
Material”, Numerical Heat Tr. Part A, Vol. 39,
pp. 383-403, 2001.
[10] Huang C-H, Chin S-C, “A Two-
Dimensional Inverse Problem in Imaging the
Thermal Conductivity of a Non-Homogeneous
Medium”, International Journal of Heat and
Mass transfer, Vol. 43, 2000.
[11] Chan H.-T., “Estimation of Surface
Temperature in Two-Dimensional Inverse Heat
Conduction Problems”, Int. J. HeatMass Tr. Vol.
44, pp. 1455-1463, 2001.
On The Inverse Point-Source Problem Of The Poisson Equation
Melek YILMAZ, Metin ŞENGÜL, Melih GEÇKİNLİ
1401
[12] Reed R.D., Marks R.J., Neural
Smithing: Supervised Learning in Feedforward
Artificial Neural Networks, The MIT Press,
1999.
[13] Haykin S., Neural Networks: A
Comprehensive Foundation, 2nd ed., Prentice
Hall International, 1999.

Thank you for copying data from http://www.arastirmax.com