Identification of internal hole parameters on the basis of boundary temperature

• Autorzy: Majchrzak E. , Tarasek D.
• Języki publikacji: EN

Abstrakty

EN

The Laplace equation describing temperature field in 2D domain with an internal hole of circle shape supplemented by adequate boundary conditions is considered. On the basis of known temperature at the fragment of boundary the position of circle center or its radius is identified. To solve the inverse problem discussed the least square criterion is formulated, and next the gradient method coupled with the boundary element method is applied. To determine sensitivity coefficients the shape sensitivity analysis is used. In the final part of the paper the examples of computations are shown.

Słowa kluczowe

EN

boundary conditions; Laplace equation; boundary element method; inverse problem; shape sensitivity analysis

PL

metoda elementów brzegowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 147--154
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Majchrzak E.

autor

Tarasek D.

• Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Brebbia C.A., Domingues J., Boundary elements, an introductory course, CMP, McGraw-Hill Book Company, London 1992.
• [2] Majchrzak E., Boundary element method in heat transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [3] Majchrzak E., Tarasek D., Shape sensitivity analysis with respect to the parameters of internal hole, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2008, 1(7), 129-140.
• [4] Burczyński T., Sensitivity analysis, optimization and inverse problems, in: Boundary element advances in solid mechanics, Springer-Verlag, Wien, New York 2004.
• [5] Kleiber M., Parameter sensitivity, J. Wiley & Sons Ltd., Chichester 1997.
• [6] Majchrzak E., Kałuża G., Paruch M., Sensitivity analysis of temperature field with respect to the radius of internal hole, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 165-172.
• [7] Kurpisz K., Nowak A.J., Inverse Thermal Problems, Computational Mechanics Publications, Southampton-Boston 1995, 259-298.