Shape sensitivity analysis with respect to the parameters of internal hole

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

Abstrakty

EN

The Laplace equation describing temperature field in 2D domain supplemented by adequate boundary conditions is considered. The aim of investigations is to estimate the changes of temperature due to changes of shape parameter (e.g. radius or position of internal hole). To solve the problem, the implicit differentiation method of shape sensitivity analysis coupled with the boundary element method is applied.

Słowa kluczowe

EN

shape sensitivity analysis; boundary element method; Laplace equation; temperature field

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 1
• Strony: 129-140
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Majchrzak, E.

autor

Tarasek, D.

• Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Brebbia C.A., Dominguez 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 Czestochowa University of Technology, Czestochowa 2001 (in Polish).
• [3] Burczyński T., Sensitivity analysis, optimization and inverse problems, (in:) Boundary element advances in solid mechanics, Springer-Verlag, Wien, New York 2004.
• [4] Kleiber M., Parameter sensitivity, J.Wiley & Sons Ltd., Chichester 1997.
• [5] 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, Czestochowa University of Technology 2005, 1(4), 165-172.