Identification of boundary heat flux using the global function specification

• Autorzy: Majchrzak E. , Freus K. , Mendakiewicz J.
• Języki publikacji: EN

Abstrakty

EN

In the paper the inverse problem consisting in the identification of boundary heat flux is presented. On the basis of the knowledge of heating curves at the selected points from the domain the time dependent value of boundary heat flux is identified. In order to solve the problem the global function specification method has been used, on the stage of numerical computations the boundary element method has been applied. In the case of disturbed input data the regularization procedures have been introduced. The theoretical considerations are supplemented by the examples of computations.

Słowa kluczowe

EN

boundary heat flux; global function specification method

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2005
• Tom: Vol. 4, nr 1
• Strony: 147--156
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Majchrzak E.

• Silesian University of Technology, Gliwice
• Czestochowa University of Technology, Czestochowa

autor

Freus K.

• Czestochowa University of Technology, Czestochowa

autor

Mendakiewicz J.

• Czestochowa University of Technology, Czestochowa

Bibliografia

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• [3] Kurpisz K., Nowak A.J., Inverse thermal problems. Computational Mechanics Publications, Southampton, Boston 1995, 259-298.
• [4] Minkowycz W., Sparrow E., Schneider G., Pletcher H., Handbook of numerical heat transfer, J. Wiley & Sons, New York 1988.
• [5] Brebbia C.A., Dominguez J., Boundary elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [6] Majchrzak E., Boundary element method in heat transfer, Publ. of the Czestochowa University of Technology, Czestochowa 2001 (in Polish).
• [7] Tikhonov A.N., Arsenin V.Y., Solutions of ill-posed problems, Winston & Sons, Washington D.C. 1977.
• [8] Prud’homme M., Hung Nguyen T., On the iterative regularization of inverse heat conduction problems by conjugate gradient method, Int. Comm. Heat Mass Transfer 1998, 25, 7, 999-1009.
• [9] Scherzer O., Engl H.W., Kunisch K., Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems, SIAM Journal of Numerical Analysis 1993, 30, 6, 1796-1838.