Boundary element method in the inverse problems of steady heat transfer

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

Abstrakty

EN

The methods of inverse problems solution appearing in the domain of steady heat transfer are discussed. In particular, the inverse boundary problems (the identification of the boundary values on the part of the surface limiting the system analyzed) and the inverse parametric problems (reconstruction of the thermophysical parameters of the material) are considered. Such problems have been solved using (on the stage of numerical computations) the boundary element method. The different methods of inverse problems solution have been applied. So, the direct method, the least squares method in the basic version, the same method supplemented by the regularization terms, the method of the energy minimization and also the algorithm basing on the sensitivity coefficients have been taken into account. The computations can been realized for different numbers and positions of the control points, the possible disturbances of 'measured' temperatures have been also taken into account. The remarks concerning the exactness and effectiveness of successive methods of the inverse problem solution have been formulated. The theoretical considerations are supplemented by the examples of computations verifying the correctness of the algorithms proposed. by the examples of computations verifying the correctness of the algorithms proposed.

Słowa kluczowe

EN

boundary element method; inverse problem; steady heat transfer

PL

metoda elementów brzegowych; zagadnienia odwrotne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2003
• Tom: Vol. 2, nr 1
• Strony: 77--86
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Majchrzak E.

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

autor

Freus K.

• Silesian University of Technology, Gliwice

Bibliografia

• [1] Alifanov O.M., Inverse heat transfer problems, Springer-Verlag 1994.
• [2] Beck J.V., Arnold K.J., Parameter estimation in engineering and science, Wiley, New York 1977.
• [3] Hensel E., Inverse Theory and Applications for Engineers, Prentice Hall, New Yersey 1991.
• [4] Ingham D.B., Improperly posed problems in heat transfer, [in:] Boundary element methods in heat transfer, eds. L.C. Wrobel, C.A. Brebbia, Computational Mechanics Publications, Southampton, Boston 1997, 269-294.
• [5] Kurpisz K., Nowak A.J., Inverse thermal problems, Computational Mechanics Publications, Southampton, Boston 1995, 259-298.
• [6] Nowak A.J., BEM approach to inverse thermal problems, [in:] Boundary integral formulations for inverse analysis, eds. D.B. Ingham, L.C. Wrobel, Computational Mechanics Publications, Southampton, Boston 1997, 259-298.
• [7] Ozisik M.N., Orlande H.R.B., Inverse heat transfer: fundamentals and applications, Taylor and Francis, Pennsylvania 1999.
• [8] Brebbia C.A., Dominguez J., Boundary elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [9] Majchrzak E., Metoda elementów brzegowych w przepływie ciepła, Wyd. Politechniki Częstochowskiej, Częstochowa 2001.
• [10] Freus K., Metoda elementów brzegowych w zadaniach odwrotnych ustalonego przepływu ciepła, Praca doktorska, Politechnika Częstochowska, Częstochowa 2002.

Uwagi

EN

The papers have been presented during the session devoted to application of mathematics (as part of International Conference on Parallel Processing and Applied Mathematics).