Solution of energy equation using the interval boundary element method

• Autorzy: Piasecka-Belkhayat A.
• Języki publikacji: EN

Abstrakty

EN

In the paper the 1D energy equation with an interval source function is considered. For this type of equation the 1st scheme of the interval boundary element method is presented. As an example the pure metal crystallization process is analyzed. In the final part of the paper the results of numerical computations for the cooper crystallization process with the interval source function are shown.

Słowa kluczowe

EN

energy equation; interval boundary element method

PL

równanie energii; przedziałowa metoda elementów brzegowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 219--226
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Piasecka-Belkhayat A.

• Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Poland,

Bibliografia

• [1] Neumaier A., Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney 1990.
• [2] Brebbia C.A., Telles J.C.F., Wrobel L.C., Boundary Element Techniques, Springer-Verlag 1984.
• [3] Majchrzak E., Boundary element method in heat transfer, Publ. of Czestochowa Univ. of Technology, Czestochowa 2001 (in Polish).
• [4] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow,1995.
• [5] Piasecka Belkhayat A., Modelling of two-dimensional transient diffusion problem with interval thermal parameters and interval boundary conditions, 17th International Conference on Computer Methods in Mechanics CMM-2007, Short Papers, Łódź-Spała 2007, 311-312.
• [6] Kapturkiewicz W., Modelling of cast iron crystallization, Akapit, Cracow 2003 (in Polish).
• [7] Majchrzak E., Piasecka A., The numerical micro/macro model of solidification process, Journal of Materials Processing Technology 1997, 64, 267-276.