Application of the interval methods for solving linear thermal diffusion problems

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

Abstrakty

EN

The example of two-dimensional non-steady state heat flow using the interval arithmetic and the 1st scheme of the boundary element method is presented. This example is a typical linear task, where the boundary of the homogeneous domain is an interval. In the final part of the paper, results of numerical computations are shown with the different boundary conditions.

Słowa kluczowe

EN

interval methods; linear thermal diffusion

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2005
• Tom: Vol. 4, nr 1
• Strony: 204--210
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Belkhayat-Piasecka A.

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

Bibliografia

• [1] Neumaier A., Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney 1990.
• [2] Majchrzak E., Boundary element method in heat transfer, Publ. of the Technological University of Czestochowa, Czestochowa 2001 (in Polish).
• [3] Majchrzak E., Mochnacki B., The BEM application for numerical solution of non-steady and non-linear thermal diffusion problems, Computer Assisted Mechanics and Engineering Sciences, Vol. 3, No 4, 1996, 327-346.
• [4] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.