Calculation of distribution of temperature in three-dimensional solid changing its shape during the process

Abstract

The present paper suplements and continues [Bożek B., Filipek R., Holly K., Mączka C.: Distribution of temperature in three-dimensional solids. Opuscula Mathematica 20 (2000), 27-40]. Galerkin method for the Fourier–Kirchhoff equation in the case when \(\Omega(t)\) – equation domain, dependending on time \(t\), is constructed. For special case \(\Omega(t) \subset \mathbb{R}^2\) the computer program for above method is written. Binaries and sources of this program are available on http://wms.mat.agh.edu.pl/~bozek.

Keywords

• parabolic partial differential equations
• non-stationary distribution of heat
• finite element method
• Galerkin method