Opuscula Math. 24, no. 1 (2004), 19-33
Opuscula Mathematica
Discretization of the stationary distribution of heat in the non-homogeneous body
Abstract. We give a short survey on the theory of the mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium defined on any Lipschitz domain \(\Omega\subset\mathbb{R}^n\) (\(n\geq 2\)). The compatibility condition for the thermal flux has been established by the standard procedure of integration the divergence.
Keywords: elliptic partial differential equations, stationary distribution of heat, discretization method.
Mathematics Subject Classification: 35J25, 35J20, 35J67, 65N30, 41A65.
- Bogusław Bożek
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
- Received: 2004-03-02.
