TY - JOUR ID - Bożek2004 LB - Bożek2004 AU - Bożek, Bogusław TI - Discretization of the stationary distribution of heat in the non-homogeneous body ST - Discretization of the stationary distribution of heat in the non-homogeneous body JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2004 VL - 24 IS - 1 SP - 19 EP - 33 DO - http://dx.doi.org/10.7494/OpMath.2004.24.1.19 UR - http://dx.doi.org/10.7494/OpMath.2004.24.1.19 AB - 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. KW - elliptic partial differential equations KW - stationary distribution of heat KW - discretization method SN - 1232-9274 ER -