Opuscula Mathematica

Opuscula Math.
 24
, no. 1
 (), 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.
Cite this article as:
Bogusław Bożek, Discretization of the stationary distribution of heat in the non-homogeneous body, Opuscula Math. 24, no. 1 (2004), 19-33
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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