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- W2079506747 abstract "We consider a material $Omega subset mathbb{R}^n $ which occupies a convex polygonal bounded domain with regular boundary $Gamma = Gamma _1 cup Gamma _2 $ (with $mathop {Gamma _1 }limits^ circ cap mathop {Gamma _2 }limits^ circ = phi $) with meas $(Gamma _1 ) = | {Gamma _1 } | > 0$ and $| {Gamma _2 } | > 0$. We assume, without loss of generality, that the melting temperature is $0^ circ $C. We apply a temperature $b = {text{const}} > 0$ on $Gamma _1 $ and a heat flux $q = {text{const}} > 0$ on $Gamma _2 $. We consider a steady-state heat conduction problem in $Omega $. We consider a regular triangulation of the domain $Omega $ with Lagrange triangles of type 1. We study sufficient (and/or necessary) conditions on the heat flux q on $Gamma _2 $ to obtain a change of phase (steady-state, two-phase, discretized Stefan problem) in the corresponding discretized domain, that is, a discrete temperature of nonconstant sign in $Omega $." @default.
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- W2079506747 date "1996-08-01" @default.
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- W2079506747 title "Numerical Analysis for the Heat Flux in a Mixed Elliptic Problem to Obtain a Discrete Steady-State Two-Phase Stefan Problem" @default.
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- W2079506747 doi "https://doi.org/10.1137/s0036142993240187" @default.
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