Reference solution
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Calculation method used for the reference solution
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The stationary analytical solution is obtained by solving a zero Laplacian on each of the two plates of the form :math:`T(x)=\mathrm{ax}+b`, the 4 coefficients (2 per plate) are obtained by explaining the boundary conditions:

:math:`0.\le x\le 0.495:T={T}_{0}+\frac{h({T}_{L}-{T}_{0})}{\lambda +h({l}_{1}+{l}_{2})}x`

:math:`0.505\le x\le 1.:T={T}_{L}-\frac{h({T}_{L}-{T}_{0})}{\lambda +h({l}_{1}+{l}_{2})}(L-x)`


Benchmark results
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Temperatures on line :math:`y=0`


Uncertainty about the solution
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Analytical solution.