Benchmark solution
=====================


Calculation method used for the reference solution
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Analytical solution:

:math:`T(x,y)=\mathrm{sinh}[\pi (1.0-y)]\mathrm{sin}(p)/\mathrm{sinh}(\pi )`


Benchmark results
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Temperature at points :math:`E,F,G,H,I`


Uncertainty about the solution
---------------------------

Analytical solution.


References
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1. W.K. Liu, T. Belytschko, "Efficient linear and nonlinear heat conduction with a quadrilateral element", Int. J. num. Meth. Engng, vol. 20, no. 5, pp. 931-948, 1984.