2. Benchmark solution

2.1. Calculation method used for the reference solution

Analytical solution:

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

2.2. Benchmark results

Temperature at points \(E,F,G,H,I\)

2.3. Uncertainty about the solution

Analytical solution.

2.4. References

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.