2. Reference solution

2.1. Calculation method used for the reference solution

The reference solution is a numerical solution obtained by the finite element method [bib2] mentioned in the reference [bib1]. This solution is based on a mesh of 168 square elements with \(\mathrm{0.05m}\) on the side, with 200 time steps (\(\Delta t=0.0005s\)).

2.2. Benchmark results

Temperature at points \(BCDEH\) and \(I\) at time \(t=\mathrm{0.1s}\)

2.3. Uncertainty about the solution

Unknown.

2.4. Bibliographical references

J.C. Bruch Jr., G. Zyroloski, “Transient two-dimensional heat conduction problems solved by the finite element method”,*Int. Num.*Meth. Engng, vol. 8, no. 3, pp 481-494, 1974.

• G.E. Bell, « A method for treating boundary singularities in time-dependent problems » TR/8, Dept. of Math., Brunel Univ. Uxbridge, Middlesex, 19 pp., 1972.