Reference solution
=====================

Calculation method used for the reference solution
--------------------------------------------------------

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


Benchmark results
----------------------

Temperature at points :math:`BCDEH` and :math:`I` at time :math:`t=\mathrm{0.1s}`


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

Unknown.


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.