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


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

Analytical solution:

:math:`T(r)=6.25(25-{r}^{2})`


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

Temperature for :math:`r=0.,0.625,1.25,1.875,2.5,3.125,3.75,4.375,5.`


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

Analytical solution.


Bibliographical 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.