2. Benchmark solution#
2.1. Calculation method used for the reference solution#
Analytical solution:
\(T(r)=6.25(25-{r}^{2})\)
2.2. Benchmark results#
Temperature for \(r=0.,0.625,1.25,1.875,2.5,3.125,3.75,4.375,5.\)
2.3. Uncertainty about the solution#
Analytical solution.
2.4. Bibliographical references#
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.