Number of degrees of freedom: 256
Time of assemble_system1: 0.05
Time of assemble_system2: 0.04
+solution1 and solution2 coincide.
Writing grid to <grid-0.eps>...
Writing solution to <sol-0.gnuplot>...
+
Cycle 1:
Number of active cells: 112
Number of degrees of freedom: 448
Time of assemble_system1: 0.09
Time of assemble_system2: 0.07
+solution1 and solution2 coincide.
Writing grid to <grid-1.eps>...
Writing solution to <sol-1.gnuplot>...
+
Cycle 2:
Number of active cells: 214
Number of degrees of freedom: 856
Time of assemble_system1: 0.17
Time of assemble_system2: 0.14
+solution1 and solution2 coincide.
Writing grid to <grid-2.eps>...
Writing solution to <sol-2.gnuplot>...
+
Cycle 3:
Number of active cells: 415
Number of degrees of freedom: 1660
Time of assemble_system1: 0.32
Time of assemble_system2: 0.28
+solution1 and solution2 coincide.
Writing grid to <grid-3.eps>...
Writing solution to <sol-3.gnuplot>...
+
Cycle 4:
Number of active cells: 796
Number of degrees of freedom: 3184
Time of assemble_system1: 0.62
Time of assemble_system2: 0.52
+solution1 and solution2 coincide.
Writing grid to <grid-4.eps>...
Writing solution to <sol-4.gnuplot>...
+
Cycle 5:
Number of active cells: 1561
Number of degrees of freedom: 6244
Time of assemble_system1: 1.23
Time of assemble_system2: 1.03
+solution1 and solution2 coincide.
Writing grid to <grid-5.eps>...
Writing solution to <sol-5.gnuplot>...
once (second version of the DG method) in comparison with treating
each face twice within a nested loop over all cells and all faces of
each cell (first version), is much less than one might have
-expected. The gain is less than 16% on the last few refinement steps.
+expected. The gain is less than 20% on the last few refinement steps.
</p>
<p> First we show the solutions on the initial mesh, the mesh after two
<img src="step-12.data/sol-5.gif" alt="sol-5.gnuplot" width="75%">
</p>
-<p> And finally we show the final grid (after 5 refinement steps). The
+<p> Then we show the final grid (after 5 refinement steps). The
grid is largely concentrated in the vicinity of the jump of the
solution.
<p align="center">
<img src="step-12.data/grid-5.gif" alt="grid-5.eps" width="50%">
</p>
+
+<p> And finally we show a plot of a 3d computation.
+<p align="center">
+ <img src="step-12.data/sol-5-3d.gif" alt="sol-5-3d.eps" width="50%">
+</p>