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

The results of modeling B (mesh method) are taken as a reference.

For the B, C, G and H models, we check the non-regression of the code in relation to the position of the crack bottom.

For the A, D, E, F, I and J models **,** we check that the nodes closest to the crack bottom trace on plane :math:`(\mathrm{1,}y,z)` at the last moment of propagation have their level-set very close to zero.


+--------------------------+----------+------------------------------+------------------------------+
|**Instant of propagation**|**Knot**  |**Coordinate** :math:`{y}_{i}`|**Coordinate** :math:`{z}_{i}`|
+--------------------------+----------+------------------------------+------------------------------+
|3                         |N219 ROAD |3.14                          |9.00                          |
+                          +----------+------------------------------+------------------------------+
|                          |N1576 ROAD|2.57                          |8.70                          |
+                          +----------+------------------------------+------------------------------+
|                          |N1577 ROAD|2.86                          |8.70                          |
+                          +----------+------------------------------+------------------------------+
|                          |N2636 ROAD|2.57                          |9.30                          |
+                          +----------+------------------------------+------------------------------+
|                          |N2637 ROAD|2.86                          |9.30                          |
+--------------------------+----------+------------------------------+------------------------------+

These nodes are those included in a capture radius equal to the largest edge of an element, centered on the trace of the crack bottom on plane :math:`(\mathrm{1,}x,y)`.

These nodes are identified in the message file (:math:`\mathrm{.}\mathrm{mess}`) of modeling B and the value of their level-sets in models A, D, E, F, F, I, and J is estimated.