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


Calculation method
-----------------

The reference solution is obtained by refining the modeling A mesh (classical elements with mesh crack): regular mesh composed of :math:`500\mathrm{\times }500` QUAD4 (instead of :math:`100\mathrm{\times }100` QUAD4 for mesh A)


Reference quantities and results
------------------------

The temperature is tested at the end of the last time step (:math:`t=1\text{.}s`) at points :math:`{P}^{\text{+}}`, :math:`{P}^{\text{-}}` and :math:`Q` (see Figure).


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "Point :math:`{P}^{\text{+}}` - :math:`\mathit{TEMP}` ", "'AUTRE_ASTER'", "29.156091860463°C"
    "Point :math:`{P}^{\text{-}}` - :math:`\mathit{TEMP}` ", "'AUTRE_ASTER'", "23.393394671258 °C"
    "Point :math:`Q` - :math:`\mathit{TEMP}` ", "'AUTRE_ASTER'", "26.25259365185°C"