Reference problem
=====================


Geometry
---------

We consider a rectangular plate with a length of 100 m and a width of 50 m.

D

C

A

B


Coordinates of points :math:`(m)`:

:math:`A\mathrm{:}(0.\mathrm{,0}\mathrm{.}\mathrm{,0}\mathrm{.})`

:math:`B\mathrm{:}(100.\mathrm{,0}\mathrm{.}\mathrm{,0}\mathrm{.})`

:math:`C\mathrm{:}(100.\mathrm{,50}\mathrm{.}\mathrm{,0}\mathrm{.})`

:math:`D\mathrm{:}(0.\mathrm{,50}\mathrm{.}\mathrm{,0}\mathrm{.})`


Material properties
-----------------------

:math:`E=1.0\mathit{E2}N/{m}^{2}`

:math:`\nu =0.4999`


Boundary conditions
-----------------------

We impose :math:`\mathit{DX}=\mathrm{1,}\mathit{DY}=2` on the entire mesh