1. Principle of the test

The field studied is a \([\mathrm{0,1}]\times [\mathrm{0,1}]\) square

It is meshed into quadrangles in two different ways:

MA1: We cut the square in \(9\times 9\) QUAD4

MA2: We cut the square in \(12\times 12\) QUAD4

On mesh MA1, a thermal evolution is created by assigning to each node the temperature obtained by the formula: \(T=t\ast (1+2{(x-\mathrm{0,5})}^{2}+3{(y-\mathrm{0,25})}^{2})\) where \(t,x,y\) represent the value of the moment and the 2 coordinates of the nodes.

The temperature field (at time \(t=10\)) is then projected in several ways onto the MA2 mesh.

We test the value obtained by projection onto the coordinate point \((\mathrm{0,5};\mathrm{0,5})\).

We need to get the value \(T=\mathrm{11,875}\)