> I have two independent and unstructured 3D meshes (let's think about two
> cubes with the same geometry but with different and unstructured
> meshes), the joint of these two meshes is a plane on the z-axis.
> In each of the two first meshes, I calculate two different variables
> respectively that, later, must be taken as initial values for
> calculating another variable over the third mesh on the z-axis.

In that case, the FEFieldFunction class is probably what you want. It looks 
like a Function object that you can pass to VectorTools::interpolate, for 
example, to interpolate onto your third mesh. And it gets its function 
values by interpolating values from the first (or second) mesh.

Best
 W.

-------------------------------------------------------------------------
Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/

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