Dear Juan Carlos,

We have now finalized the TransfiniteInterpolationManifold implementation 
in deal.II, 
http://dealii.org/developer/doxygen/deal.II/classTransfiniteInterpolationManifold.html

If you are interested, please try it out and let us know. As its 
implementation is completely new and I have only applied it to two 
applications in my group, there might still be issues, so let us know.

By the way, if you are working on a 2D disk I recommend using PolarManifold 
rather than SphericalManifold. I have not yet looked in your code, but I 
recommend to try the transfinite interpolation manifold first.

Best,
Martin

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