Dear community

I am trying to find a good way to deal with the following problem.

I am interested in a Laplace-Beltrami simulation (say with unknown scalar 
field c) on a surface that advects (with displacement field u) enclosesing 
a volume of say elastic material.
The two problems are per se uncoupled, but for the geometrical evolution. 
In this regard, one may solve separately for displacements in the volume 
and for c on the surface, once the latter is informed on the displacement 
field (and related gradients) on the surface nodes (and Gauss points). 
Extracting the surface mesh from the volume is quite simple. Which is 
though the best way to extract (project) the displacement solution on the 
boundary? Any suggestion/ hint?

Many thanks,


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