Dear All,

First the disclaimer: I'm new to dealII and I would like to appeal to
your experience with the library for advice to tackle the following
type of problems.

I'm interested in working on free boundary problems, in particular
where there is a bulk mesh that interacts with it's boundary through
some PDE, a typical example are fluid-membrane interaction or shape
optimization problems.

For the methods I like to try I need somehow the following facilities:

-Given a dim_of_world mesh be able to extract a co-dimension 1 boundary mesh
-These two meshes (volume and surface) are to remain conforming. If
one gets refined the other should be also consistently refined and
synchronized when moved.
-The ability to trace a bulk fe_function to the boundary and viceversa.

I would appreciate if you have worked on something similar and could
give me some pointer.

This email was kept short on the sake of readability, but please let
me know if you have question or want to know more details.

Best,

-Sebastian
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