Doug,
let me add another thought I had: While the vertex locations of the mesh are
hard-coded as doubles (and you won't be able to change that), there is a class
MappingEulerian that allows you to provide a displacement field. This field is
parameterized by a vector of some sort, and it is possible that you can make
it work if that field is a vector of some AD type for which you can thread the
remainder of the computations through AD evaluations.
I don't know whether that's going to work out any easier. but I did want to
point it out as an option worth reading through.
Best
W.
--
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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