> am I correct in reading  shape_hessian  is now
> shape_2nd_derivative ?

The other way round, you should use shape_hessian.


> For example, the three dimensional beam problem has
> fourth derivatives in the PDE in all dimensions.

You would use a mixed approach, or implement plate elements.


> I have a long way to go to learn the "deal.II diction" as you say,
> and I have to understand the "abstractions" in order to use them.

You will want to read this page to understand how to code the Navier-Stokes 
equations:
  
http://www.dealii.org/developer/doxygen/deal.II/group__vector__valued.html

W.

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

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