Thanks for the reply Markus.  I have looked through the link that you
mentioned

http://www.dealii.org/developer/doxygen/deal.II/classFE__Nedelec.html

and do not see any mention of trilinear transformations.  I do see bilinear
mentioned in the paragraph

"The first reason is that the gradient of the Jacobian vanishes if the cells
are mapped by an affine mapping, to which the usual bilinear mapping reduces
if the cell is a parallelogram. Then the gradient of the shape functions is
computed exact, since the first term is zero."

But this seems to imply that the transformation is again affine (combination
of rotation, scaling, shear, and a translation/shift) as I interpret it as a
shear.  So it does not appear that a real bilinear or trilinear
transformation is mentioned, where the jacobian of the element mapping is
non-constant.  This kind of situation arises in the torus I am meshing,
where I get trilinear transformations.  I cannot seem to get away from this,
or would be happy to use a affine transformation.  I guess my question is
whether or not something special has to be done for stiffness matrix
integrals having Nedelec shape functions with trilinear mappings from the
reference element to the real elements?

Thanks,
Dan


On Thu, Jul 28, 2011 at 12:46 AM, Markus Bürg <[email protected]> wrote:

> **
> Hello Dan,
>
> you can use them in the same way as all other (vector-valued) elements. The
> transformation is already implemented and will be used automatically.
>
> Best Regards,
> Markus
>
>
>
> Am 27.07.11 21:11, schrieb Daniel Brauss:
>
> Hi all,
>
> I was wondering if anything special needs to be done for a Nedelec element
> in terms of a
> transformation (Piola maybe) when writing local matrix entries (integrals)
> or if this is taken care of implicitly by dealii and
> I can use the same format as in the tutorials.  Thanks,
>
> Dan Brauss
>
>
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