This is how the new dune-functions bases should be used.  Also, it is yet
another step towards merging CosseratEnergyLocalStiffness and MixedCosseratEnergy.

The DR variable (the derivative of the microrotation R wrt space) had dimensions 3x3x3.
This is two big in a shell context, because there are actually only two space dimensions.
Hence the correct size is 3x3xgridDim.

The results without this patch were not wrong, though, only a bit wasteful.

Getting intersections from the element has been deprecated for a long time,
because the precise intersection one gets does not only depend on the element,
but also on the grid view.

[[Imported from SVN: r10090]]

[[Imported from SVN: r10088]]

[[Imported from SVN: r9949]]

This form allows to set the shear correction factor kappa.  It is still
not ruled out that we need to twiddle with this factor in order to
weaken the material a little bit.

[[Imported from SVN: r9937]]

This bug has now influence as long as mu_c is zero, but for
non-zero mu_c there was one term missing.

[[Imported from SVN: r9865]]

[[Imported from SVN: r9785]]

The CosseratStrain object is a 3x3 matrix, where the last column
is (0,0,1)^T.  This special structure allows to use specially tuned
matrix methods (e.g., the determinant), which I intent to do in the
future.

[[Imported from SVN: r9752]]

This move more than halfs the size of this file, and makes it *much* easier
to understand.  If we ever need the gradient code we can still recover it
from the 2.3-2 branch.

[[Imported from SVN: r9650]]

It used to be a compile-term error, but now that we have ADOL-C support
the missing gradient is not a problem anymore.

[[Imported from SVN: r9516]]

This patch brings it back.

[[Imported from SVN: r9477]]

[[Imported from SVN: r9402]]

The only exception is the material parameters.  ADOL-C (for which
we are doing this), doesn't need to have them in a special type.

[[Imported from SVN: r9401]]

Saves us one call to sqrt().

[[Imported from SVN: r9400]]

[[Imported from SVN: r9389]]

[[Imported from SVN: r9388]]

[[Imported from SVN: r9387]]

[[Imported from SVN: r9308]]

[[Imported from SVN: r9290]]

    
Very surprisingly, it appears to work...

[[Imported from SVN: r9286]]

[[Imported from SVN: r9285]]

    
I still do not really understand it, but I believe it is
correct nevertheless.

[[Imported from SVN: r9282]]

[[Imported from SVN: r8627]]

There were two issues fixed by this patch:

a) The bending energy only involves the third director.
   One must look at it as a function in S^2, not as
   a subset of coefficients of a function to SO(3).
   This means that we have to use a different projection
   in one place.
b) A certain subset of the coefficients (see the code)
   must always be zero, because they are parts of
   3-vectors which are known to be perpendicular to (0,0,1).
   For some strange reason they aren't.  I now hardwire
   them to be 0 anyway.  This makes my test pass.
   Maybe one day I'll find the true reason :-)

[[Imported from SVN: r8626]]

of Neumann boundary forces.  But I am not sure and I want to
postpone the issue.  Therefore this patch adds a cpp warning.

[[Imported from SVN: r8625]]

Don't use a loop with 4 iteration to clear an array,
if the array has only length 3.

Boy, this did take a while to find...

[[Imported from SVN: r8593]]

[[Imported from SVN: r8572]]

[[Imported from SVN: r8571]]

[[Imported from SVN: r8570]]

[[Imported from SVN: r8569]]

Because trace(sym(A)) == trace(A)

[[Imported from SVN: r8568]]

[[Imported from SVN: r8567]]

[[Imported from SVN: r8566]]

[[Imported from SVN: r8565]]

[[Imported from SVN: r8409]]

implement the remaining curvature and bending terms for the energy gradient.  These are not working yet, though.

[[Imported from SVN: r8408]]

So far, the long form of the quadratic bending energy has been
implemented and tested, and it appears to do the right thing.

This is a snapshot commit.  The code remains out-commented until
it is finished.

[[Imported from SVN: r8403]]