Thomas,
I was able to solve for the vector mean curvature using the weak form of
the identity k_bar = laplacian_X id_X, where X is a codimension 1
manifold without boundary. The image above is a plot of the square of
the mean curvature on an ellipsoid with semi principle axes a=1,b=2,c=3.
Great, this looks roughly correct I would say. Have you checked that the
numerical values are correct as well?
I think this would actually make for a really nice addition to the set
of tutorials, or the code gallery at
http://dealii.org/code-gallery.html
Would you be interested in getting it there? (Maybe after rewriting it
in such a way that you solve for all three components at once?)
Cheers
W.
--
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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