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On Sun, Aug 23, 2009 at 03:08:28PM -0500, Peter Brune wrote: > The higher-order normal is the reference normal transformed by the Piola > transform. Interestingly, it's actually easier to get the local facet length > out of this than it is to compute it "manually". This is of course: > > n_iso = (1 / |J_surface|) * J * n_ref (I might be missing an inverse... it's > getting late) > > Anyways, you can normalize the normal computed here to get the local jacobian > determinant for the surface, because you can just use your higher-order cell > jacobian to get your normal going in the right "direction, and of course > it's... normalized, making life easier. Two birds with one stone. This would > mean that facet integrals would need the corresponding cell Jacobian, but > that's the case with both affine and higher-order normals. Right now I'm doing > this by appending a higher-order normal function as well as higher-order > coordinates to the form with a transformer. > > Thoughts? Sounds good to me but I don't have time to fix it. -- Anders
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