On 01/17/2018 11:59 AM, Daniel Arndt wrote:
These terms are simply zero if you consider Q1 elements for the velocity. I

That's true only if you're on affine meshes. In general, the Laplacian of a Q1 function on an arbitrary mesh is not zero.

That doesn't mean, though, that it may not be valid to just ignore the issue.

But I think what you want to say is that the term is supposed to be interpreted as a sum over cell interiors, not as an integral over the entire domain. In the latter case, you'd have to worry about the fact that Delta uh is singular on edges, whereas in the former you ignore these contributions.

Best
 W.

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

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