> Sorry for such a ridiculously long delay.  I attach a picture to
> demonstrate what I mean.
> 
> This picture should show $\theta_s$ either taking a value of 0.03 or 0,
> depending on spatial co-ordinates. I don't know how values greater than
> 0.03 are appearing, as I'm doing nothing but projecting the values onto an
> already refined grid.

I would say write the minimal program that shows this problem (should be 
doable in one or two pages of code) and send it to us. It's indeed strange 
that there are only over- but not undershoots and that the overshoots only 
happen on one side of the square...

W.

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