On Wed, 5 Dec 2012, ernestol wrote:

> I will try to set the nodal value directly, thank you.

This *still* won't give you a ringing-free solution.  Imagine you're
trying to interpolate a step function which changes from 0 to 1 less
than halfway through a 3-node quadratic line element.  You'll set the
first node to 0, the second node to 1, and the third to 1, and the
quadratic function will peak 3/4 of the way through the element with a
value of 9/8, greater than 1.

What's more, didn't you say you're doing Cahn-Hilliard with the
typical polynomial free energy functional with a trough at 1?
In that case even the *true solution* can temporarily exceed 1, IIRC -
the local free energy term penalizes but doesn't forbid such excess,
and in the transient case the local term can be temporarily dominated
by the interfacial free energy effects.  If you're coupling
Cahn-Hilliard to another equation that NaNs or goes unstable or
whatever when it sees c>1, you'll need to either truncate c in the
coupling or use something like a Flory-Huggins free energy that really
does prevent c>1 solutions.
---
Roy

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