On Mon, 22 Feb 2010, Rahul Sampath wrote:

> I would like to know if it is possible for a processor to own a node
> but not own any elements that touch that node. I know that this
> situation is sometimes possible if a space-filling curve partition is
> used, but I am not sure if LibMesh allows this or does something to
> prevent this from happening.

We partition elements first, then assign nodes to one of their owning
elements' processors.  The only catch I can think of is that users can
use a linear FE on a quadratic Elem, in which case a hanging node can
be owned by a processor that doesn't own any of the elements on which
its shape functions are directly supported.
---
Roy

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