Roy Stogner wrote:
>
> On Sat, 12 Sep 2009, David Knezevic wrote:
>
>> Ted Kord wrote:
>
>>> How do I apply a Neumann B.C at an inter-element boundary?
>>
>> The same way as a usual Neumann BC... the only trick is that you have to
>> find which internal element to apply it to. One way to do this would be
>> to set the subdomain_id of elements on one side of the inter-element
>> boundary to 1 and on the other side to 2, and then search for elements
>> with subdomain_id = 1 that have a neighbor with subdomain_id = 2, and
>> apply the Neumann BC to the appropriate side of those elements.
>
> The trouble with this is that you'll still have the entries in your
> matrix from the shape functions which stretch between the element on
> one side of the boundary and on the other.  If you have a slit in your
> domain on which you want to weakly impose boundary conditions, you
> need to make it an actual topologically broken slit, and then it's
> just another set of exterior boundaries.

I was thinking of imposing an internal flux between internal elements 
(e.g. as a type of forcing, but inside the domain rather than on the 
boundary). In that situation an "internal" Neumann condition does the 
job --- the variational formulation takes care of everything for you...

- Dave

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