2009/9/12 David Knezevic <dk...@mit.edu>

> 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
>

The problem I actually have is that there's a concentrated load at a single
point, say x = 16 (domain: 0 < x < 20) which is represented mathematically
as :

-0.5 - 30 * dirac-delta(x-16)

As far as I know, this, i.e., -30 will have to be applied as a Neumann B.C
at that point.

So, is find_neighbors() the way to go?

------
Ted
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