[dune-pdelab] periodic boundary conditions

[Oleh Krehel]

Dear Christian,

I need a fully periodic cube: left-right, top-bottom in 2D,
and additionally front-back in 3D.
The cube has an arbitrarily shaped inclusion(like a circle or a sphere) inside,
with Dirichlet b.c.
I was looking at section 8.4 of the tutorial explaining constraints
for Dirichlet b.c.,
but the transformation matrix there is local, when I need the global one for the
periodic b.c.
Can you point me to the source file that does what you described above?

regards,
Oleh



2011/10/31 Christian Engwer <christian.engwer at uni-muenster.de>:
> Dear Oleh,
>
>> I need to implement periodic boundary conditions for a transport problem.
>> Google shows that there's no such functionality in DUNE at the moment.
>> Perhaps someone can give me some pointers or suggestions on how
>> to implement periodic b.c. in a straightforward way.
>
> it depends on which BC you need.
>
> Straight forward: You have a mesh like this:
>
> o-x-x-x-o
> | | | | |
> o-x-x-x-o
> | | | | |
> o-x-x-x-o
>
> where the 'o' nodes are associated with each other. This kind of mesh
> is available with yaspgrid. It is implemented as a periodic mesh with
> overlap on the left and right side.
>
> If you need something more general it will get tricky and you should
> explain in detail what you want to achieve.
>
> Cheers
> Christian
>
>