[Dune-devel] Raviart-Thomas elements

[Oliver Sander]

Hi Andreas,

thanks for the information.  So Arnold, Boffi, Falk present a general construction of
Raviart-Thomas elements on quadrilaterals, but as I understand it this is not the basis of the
RT elements for cubes in dune-localfunctions?  Otherwise there would be no restriction on
the order, right?

Would you mind doing the digging for the original source of the construction for the
simplex case?  That would help me greatly.  Thank you!

Best,
Oliver

On 22.02.2016 00:45, Andreas Dedner wrote:
> Hi.
> The construction principle implemented in dune-localfunctions is
> described in Martin and my contribution to the first user meeting.
> I briefly had a look an there we only reference a paper on RT
> construction for cube elements. I'll have to do a bit of digging to
> figure out where the construction for the simplex came from.
> Best
> Andreas
> 
> On 21/02/16 23:00, Christoph Grüninger wrote:
>>> Hi Oliver,
>>> I assume you are referring to the generic RT elements
>>> for arbitrary order and dimension. I don't know how
>>> they work and where the literature about it can be found.
>>> I already asked Andreas Dedner two years ago, because
>>> there should be a formula for cubes as well.
>>
>> Found my question and Andreas' answer:
>> http://lists.dune-project.org/pipermail/dune/2012-January/009965.html
>>
>>> This migh be helpful:
>>> "FS#1374 Raviart-Thomas elements on simplices lack
>>> orientation in interface"
>>> https://gitlab.dune-project.org/flyspray/FS/issues/1374
>>>
>>> I wasn't able to find my email conversion with Andreas
>>> about this topics. Maybe I can dig it out later.
>>>
>>> Bye
>>> Christoph
>>
> 
> _______________________________________________
> Dune-devel mailing list
> Dune-devel at dune-project.org
> http://lists.dune-project.org/mailman/listinfo/dune-devel
> 

-------------- next part --------------
A non-text attachment was scrubbed...
Name: signature.asc
Type: application/pgp-signature
Size: 473 bytes
Desc: OpenPGP digital signature
URL: <https://lists.dune-project.org/pipermail/dune-devel/attachments/20160222/0c9d9fdd/attachment.sig>