[Dune] Barycentric coordinates

[Andreas Dedner]

Hi,
Before you think about adding anything to the geometry class, define 
precisely what barycentric coordinates are in
general reference elements. For simplicity it's clear but what does it 
mean for cubes, prisms, pyramids etc?
Best
Andreas

On 10/02/16 13:21, Aleksejs Fomins wrote:
> Hey Marco,
>
> We are actively using Barycentric coordinates, however, at the moment they are part of our code Hades3d.
>
> In our case, the basis function (aka shape function) is always given in local coordinates, where the barycentric coordinates are simply {x, y, z, 1-x-y-z}. Afterwards, the basis function is mapped to global coordinates using inverse Jacobi transform.
>
> Are you talking about barycentric coordinates in local or global coordinates. If in global, please tell me what is your use case, I am interested :)
>
> P.S. Computing global barycentric coordinates in curvilinear geometries is a hell. At some point I wanted to do it, then I gave up :D
>
> Regards,
> Aleksejs
>
> On 10.02.2016 14:09, Agnese, Marco wrote:
>> Hi,
>>
>>
>> I need to compute the barycentric coordinates of a point.
>>
>> Before reinventing the wheel, is there something already implemented within Dune? I have looked inside dune-grid and dune-geometry but I haven't found anything.
>>
>>
>> If nothing is implemented, do you think would be useful to add this feature to Dune (I think it should be added as a method of Dune::Geometry)?
>>
>> Obviously I will implement such a method.
>>
>>
>> Cheers,
>>
>> Marco
>>
>>
>>
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