Hello,

I just want to share my success - I successfully incorporated the Taylor DG 
space into my code - https://github.com/l-korous/mhdeal.

Thank you for your help.

On Friday, April 21, 2017 at 9:41:30 PM UTC+2, Lukas Korous wrote:
>
> Hi,
>
> yes, that is why I am asking for the easiest way. I will start with the 
> Taylor DG space as suggested by Praveen, It is at the moment the larger of 
> my two problems with the MHD code anyway.
>
> Will be in touch, many thanks for your help.
>
> Lukáš Korous
>
> On Fri, Apr 21, 2017 at 5:02 PM, Wolfgang Bangerth <[email protected]
> > wrote:
>
>> On 04/21/2017 08:21 AM, Lukas Korous wrote:
>>
>>>
>>>
>>>     If you work in real space, then in 2d there are 2x3 basis functions
>>>     for the linear space (two vector components, each of which has the
>>>     form a+bx+cy), of which you can eliminate one because of the
>>>     divergence constraint, if I count correctly.
>>>
>>>     If you map from the reference cell, but require that div u = 0
>>>     pointwise in real space, then things may be more complicated.
>>>
>>>
>>> Here I have no preference, whichever is an easier way to satisfy div u =
>>> 0 pointwise.
>>>
>>
>> I suspect that that's going to be difficult to do for arbitrary cell 
>> shapes if you define shape functions on the reference cell and map them.
>>
>> Best
>>  W.
>>
>>
>> -- 
>> ------------------------------------------------------------------------
>> Wolfgang Bangerth          email:                 [email protected]
>>                            www: http://www.math.colostate.edu/~bangerth/
>>
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>

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