Dear Daniel,
I understand, it perfectly makes sense.
I had not thought about using two different FEValues when looping over the 
cells.
Thank you very much!
Best
Bruno


On Monday, July 1, 2019 at 8:52:46 AM UTC-4, Daniel Arndt wrote:
>
> Bruno.
>
> Let's say I solve a first equation for Velocity, and I would like to use 
>> this velocity in another equation for advection-diffusion of say 
>> Temperature.
>> I would first set-up my DOF and FE system for my velocity equation and 
>> solve it and set-up by DOF and FE system for my Temperature.
>> However, how would I be able to set up an additional space to store my 
>> velocity at the nodes that are related to my Temperature FESystem without 
>> introducing additional unknown in my  temperature equations (Since velocity 
>> is known after all) and without assuming that both my temperature and 
>> velocity equation are numbered in the same exact fashion? 
>>
>
> For assemling a bilinear form you typically don't nees the support points 
> of the ansatz functions but their evaluations in the quadrature points.
> In your case, I would simply use two DoFHandler objects (one for each 
> system of equations) and loop over both of them for the temperature 
> equations.
>
> https://www.dealii.org/current/doxygen/deal.II/step_31.html#BoussinesqFlowProblemassemble_temperature_system
>  
> might be helpful.
>
> Best,
> Daniel
>

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