Hej, thanks for your prompt answer! 
Yes, your interpretation of my poor description is correct. So then I just 
need to create a new FEValues within the cell loop containing the points 
where I want to evaluate the shape functions, right? How do I add this 
points? 

Also if the points are in the physical quad, do I need to map them to the 
reference quad [-1,1]x[-1,1] before adding them, or I just add the points 
directly to the FEValues?

El viernes, 17 de agosto de 2018, 18:18:41 (UTC+2), Daniel Arndt escribió:
>
> Juan,
>
> I would like to ask what would be the best/fastest way to evaluate 
> *fe_v.shape_value 
>> (i,x), **fe_v.shape_grad* *(i,x)*, in points that are not quadrature 
>> points but that are guaranteed to lie within the curved cell/quad.
>>
> If I understand the situation correctly, you have a FEValues object that 
> is initialized on a cell and now you want to evaluate it at an additional 
> point that is not included in the mapped quadrature points.
> Is that the case? If so, I would either add that point to the existing 
> FEValues object or build a separate one that includes the quadrature point 
> (with respect to the unit cell) you want to evaluate the shape functions at.
> It is sufficient to initialize this separate object for cells for which 
> you actually need it.
> Maybe, I misunderstand what you want. Can you specify the issue you are 
> trying to solve?
>
> Best,
> Daniel
>
>

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