Thank you for the tip, I will have a look into the finite differencing 
then!. One last question: Do you know if using the second derivative vs 
finite differencing would make a difference if I just want to output the 
values as a pointwise quantity?

Best,
Johanna

On Friday, December 8, 2023 at 7:12:36 PM UTC+1 Wolfgang Bangerth wrote:

> On 12/8/23 11:08, Johanna Meier wrote:
> > Thank you for your quick response Dr. Bangerth! The context I would like 
> to 
> > use du/dt in does not have a test function. So I guess I have to stick 
> with 
> > the 2nd order elements or use the finite differencing in time (Thank you 
> for 
> > the suggestion! I have not thought about that).
>
> You lose one order of convergence with every derivative. You'll very 
> likely be 
> better off using the finite differencing than evaluating the right hand 
> side 
> of a second order PDE.
>
> Best
> W.
>
> -- 
> ------------------------------------------------------------------------
> Wolfgang Bangerth email: bang...@colostate.edu
> www: http://www.math.colostate.edu/~bangerth/
>
>
>

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