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.

--
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Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/


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