Hello!

Is there a code that solves for example du/dx + du/dy = 0 with a DG 
formulation? 

I was wondering if there is any interest in creating a Space-Time DG method 
with deal.ii? The interesting aspects would be a larger temporal step and 
the ability to use Cuboids, or prisms, with the temporal domain included. 
This allows for adaptive mesh refinement throughout the temporal domain and 
solution interpolation is not needed (unless you increase the number of 
elements). The reason I haven't done this myself is because I'm new to DG 
methods and deal.ii in general. I have implemented this for a generalized 
weighted residual method with Chebyshev polynomials. but never with DG. 

It would be an interesting GitHub repository to start. If there exists a 
problem where for example  du/dx + du/dy = 0 is solved, then x or y can be 
treated as the temporal domain and you can go from there. 

Best regards,
Kristoffer

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