I am following the process from "Nodal Discontinuous Galerkin Methods" by 
Jan S. Hesthaven and Tim Warburton. It might be particular to discontinuous 
galerkin to do it this way but I claim to be no expert.

Regardless, if I do the same integral in weak form it still results the 
same. The equation would change to:

\int_cell  phi * q  =  \int_cell    -grad phi * a + \int_face    phi * 
{{a}}  * normal

Would an equation so simple need stabilizing?

On Friday, July 19, 2024 at 2:30:40 PM UTC-6 Wolfgang Bangerth wrote:

> On 7/19/24 14:10, Sean Johnson wrote:
> > 
> > I integrating by parts on the phi * grad a. First time gets it into weak 
> form. 
> > Then a second time gets it back into the original equation and into 
> strong 
> > form as I understand it. Is this misunderstood?
>
> That's at least unusual, to integrate twice. I've never seen that done.
>
> Best
> W.
>
> -- 
> ------------------------------------------------------------------------
> Wolfgang Bangerth email: bang...@colostate.edu
> www: http://www.math.colostate.edu/~bangerth/
>
>
>

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