It looks like I might have left a loose end here. JP indeed answered my 
question :) Thanks for all of the help.

On Friday, April 7, 2017 at 9:52:21 PM UTC+2, Timo Heister wrote:
>
> > Just post a question/request and hope for the best ;-) I'm pretty sure 
> that 
> > Timo will read this at some point (won't you Timo?). 
>
> Wait, what? :-) I am skimming most threads of course. Sorry I didn't 
> reply yet. Are any questions left after JP's reply? 
>
> > Yes, I agree that the fact that there's no explicit expression of the 
> weak form makes it a little difficult to see the direct link between the 
> strong form and the assembly procedure. From what I can discern, these two 
> terms result from the linearisation of the convective term 
>
> Precisely. Take a look at the strong form after "Therefore, we arrive 
> at the linearized system:" and multiply with a test function v and 
> integrate by parts where needed. "Present_*" is the u^k and p^k (our 
> current best guess or the linearization point, or whatever you want to 
> call it), delta u^k is the unknown, and v is the test function. We 
> basically linearize 
> (u. \nabla)u, v 
> as 
> (b.\nabla) u, v + (u.\nabla) b, v 
>
> > I don't know whether the compiler would preferentially choose this order 
> of operations 
>
> It is left to right by definition (left-to-right associativity), but I 
> agree that we could be clearer. 
>
> -- 
> Timo Heister 
> http://www.math.clemson.edu/~heister/ 
>

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