[petsc-dev] what's q in snes ex62

Matthew Knepley knepley at gmail.com
Fri Nov 15 17:21:25 CST 2013


On Fri, Nov 15, 2013 at 5:09 PM, Geoffrey Irving <irving at naml.us> wrote:

> Is the second equation the weak form of incompressibility?  If so, why
> isn't q u?  It's used as q several places throughout the code, so it
> seems more likely to be my misunderstanding than a typo.
>
>   < \nabla v, \nabla u + {\nabla u}^T > - < \nabla\cdot v, p > + < v, f >
> = 0
>   < q, \nabla\cdot v >
>  = 0
>

u, v \in V and p, q \in P, and hopefully \div V = P for stability.

   Matt


> Thanks,
> Geoffrey
>



-- 
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
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