[petsc-dev] what's q in snes ex62
Matthew Knepley
knepley at gmail.com
Fri Nov 15 17:37:14 CST 2013
On Fri, Nov 15, 2013 at 5:31 PM, Geoffrey Irving <irving at naml.us> wrote:
> On Fri, Nov 15, 2013 at 3:21 PM, Matthew Knepley <knepley at gmail.com>
> wrote:
> > 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.
>
> Are you using the same variables as
>
>
> http://fenicsproject.org/documentation/dolfin/dev/python/demo/pde/stokes-iterative/python/documentation.html
>
> If so, maybe that line should be
>
> < q, \nabla\cdot u >
>
> I.e., "u" instead of "v"?
Damn, you are right.
Matt
>
> 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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