[firedrake] Solve a Variational problem in a part of the domain

[Colin Cotter]

Hi Anna,
  Not as written, no. I think that we would need to design a bespoke solver
for that.

all the best
--cjc

On 17 August 2015 at 12:18, Anna Kalogirou <a.kalogirou at leeds.ac.uk> wrote:

> Hi all,
>
> I have to solve a problem with the bilinear form similar to the following:
>
> a = ( v*u + dt*inner(grad(u),grad(v)) )*dx + ( v*dt*assemble(u*dx) )*dx
>
> The last term is essentially the product of the integral of u and the
> integral of test function v.
> Is it even possible to solve this in Firedrake?
>
> Best,
>
> Anna.
>
>
> On 14/08/15 15:43, Lawrence Mitchell wrote:
>
> On 14 Aug 2015, at 11:55, Anna Kalogirou <a.kalogirou at leeds.ac.uk> <a.kalogirou at leeds.ac.uk> wrote:
>
> Hi,
>
> I was planning to define the heavyside function as a DG0 function.
>
> Any ideas about solving equation (1b), which contains a time-update for both a function and a scalar?
>
> I haven't been fully following along, but it looks like the formulation in (1f) introduces, effectively, a global coupling.  Is that right?  Assuming you didn't have any implementation constraints, how would you go about solving this?
>
> Lawrence
>
>
>
> _______________________________________________
> firedrake mailing listfiredrake at imperial.ac.ukhttps://mailman.ic.ac.uk/mailman/listinfo/firedrake
>
>
> --
>
>  Dr Anna Kalogirou
>  Research Fellow
>  School of Mathematics
>  University of Leeds
>
>  http://www1.maths.leeds.ac.uk/~matak/
>
>


-- 
http://www.imperial.ac.uk/people/colin.cotter

www.cambridge.org/9781107663916
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