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

[Anna Kalogirou]

Yes, obviously I wouldn't be able to write

assemble(u*dx)

for the trial function u, but I just wanted to show you what I have.

Is it too difficult to design such a non-conventional solver?

Thanks,

Anna.


On 17/08/15 13:04, Colin Cotter wrote:
> 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 
> <mailto: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>  <mailto: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
>>
>>
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>
>     -- 
>       
>       Dr Anna Kalogirou
>       Research Fellow
>       School of Mathematics
>       University of Leeds
>
>       http://www1.maths.leeds.ac.uk/~matak/  <http://www1.maths.leeds.ac.uk/%7Ematak/>
>
>
>
>
> -- 
> http://www.imperial.ac.uk/people/colin.cotter
>
> www.cambridge.org/9781107663916 <http://www.cambridge.org/9781107663916>
>
>
>
>
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-- 
  
  Dr Anna Kalogirou
  Research Fellow
  School of Mathematics
  University of Leeds

  http://www1.maths.leeds.ac.uk/~matak/

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