[firedrake] Solve multiple variational problems at once

[Anna Kalogirou]

That is what is am doing and it still complains about Mismatching 
Function Spaces.. So what I have now is, let's say

u1_ = Function(V)
u2_ = Function(V)
w = Function(W), where W = V*V
v = TestFunction(W)

u1, u2 = split(w)
v1, v2 = split(v) *Here I also tried defining instead v1, v2 = 
TestFunctions(W).*

F =  fn(u1, u2, u1_, u2_; v1)
G = fn(u1, u2, u1_, u2_; v2)

u1, u2 = w.split() *OR does this need to be after the variational 
problem is solved?*
*I tried both with the same outcome.*

solve(F == 0, w)

u1_.assign(u1)
u2_.assign(u2).




On 26/11/14 12:45, Lawrence Mitchell wrote:
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> On 26/11/14 12:24, Anna Kalogirou wrote:
>> Do I still need to define u1, u2, u3 = Functions(V), where V is in
>> original space? After the variational problem is solved I split w
>> as
>>
>> u1, u2, u3 = split(w)
>>
>> and try to print u1, u2, u3 in files, but I get
>>
>> AttributeError: 'Indexed' object has no attribute
>> 'function_space'.
> Aha, you run into the split(w) vs. w.split() problem.
>
> When you're defining your variational form, you need to use the
> former.  For output purposes (and assignment in a timestepping loop)
> you need to use the latter.
>
> e.g.
>
> u1, u2 = split(w)
>
> F = fn(u1, u2; v)
>
> u1, u2 = w.split()
>
> solve(F == 0, w)
>
> u1_.assign(u1)
> u2_.assign(u2)
>
> etc...
>
>> Also, I can't interpolate or assign. In the end, I want to pass u1,
>> u2, u3 to some other functions u1_, u2_, u3_, which also appear in
>> the residual expressions. But this produces a 'Mismatching function
>> spaces' error.
> I hope the above should also clear up this problem.
>
> Cheers,
>
> Lawrence
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-- 
  
  Dr Anna Kalogirou
  Research Fellow
  School of Mathematics
  University of Leeds

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