Anders Logg wrote:
> On Wed, Dec 17, 2008 at 12:15:38AM +0000, Garth N. Wells wrote:
>> I'm running into some problems with the new Function design when trying 
>> to update a solver. I'll try to sketch the issue as simply as possible.
>>
>>      Function v;
>>      Function u, p;
>>
>>      // First form for U = (u, p)
>>      FirstBilinearForm a_1(V1, V1);
>>      FirstLinearForm   L_1(V1);
>>      LinearPDE pde_first(a_1, L_1);
>>
>>      // Second form which depends on u
>>      SecondBilinearForm a_2(V2, V2);
>>      SecondLinearForm   L_2(V2, u);
>>      LinearPDE pde_second(a_2, L_2);
>>
>>      Function U;
>>      for(uint i = 0; i < 10; ++i)
>>      {
>>        pde_first.solve(U);
>>
>>        // This step breaks down because FunctionSpaces don't match
>>        u = U[0];
>>        p = U[1];
>>
>>        pde_second.solve(v);
>>      }
>>
>> The problem is in assigning Functions since we now check the FunctionSpace.
> 
> Which check is it that fails?
> 
>> To get around this, I tried
>>
>>      FunctionSpace V(mesh);
>>      Function U(V);
>>      Function u = U[0];
>>      Function p = U[1];
>>
>> which throws an exception because U does not have a vector.
> 
> What if we remove the check in operator[] and then in the constructor
> that gets a SubFunction we rely on v.v.vector() which (after Martin's
> fix from yesterday) will always return a vector with the dofs
> (possibly interpolated if there were no dofs before).
> 
>

We don't seem to have reached a conclusion on this. The problem is that

     Function::Function(const SubFunction& v)

always creates a new 'sub' space object

     _function_space(v.v.function_space().extract_sub_space(v.component))

Are there any problems if a FunctionSpace were to 'own' its subspaces 
(through a shared pointer of course) and generate them on demand? This 
way different Functions could request a sub space from the space V and 
they will get the same object (i.e. the same address). This would 
require changes in FunctionSpace but none in Function. Opinions, 
objections or suggestions?

Garth


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