Dear Daniel,

I was just wondering if their exist a similar function 
to DoFTools::map_dofs_to_support_points, but that maps a vector-valued 
solution Vector into to a std::vector<Point<dim>> instead?

Best,
Joel

On Monday, August 22, 2016 at 9:03:22 PM UTC+2, Daniel Arndt wrote:
>
> Joel,
>
> You should not rely on any particular sorting of the dofs in the solution 
> vector. Instead you can ask the FiniteElement on each cell for the 
> component of a local dof by
> const unsigned int component = fe.system_to_component_index(i).first; 
>
> Apart from that the DataOut object knows about components and you can do 
> some postprocessing on the solution vector using DataPostprocessor [1]
>
> Best,
> Daniel
>
>  [1] https://dealii.org/8.4.1/doxygen/deal.II/classDataPostprocessor.html
>
> Am Montag, 22. August 2016 17:05:08 UTC+2 schrieb Joel Davidsson:
>>
>> Dear Daniel,
>>
>> Thank you for a very good answer, adding the fe_values_scalar and 
>> cell_scalar fixed the problem.
>>
>> I have a follow-up question about the solution I get out, how is the data 
>> organized in the solution vector? Say for example I want to loop over all 
>> the x components, how would I do that?
>>
>> Best,
>> Joel
>>
>> On Friday, August 12, 2016 at 5:35:07 PM UTC+2, Daniel Arndt wrote:
>>>
>>> Joel,
>>>
>>> Yes the matrix you are assembling is a vector-valued mass matrix now.
>>> For me your code is failing with
>>>
>>> void dealii::FEValuesBase<dim, spacedim>::get_function_gradients(const 
>>> InputVector&, std::vector<dealii::Tensor<1, spacedim, typename 
>>> InputVector::value_type> >&) const [with InputVector = 
>>> dealii::Vector<double>; int dim = 3; int spacedim = 3; typename 
>>> InputVector::value_type = double]
>>> The violated condition was: 
>>>     (fe->n_components()) == (1)
>>> The name and call sequence of the exception was:
>>>     dealii::ExcDimensionMismatch((fe->n_components()),(1))
>>> Additional Information: 
>>> Dimension 3 not equal to 1
>>>
>>> and this is not surprising. What you are doing is to extract the 
>>> gradients of a vector-valued finite element solution. The object that 
>>> should store this should therefore be a 
>>> std::vector<std::vector<Tensor<1,dim>> as you want to store for each 
>>> quadrature point and each component a Tensor<1,dim>.
>>>
>>> What you want to do is really that in "Do not work". As you have two 
>>> DoFHandlers, you should also have two FEValues objects and two 
>>> cell_iterator corresponding to the correct DoFHandler. Then you can extract 
>>> the gradient of your scalar field and project it onto the ansatz space for 
>>> the vector-valued field. This should look like:
>>>
>>> typename DoFHandler<dim>::active_cell_iterator cell_scalar = 
>>> dof_handler_scalar.begin_active();
>>> typename DoFHandler<dim>::active_cell_iterator cell = 
>>> dof_handler.begin_active();
>>> ...
>>>
>>>  for (; cell!=endc; ++cell, ++cell_vector)
>>>     {
>>>       fe_values.reinit (cell);
>>>       fe_values_scalar.reinit (cell_scalar);
>>>       fe_values_scalar.get_function_gradients(test,fe_function_grad);
>>>       ...
>>>     }
>>>
>>> Best,
>>> Daniel
>>>
>>

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