After reading the documentation on Handling vector valued problems (The 
deal.II Library: Handling vector valued problems (dealii.org) 
<https://www.dealii.org/current/doxygen/deal.II/group__vector__valued.html>), 
I have the following question.

What are the differences between the three functions?

(1) FEValuesBase::get_function_gradients 
<https://www.dealii.org/current/doxygen/deal.II/classFEValuesBase.html#ad1f4e0deb5d982e8172d82141c634a67>
 

(2) FEValuesViews::Scalar::get_function_gradients 
<https://www.dealii.org/current/doxygen/deal.II/classFEValuesViews_1_1Scalar.html#a8073486fd29629a2e6caa56d7be06fff>
 

(3) FEValuesViews::Vector::get_function_gradients 
<https://www.dealii.org/current/doxygen/deal.II/classFEValuesViews_1_1Vector.html#aa469aee7243e38f768456b05a8508b12>
 


Does the (1) do all the work that the last two do? I.e., (1) gives the 
whole chunk of gradient, and the last two extract the scalar and vector 
parts from the chunk, respectively.


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